UA061408

13th International Congress on Physics (ICPP 2006)

Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine May 22-26, 2006

BOOK OF ABSTRACTS

Part I. Sections A, B, C

KIEV 2006 13th International Congress on Plasma Physics (ICPP 2006)

Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine May 22-26, 2006

BOOK OF ABSTRACTS

Part I. Sections A, B, C

KIEV 2006 Preface

The 13th International Congress on Plasma Physics (ICPP 2006) is hosted, on behalf of the National Academy of Sciences of Ukraine, by the Bogolyubov Institute for Theoretical Physics (BITP). The Congress is held in the Institute of International Relations of the Shevchenko National University of Kiev.

Five main topics are covered: A. Fundamental Problems of Plasma Physics B. Fusion Plasmas C. Plasmas in Astrophysics and Space Physics D. Plasmas in Applications and Technologies E. Complex Plasmas

The discussions are held in the traditional ICPP format: 5 plenary sessions (9 Invited Plenary Talks, 45 min. each) 10 review sessions (32 Invited Topical Talks, 30 min. each) 12 oral sessions (60 oral presentations, 20 min. each) 3 poster sessions

The Book of Abstracts contains the abstracts of invited and contributed papers. Full texts of the Invited Papers will be published as a special issue of Plasma Physics and Controlled Fusion. A copy will be sent to each registered participant. Four-page texts of contributed papers will be published in electronic (CD) form and posted on the Congress Website.

The structure of the Book of Abstracts follows the format of the Congress. Each abstract is labeled with a 5-character number indicating its status and section. Abstracts of Invited Plenary (IP) Talks are labeled with numbers IP001 - IP009. Labels of the abstracts of Invited Topical (IT) Talks begin with IT, the third character corresponds to the Topic (from A to E), the fourth and fifth characters show the session and the number of the talk. Thus, ITB45 would indicate the fifth Invited Talk at the fourth session B. Labels of the abstracts of contributed talks begin with the Topic labels. Numbers from 001 to 012 are given to oral presentations (this fact is also shown by the last character "o"), numbers from 013 label poster presentations, the last character "p". Thus, the number A235p would belong to the 235th poster presentation in section A. INTERNATIONAL ADVISORY COMMITTEE M. Virginia ALVES National Institute of Space Research, BRAZIL Sadruddin BENKADDA CNRS-Universite de Provence, FRANCE Robert BENGHAM Rutherford Appleton Laboratory, UK Susanna CAPPELLO Associazione Euratom-ENEA sulla Fusione, ITALY Diego del-CASTILLO-NEGRETE Oak Ridge National Laboratory, USA Michel CHATELIER Association Euratom-CEA, FRANCE C.Z. (Frank) CHENG , USA Robert L.DEWAR Australian National University, AUSTRALIA Dominique ESCANDE CNRS-Universite de Provence, FRANCE Daniela FARINA Euratom-ENEA-CNR Association, ITALY Cary FOREST University of Wisconsin, USA Vladimir E. FORTOV IHEDRAS, RUSSIA Evgeniy GUSAKOV Ioffe Institute, RUSSIA Malcolm G. HAINES Imperial College of Science, UK Xian-Tu HE Institute of Applied Physics and Computational Mathematics, CHINA Manfred HELLBERG University of Kwazulu Natal, SOUTH AFRICA Pascale HENNEQUIN Ecole Polytechnique, FRANCE Julio E. HERRERA Universidad Nacional Autonoma de Mexico, MEXICO Osamu ISHIHARA Yokohama National University, JAPAN Padma Kant SHUKLA Ruhr University of Bochum, GERMANY Hector KELLY Universidad de Buenos Aires, ARGENTINA Yasuhito KIWAMOTO Kyoto University, JAPAN MarkKOEPKE West Virginia University, USA Akio KOMORI National Institute for Fusion Science, JAPAN Siegbert KUHN University of Innsbruck, AUSTRIA Hi Jae Koo LEE Pohang University of Science and Technology, SOUTH KOREA Jiangang LI Chinese Academy of Sciences, Institute of Plasma Physics, CHINA Alexander G. LITVAK Institute of Applied Physics, RAS, RUSSIA Georges J. MORALES UCLA, USA VolkerNAULIN Assoc. Euratom - Risoe National Lab, DENMARK Roberto POZZOLI Universita di Milano, ITALY Yi-Kang PU Tsinghua University, CHINA Guido Van OOST Ghent University, BELGIUM Paulo H. SAKANAKA Instituto de Fisica, BRAZIL Kohnosuke SATO Kyushu University, JAPAN Noriyoshi SATO Tohoku University, JAPAN Abhijit SEN Institute for Plasma Research, INDIA Frans W. SLUIJTER Eidhoven Univ. of Technology, The NETHERLANDS HenningK.A. SOLTWISCH Ruhr-Universitat Bochum, GERMANY Leopoldo SOTO Chilean Nuclear Energy Commission, CHILE Jan STOCKEL Ac. Sci. of the Czech Republic, Institute of Plasma Physics, CZECH REPUBLIC Ulrich STROTH Universitat Stuttgart, GERMANY Richard SYDORA University of Alberta, CANADA Shuichi TAKAMURA Nagoya University, JAPAN Michael TENDLER Royal Institute of Technology, Fusion Plasma Physics, SWEDEN ChanchalUBEROI Indian Institute of Science, INDIA Frank VERHEEST Ghent University, BELGIUM Masaaki YAMADA Princeton University, USA Tatsuhiko YAMANAKA Osaka University, JAPAN Anatoly ZAGORODNY Bogolyubov Institute for Theoretical Physics, UKRAINE

IV PROGRAM COMMITTEE

Anatoly ZAGORODNY Bogolyubov Institute for Theoretical (Chairman) Physics, UKRAINE

OlhaKOCHERGA Bogolyubov Institute for Theoretical (Scientific Secretary) Physics, UKRAINE Boris BREIZMAN The University of Texas at Austin, USA Iver CAIRNS School of Physics, University of Sydney AUSTRALIA [Tatiana DAVYDOVA] Institute for Nuclear Research, UKRAINE Tony DONNE FOM-Institute for Plasma Physics Rijnhuizen THE NETHERLANDS Nikolai S. EROKHIN Space Research Institute of RAS, RUSSIA Xavier GARBET CEA, FRANCE ValeryGODYAK OSRAM SYLVANIA, USA Katsumi IDA National Institute for Fusion Science, JAPAN Alexander KINGSEP Russian Research Centre "Kurchatov Institute", RUSSIA E.P. KRUGLYAKOV Budker Institute of Nuclear Physics, RUSSIA Gregor MORFILL Max-Planck-Institut fur extraterrestrische Physik, GERMANY Osamu MOTOJIMA National Institute for Fusion Science, JAPAN JefONGENA ERM-KMS Brussels and EFDA-JET, UNITED KINGDOM Konstantyn SHAMRAI Institute for Nuclear Research, UKRAINE Raghvendra SINGH Institute for Plasma Research, INDIA Konstantyn STEPANOV National Science Center, "Kharkiv Institute of Physics and Technology", UKRAINE Masayoshi TANAKA National Institute for Fusion Science, JAPAN NodarTSINTSADZE Physics Institute, GEORGIA LOCAL ORGANIZING COMMITTEE

• Anatoly ZAGORODNY (Chairman)

• Volodymyr ZASENKO (Vice-Chairman)

• Olha KOCHERGA (Scientific Secretary)

• Volodymyr DAILIDONIS

• Mykola HLUSHKO

• Victor KUBAICHUK

• Tamara LYSYTCHENKO

• Stepan MOSKALIUK

• EugenMEINAROVICH

• ZoyaVAKHNENKO

• Anatoly ZHOKHIN Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine 14-B Metrolohichna Str. 03680 Kiev-143 Ukraine

VI INVITED PLENARY TALKS

IPOOl WILHELMSSON H. Fusion and Cosmos IP004 STENZELR.L. Nonlinear whistler phenomena in plasmas IP005 WEILANDJ. Progress in the theory of anomalous transport in , drift waves and nonlinear structures IP006 YAMADAH. Study on magnetic configuration to (PPPL,USA) enhance energy confinement and high beta regime in the Large Helical Device IP007 PETROVO. Structure and transfer phenomena in dusty plasma liquid IP008 YAMADAM. Recent development of research on (NIFS, Japan) and magnetic self-organization in laboratory and space astrophysical plasmas IP009 MIZUNOA. Industrial applications of atmospheric non-thermal plasma in environmental remediation

SECTION A FUNDAMENTAL PROBLEMS OF PLASMA PHYSICS

Anomalous helicon wave absorption and parametric IT All KRAEMERM. excitation of electrostatic fluctuations in a helicon-produced plasma ITA12 DECYKV. UPIC: A framework for massively parallel PIC codes ITA21 SMOLYAKOVA. Nonlinear effects in inductively coupled plasmas

vu ITA22 ZASENKOV. Particle diffusion in external field of random Langmuir waves ITA23 SATOK. Unique laser oscillations by shock-wave heated plasma and supersonic nozzle flow AOOlo TSINTSADZEN. Nonlinear dynamics of incoherent strong radiation in a plasma A002o SHAHH. Generation of vortex rings by nonstationary laser wake field A003o SIMONCHIKL. Parametric decay instability control in inhomogeneous plasma by the pump frequency modulation A004o CALLEBAUTD. Nonlinear Fourier stability analysis A005o EROKHIN N. The charges acceleration due to parametric Interaction with the ensemble of electrostatic waves of finite amplitude AOO60 DEWARR. Zonal flow generation by modulational instability A007o MORALES G. Alfvenic phenomena triggered by resonant absorption in a magnetized plasma AOO80 FRANK A. Structure and dynamics of current sheets in 3D magnetic fields with the X line and manifestations of two-fluid plasma properties A009o MIKHAILENKO V. Kinetic theory of the stability of the inhomogeneous plasmas with shear flows AOlOo HEX.T. Transport of relativistic electron beam in intense laser-plasma interaction AOllo TAKAMURAS. Statistical approach to bursty plasma fluctuations in toroidal and linear plasma devices A012o HORIUCHIR. Collisionless driven reconnection in an open system

vm A014p SHTYKV. Cumulant expansions for solutions of the quantum BBGKY hierarchy A023p KURBATOVP. Jumps in current, shock waves, and hysteresis phenomena in low- pressure gas D.C. discharge plasma A030p SILINV.P. Bifurcation of the circular polarisation of harmonics generated in plasmas by pumping field A031p MEHDIPOORM. Propagation of large amplitude ion acoustic waves in a plasma consisting of two temperature electrons and electron beam A034p TARASOVM. The observation of Landau damping and diocotron echoes in a pure electron plasma A035p SYTNYKOVD. The phenomena of electron charge ejection on the drift chamber wall during the hot electron beam transportation A040p ESFANDYARIA. Electrostatic mode envelope excitations in warm pair ion plasmas with a small fraction of stationary positive ions - application in e-p-i and doped fullerene plasmas A041p TARANOVV. Symmetry extensions in kinetic and hydrodynamic plasma models A043p AZARENKOVN. Effect of negative-ion flux on ion distribution around a spherical probe in electronegative plasmas A044p TSIOLKOV. Inverse electron distribution function in glow discharge with hollow cathode in the mixture of N2 and SF6 A045p SHUSTINE. Dynamics of beam plasma instability in a bounded volume: computational experiment ix A046p SUGAYAR. Relativistic electron beam acceleration by Corapton scattering of extraordinary waves A050p SHUSTINE. Acceleration of ions in beam plasma discharge at a low magnetic field. Coordination of energy distributions of electrons and ions Alllp CHEKHY. Formation of electron vortices in ion beam plasma in crossed ExB fields A112p PAVLENKOV. The scattering and transformation of electromagnetic waves by density fluctuations in turbulent magnetized plasma A113p PAVLENKOV. Turbulent diffusion in magnetized parametrically unstable plasma A114p KANEKOT. Flow shear effects on drift-wave instability in multi-ion plasmas A117p SHOKRIB. Some macroscopic properties of plasma state through thermodynamical approach A118p SHOKRIB. Size influence on cohesion energy of nano-materials Stable two-dimensional soliton A119p LASHKINV. and vortex structures at the upper- hybrid resonance X-ray spectroscopy, preliminary A126p ZAMBRAM. experimental results in low- energy plasma focus devices Potential formation in a plasma A131p CERCEKM. with two positive ion species A132p GYERGYEKT. Multiple floating potentials of an electron emitting electrode A133p MOROZOVI. Free and bound electrons in molecular dynamics simulations of nonideal plasmas A134p SHUKLAP.K. Parametric instabilities of coupled Langmuir and ion oscillations in a cold quantum plasma A135p YELISEYEVY. Non-local theory of spectra of "modified" ion cyclotron waves in plasma with large ion orbits in crossed fields A136p PELLERINS. Linear and non-linear laser spectroscopy in studies of low- temperature and high-density plasmas A150p NORMAN G. Smooth cut-off of high level terms of atomic partition function in nonideal plasmas A151p KAJTTAS. Investigation and application of the line intensity ratio method for measurement of electron density and temperature A154p CRAMER N. Nonlinear electromagnetic waves in electron-positron plasmas A155p TAKAHASHIK. Effects of ion flow energy on self- consistent double-layer formation due to ECR in a conversing magnetic field A156p RYABUKHAT. Regularized Solution of BBGKY Hierarchy for One-Dimensional System A157p STUPKAA. Influence of correlations of the electric field on plasma waves Connected oscillations of plasma A158p STUPKAA. temperature and correlations of electromagnetic field Equations for correlations of the A159p SOKOLOVSKYA. electromagnetic field in hydrodynamic plasma Tempposter simulation of the A160p GHOMIH. sheath evolution related to the target with grooves Effect of an oblique magnetic A161p GHOMIH. field on a plasma sheath consisting two-species positive ions

XI A162p KUDRINA. Damping of whistler modes guided by cylindrical plasma structures A163p KUDRINA. Whistler wave propagation in a magnetic-field duct Synchrotron radiation in electron A165p LIU HONG acceleration through the resonance of high magnetic field and intense laser Emissive probe measurements in the DC low temperature A168p MAREKA. magnetized plasma in cylindrical configuration Stable multisolitary structures in A169p YAKIMENKOA. plasmas with nonlocal nonlinearities A170p OOHARAW. Collective modes in pair fullerene-ion plasma Nonlinear propagation of high A171p NKNAMA.R. frequency electromagnetic wave into the underdense plasma Unconventional surface A172p GALAYDYCHV. electromagnetic waves at plasma- vacuum boundary Kinetic Alfven instability driven A173p SIVERSKYT. by non-uniform currents. Dissipation range of the A174p GOGOBERIDZE G. anisotropic plasma turbulence Theory of horseshoe maser A175p VORGULI. instability Polarization-reversal-induced A176p TAKAHASHIK. absorption of an axisymmetric left-hand polarized wave on electron cyclotron resonance A177p IVANOVA. Plasma chaos near the threshold amplitude A178p IVANOVA. Threshold phenomenon for damping of a Langmuir wave of finite amplitude

xu A181p SCHRITTWIESERR. Space charge effects of emissive probes, investigated in A DP- machine A182p SCHRITTWffiSERR. Transition to chaos through a cascade of period doubling bifurcations in plasmas A183p TOTSUJIH. Spin-polarized electrons in quantum dots simulated by classical mapping A184p BORGOGNOD. New results on 3D collisionless magnetic reconnection A186p KOCHETOVA. Self-consistent electromagnetically driven Langmuir turbulence A187p YADAVV.K. ECR breakdown experiments in a cylindrical system A188p SPOROVA. Electromagnetic non-symmetric wave in cylindrical waveguide structure partially filled by magnetized dissipative non- uniform plasma A190p MILANTIEVV.P On the relativistic ponderomotive force A191p MURTAZAG. Color collective modes and linear Landau damping in quark-gluon plasma A192p PAVLENKOV. Influence of an upper-hybrid pump on temperature relaxation process in a magnetized plasma A193p POTAPENKOI. New direct simulation method for the Boltzmann equation with long-range forces and for the Landau equation A194p SOODJ. Reflectivity of low-energy photons from one and two dimensional rare hot quantum and classical plasmas

xm SECTION B FUSION PLASMAS

ITBll KAWP.K. Intermittency like phenomena in plasma turbulence ITB12 VANOOSTG. Experimental and theoretical investigations of the role of microturbulence and electric fields in the establishment of improved confinement in plasmas through inter-machine comparisons ITB21 VOLKOVE.D. Formation of transport barriers in helical systems MHD flow layer formation at ITB22 Jia-QiDONG boundaries of magnetic islands in toroidal plasmas Relaxation oscillations and ITB23 BEYER P. transport barrier dynamics in tokamak edge plasmas A new paradigm for RFP ITB24 MARTIN P. magnetic self-organization: results and challenges 2-D images of heat transfer ITB31 PARKH. during driven reconnection processes in magnetically confined plasmas ITB32 KIKUCfflY. Experimental and theoretical analysis of the excitation of error field modes by the dynamic ergodic divertor on the TEXTOR tokamak High plasma current and high ITB33 BUTTERY R. triangularity operations in JET with the new MKII_HD divertor ITB34 KASELOVS. Evaluation of transport coefficients in stellarators using field line integration techniques xiv ITB41 JOFFRINE. Extension of the operational domain of the "hybrid" scenario ITB42 KOLESNICHENKOY. Magnetohydrodynamic activity and energetic ions in fusion plasmas BOOlo SCHRITTWIESERR. Measurements of fluctuations with probes in the edge region of various toroidal plasmas B002o DURANI. Hall sensors - diagnostic approach to magnetometry in present fusion devices and ITER Reflectometry capabilities for B004o HEURAUXS. the density fluctuation measurements in magnetized plasmas illustrated by Tore Supra measurements Application of powerful quasi- B005o TERESHINV steady-state plasma accelerators for simulation of ITER transient heat loads to the divertor surfaces BOO60 IVANOVA. New effects in physics of modern mirrors B007o TANAKAK. Experimental study of anomalous particle transport and microturbulence in LHD BOO80 FUJISAWAA. Experimental observations of zonal flows and turbulence in a toroidal plasma B009o ARTAUDJ.-F. Integrated modelling of burning plasmas in ITER BOlOo CIRAOLOG. Control of chaotic transport and applications to plasma confinement BOllo LI DING Influence of magnetic field and shear flow on the Rayleigh-Taylor instability

JCV B012o MORISAKIT. Formation of internal diffusion barrier in LID configuration on LHD B016p BORAM.P. Limit cycle oscillations and sawtooth disruptions B019p NICOLAIA. Modelling of plasma rotation under the influence of the dynamic ergodic divertor in the tokamak TEXTOR B020p MARCHENKOV. Circulating-ion-driven fishbone instability in plasmas with the weak-shear core B021p LUTSENKOV. Confinement of fast Ions in the presence of the radial electric field in Wendelstein- line stellarators B022p YAKOVENKO Y.V. Poloidal trapping of high- frequency Alfven eigenmodes in stellarators B023p GUSAKOVE. Investigation of small scale tokamak plasma turbulence by correlative UHR backscattering diagnostics Blllp GOUDARZIS. Experimental study of the variation of neutron emission anisotropy in a Filippov-type plasma focus facility B112p IDEHARAT. Development of THz gyro- trons for plasma diagnostics B113p LEBEDEVS. Neutral beam heating in the TUMAN-3M tokamak B114p DYACHENKO V. Investigation of ICR heating efficiency in the spherical tokamak Globus-M B115p SATOK. Development of a size- controllable pellet injector for ablation studies B116p ASTRELINV.T. The phenomenon of anomalous fast heating of ions

xvi during relaxation of an electron beam in plasma of multimirror trap GOL-3 B118p OGAWAI. Plasma scattering measurement using a submillimeter wave gyrotron as a radiation source B119p OGAWAL Development of a quasi- optical transmission system for gyrotron application as a radiation source B121p BOLSHAKOVAI. Present day experience in the use of galvanomagnetic radiation hard transducers in fusion devices B122p HOLODI. MHD modes in a global gyro- kinetic particle simulations B123p DEVYNCKP. Extraction of coherent events out of turbulent signals B125p KOMORIA. Edge plasma control by ergodic layers on Large Helical Device B126p BONFIGLIOD. Impact of a uniform plasma resistivity in MHD modelling of helical solutions for the reversed field pinch dynamo B130p WATANABEK. Effects of MHD instabilities on confinement property of high beta heliotron plasmas B132p SOTOL. A mega ampere gas emebedded Z-pinch driven by SPEED2 generator B136p TYKHYYA. Mitigation of stochastic diffusion losses in optimized stellarators B138p GRISHANOVN. Radio frequency wave dissipation by electron Landau damping in tokamaks with Solov'ev equilibrium

xvn B139p PORCELLIF. Recent progress on the undersatnding of sawtooth oscillations in tokamak plasmas B140p NEUDATCHIN S.V. Dynamics of formation and transport properties of internal transport barriers at T-10, JT- 60UandLHD

SECTION C PLASMAS IN ASTROPHYSICS AND SPACE PHYSICS

ITC12 DRAKE J. F. A Fermi model for the production of energetic electrons during magnetic reconnection ITC13 KOEPKEM. Sheared-fiow-driven plasma fluctuations in space and laboratory ITC14 DENDYR. Space plasmas and fusion plasmas as complex systems COOlo ANISIMOVI. Inhomogeneous plasma profile deformation due to the modulated electron beam Different types of plasma C004o PEREZ-PERAZA J. turbulence in the process of solar particle acceleration: new models and observations Geomagnetic response and C005o ALVESM.-V. interplanetary aspects of the -Earth connection events on April 1999 and February 2000 coo6o MCMILLAN B. Parallel electron and perpendicular ion energisation via lower hybrid waves C007o CAIRNS I. Electron acceleration due to lower hybrid waves in magnetic reconnection regions

xviu C008o TRINESR. Wave collapse of drift mode turbulence into zonal flow cavitons C009o BALLR. Coupled edge-core dynamics COlOo HORANYIM. Dusty plasmas and Saturn's rings COllo UBEROIC. A model for quantification of phenomena C012o ZHARKOVAV. Particle acceleration and energy spectra in a 3D reconnecting current sheet C013p BELASHOVAE. Evolution of solitary waves in complex media with variable dispersion C016p MIROSHNICHENKO L. High-energy phenomena, pla- sma properties and particle acceleration in the Sun's atmo- sphere: observations and theoretical implications C018p MOSKALIUKS. Two-fluid plasma description and CMB polarization C021p GRISHANOVN. Proton cyclotron instability in two-dimensional magnetospheric plasmas with anisotropic temperature C024p PANIVENIU. Fractal Structures of Solar Supergranular Cells C026p BELASHOVV. Evolution and stability of the 3D FMS wave beams in a magnetized plasma C113p KHERANIE.A Ionospheric plasma response during tsunami: linear analysis and nonlinear simulation C114p KHOTYAINTSEVM.V. Comparative analysis of density fluctuations in the and the Earth's foreshock with application to scattering of radio waves

xix C115p SOBHANIANS. Gas-dynamical description of the propagation of a cloud of hot electrons through a plasma with decreasing number density C117p SADOVSKIA. The revised GRV model of accretion disc corona C118p. BELOVA. Laboratory modeling and artificial stimulation of the magnetospheric maser effects C120p DALAKISHVILIG. Influence of centrifugal and radiation reaction forces on dynamics of relativistic charged particles moving in the magnetospheres of the rotating astrophysical objects C121p FERREIRAI. Galactic emission mapping with a 5 GHz polarimeter C122p ZHELEZNYAKO. Dynamic effects of radiation interaction in the self- gravitating systems Influence of dust particles on C124p ZHELEZNYAKO. attenuation of magnetic field and dynamics of the space plasma Dynamics of the beam driven C125p MUSATENKOK. Langmuir wave packet in a plasma with random inhomogeneities Dust charge distribution in C126p KLYMENKOY. near-Earth plasma: analytical solution of discrete population balance equations C127p KHOTYAINTSEVY. Electric structure of a reconnection separatrix region C128p SHERLOCK M. The role of electron transport in generating ion shocks in dense targets irradiated by intens, short laser pulses

xx C131p FURUKAWAM. Singular behavior of axisym- metric magnetorotational instability near the central object of an accretion disk C132p RAMAZANOVT. Thermodynamic and transport properties of a dense semiclassical plasma C133p RAMAZANOVT. Electron-atom collision cross sections in partially ionized dense plasma C144p SHARMAA. Stationary self focusing of Gaussian electromagnetic beams in the ionosphere C145p VORGULI. Numerical and laboratory simulations of auroral cyclotron radiation processes C146p AHMADIZADEH T.Y. Electromagnetic wave scattering from the relativistic electron beam C147p BOSWELLR. New concepts in space thrusters C148p MUNOZV. Kinetic effects on the parametric decays of Alfven waves in relativistic pair plasmas C149p SAMCHUKO. Whistler mode transition radiation of the modulated electron beam on the smooth plasma boundary C150p KYZYUROVY. Plasma irregularities in the lower ionosphere C151p LEVASHOVAM. Quasiclassical kinetics of highly excited atomic states population in laboratory and astrophysical plasmas C152p RAPOPORTY.G. Stable and unstable response of the ionospheric F region to the spatial packet of atmo- spheric gravity waves (AGW) of the lithospheric origin xxi C153p RAPOPORTY.G. Response of the unstable equatorial F region of the ionosphere to the atmospheric gravity waves exited by the sources of seismic origin C154p BELASHOVV. Spectral approach to numerical integration of the GKP-class equations in the problems of nonlinear wave dynamics simulation C155p CAIRNS I. Type-Ill solar radio bursts: an archetypal stochastic growth system

SECTION D PLASMAS IN APPLICATIONS AND TECHNOLOGIES

ITDll HOLLAND C. Experimental studies of drift wave-zonal flow turbulence ITD12 CHENF.F. Extended helicon source with permanent magnets ITD13 CHARLES C. Laboratory plasmas applied to the hydrogen economy (fuel cells) ITD14 INUTAKEM. Supersonic flow generation for basic MHD studies and space applications ITD21 HRABOVSKYM. Treatment of waste materials in thermal plasma ITD22 ONISHCHENKO I. Wake-fields excitation in plasma/dielectric for advanced acceleration schemes DOOlo KARAS" V. Interaction of microwave radiation undergoing stochastic phase jumps with plasmas or gases

xxii D003o TSIOLKOV. Component content of active particles in plasma-chemical reactor based on a volume barrier discharge D004o deSOUZAJ.H.C. Experimental study of the particle dynamincs in a Plasma Hall Thruster through optical spectroscopy D005o PELLERINS. Experimental study of a MIG- MAG welding arc DOO60 SOTOL. X-ray emission from an ultra miniature pinch focus discharge operating at 0.1 Joule: Nanofocus D007o CHENQIANG A high density of carboxyl group PAA film polymerized in plasma D009o MUKHERJEES. Surface engineering with plasma nitriding and plasma immersion ion implantation DOlOo VIKHAREVA. Nonequilibrium plasma produced by millimeter wave beams in CVD diamond technology DOllo GIRKAL Influence of striction nonlinearity and parametric ion cyclotron turbulence on the structure of Alfven resonance in a helical confining magnetic field D012o GORBUNOVN. Development of a plasma photoelectric converter of the focused optical radiation D013p AMIRIS. Formation of fee A1N layer on aluminum surface by DC plasma assisted nitriding D014p MORADSHAHIM. Improvement of corrosion resistance of plasma nitrided stainless steel

xxiu D016p TSIOLKOV. Efficiency of water disinfection by UV radiation of plasma of the discharge with hollow cathode D018p ARSENINA. Self-consistent simulation and analysis of the electron heating processes in a neutral loop discharge D020p ZHOVTYANSKYV. Electric arc plasma: study and application in Ukraine D022p ESSIPTCHOUKA. Plasma wind tunnel: Diagnostics of subsonic plasma jet D023p SPASSOVSKAI. Plasma wind tunnel: Temperature jump effect of testing material samples D026p FERREIRA J.-L. Permanent magnet Hall thruster performance for near Earth space missions D027p PETRACONIG. Study of carbon reactivity in oxygen plasma using mass- spectrometry D029p MACIELH.-S. Studies of Ar/N2 plasma for growing amorphous and crystalline A1N thin-film in a hollow-cathode magnetron sputtering system D030p RISACHERA. Active stabilization of low- current arc discharges in atmospheric-pressure air D033p PORYTSKYYP. Thermodynamic properties and transport coefficients in metal seeded arc plasmas D034p MARENKOVV. Charge composition of soot grains in the plasma of burning hydrocarbon fuels D036p ILCHENKOE. Influence of non-unified electric field to combustion of liquid hydrocarbon fuels

XXIV D037p MOZELEVA. Compact x-ray sources for plasma diagnostic methods Investigation of fully Dlllp ABDDOANA. relativistic effects growth rate for free-electron laser in completely filled waveguide Relativistic effects in a waveguide completely filled D112p ABDIKIANA. by energetic electron beam for free-electron laser Multicharged ion formation in plasma of electron cyclotron D113p SIDOROVA. resonance discharge D114p LITOVKOI. Extraction and acceleration of high-current ion beams of multiply charged ions Model of discharge in crossed D115p LITOVKOI. ExH fields with closed electron drift under low pressure D116p BORISKOV. Metal-hydride activation of hydrogen as a tool of ions energy controlling In plasma sources D120p CHICHINAM. A study of ZnO and ZnO:Al thin films deposited by RF plasma jet at atmospheric pressure D121p GURYNA. Numerical model of rf inductive discharge in magnetic field D122p BOLOUKIN. Effect of cathode material in obstructed discharge regime D123p SLOBODYANV. Distributions of plasma parameters, electron energy characteristics and LF wave activity in a magnetized ICP

XXV D124p HATAMIM. Effect of an oblique magnetic field on a plasma sheath consisting two-species positive ions D125p SHAMRAIK. Driving mechanisms of ion- acoustic activity in an m = 0 helicon plasma D126p VIRKOV. Continuous and discrete spectra of LF and HF waves in a helicon plasma D127p VIRKOY. Compact helicon plasma source with various permanent magnet configurations D130p POTAPENKO I.F. Electron heating and acceleration while magnetoshere substorm due to varying phase velocity D131p RADJABOVT. Technology of ion-plasma deposition of decorative coatings on ceramic materials D134p DENYSENKOI. Plasma nanoscience: introducing the International Research Network for deterministic plasma-aided nanofabrication D136p RASTKARA.-R. Effect of plasma nitriding on the surface of gamma based titanium aluminides D141p VEKLICHA. Plasma of free burning electric arc between composition electrodes in air D142p ZUINM. Suppression of kink instability in magneto-plasma-dynamic thrusters D143p PRYSIAZHNEVYCH I. Optical research of low- pressure plasma-liquid system D144p YUKHYMENKO V. Plasma combustion of ethanol/air mixture in the transverse arc

XXVI D145p VEREMIII. Optical properties of plasma- liquid system with discharge in the gas canal with liquid wall and secondary discharge D146p NAUMOVV. Transverse arc as the source of non-equilibrium plasma of atmospheric pressure D149p TOMASIA. The role of plasma spray techniques on the development of solid oxide fuel cells D150p KIYANCHUKM. Evoltion of the modulated electron beam in supercritical plasma simulation of initial- boundary problem D151p MURAKAMI M. Finite mass effect on ion acceleration in plasma expansion into vacuum D152p ZAVADAL. Influence of a high-voltage power pulse duration on the ozone synthesis efficiency in the system of needle-to-plane electrodes D153p PELLERINS. Experimental analysis of a double spark ignition system D167p MANUILENKO O.V. Electrons stochastic heating in capacitive RF discharges by plasma oscillations D168p MORDYKS. High-plasma-density helicon source for ion beam application D169p REYES P. Study of the plasma emission lines of different gases in air D170p PUGACHS. Influence of electronegative admixture on atmospheric pressure discharge in N2/O2 mixture D171p SHARMAS.C. Effect of beam pre-bunching on gain and efficiency in Cerenkov free electron laser xxvii D172p GAPON A. Gas discharge sustained by surface waves propagating along the hybrid system D174p GAPON A. Exact solution of wave equations in the p[lasma resonant point vicinity D176p GAPON A. Ion free fall gas discharge regime modeling by Schrodinger equation D177p SIMONCHDCL. Peculiarities of the gas temperature profiles in the dc atmospheric pressure glow discharge D178p TSYDYPOVB.D. Heat transfer on system thermionic cathode - near- electrodes plasma D179p RUTBERGP.G. Monitoring and control of operating parameters of ac plasma generators as a part of plasmochemical installations

SECTION E COMPLEX PLASMAS

IT Ell VLADIMIROVS. Collective particle dynamics in complex plasmas ITE12 MORFELLG. Recent results in the study of dusty plasmas IT El3 SHUKLAP.K. Collective dust plasma interactions ITE14 FORTOVV. Intense shock waves and strongly compressed plasmas EOOlo FRAIMANG.M. Collision effects in ultra high illuminated plasmas E002o DRAGAN G. Applying equilibrium theory to smoky plasmas E003o SCHRAMP. Kinetic theory of friction and diffusion in dusty plasmas xxviii E004o D'YACHKOVL. Charging of a small dust grain in collisional plasmas E005o YAROSHENKOV. Role of the ion wake effect on stability of plasma crystals EOO60 BYSTRENKOO. Structure of strongly coupled plasmas in quasi-two- dimensional confinement. A Monte Carlo study E007o HONG-YUCHU Plasma bubbles in dusty plasma liquids EOO80 BINGHAM R. Quantum plasmas E009o SAMSONOVD. Shock waves in a complex (dusty) plasma New aspects on plasma wave and instability phenomena — EOlOo HATAKEYAMAR. flow shear, polarizatoin reversal, and pair ions Nonlinear dynamics of flute modes and self-organization E012o PAVLENKOV. phenomena in turbulent magnetized plasma E013p DENYSENKO I. Ion drag on dust grains in electronegative plasmas E014p SAMARIANA. Critical exponents for structural phase transitions in a complex plasma E017p KRAVCHENKOO. Dynamics of dust clouds in plasmas E020p MURTAZAG. A novel aspect of dust in plasma E022p FLORKOA. Electrical and optical oscillations in the front of premixed flame of zirconium E023p GHORBANALILU M. Calculation of the dielectric tensor elements of microwave produced plasma in the presence of a strong magnetic field

XXIX E029p BORAM.P. Radiation instability in an optically thin, expanding dusty plasma E030p YU-HSUAN HUANG Persistence of structural order in 2D dusty Coulomb liquids E031p IVANOVA. The effect of a longitudinal magnetic field on the plasma; dust structures in strata of glow discharge E032p OSTRIKOVK. The electron energy distribution in a dusty plasma E033p SEROZHKINY. Opportunity of exploration of a motion dusty component with help of laser heterodyne receiver of scattered radiation E034p KARASEVV. Dusty structures in strata of glow discharge in magnetic field E035p KOURAKISI. Nonlinear dust charge fluctuation in dusty (complex) plasma: a Van der Pol- Mathicu model equation E036p KOURAKISL Charge polarization (dressed electostatic interaction) effects in dusty (complex) crystals E038p MARENKOVV. Statistical cell approach to heterogeneous plasma system El lip ANTONOVAT. Spectroscopic investigation of 3D plasma clusters environment E114p GERASYMOVO. Transport in granular conductors E115p BYSTRENKOT. Computer simulations of the grain charge fluctuations in dusty plasmas E117p OGAWAT. Structure and melting of spherical Coulomb and Yukawa clusters: simulation and theory

XXX E121p ADAMOVICHX. Estimation of dusty plasma parameters from measurements of characteristic frequency of macroparticle oscillation E122p ADAMOVICHX. Examination of equations of state for quasi- two- dimensional dissipative systems with Yukawa interaction E123p CHIA-LING CHAN Visco-elasticity in a sheared Coulomb liquid E124p VAULINAO. Electrostatic plasma oscillations and the kinetic energy of a charged macroparticle in weakly ionized plasma E125p ANTIPOVS. Dynamic pnenomena in cryogenic dc discharge dusty plasmas E126p ELIASSONB. Electromagnetic effects on thermal instabilities in nonuniform dusty tokamak edges E127p SHUKLAP.-K. Condensation instability modes in dusty space and laboratory plasmas E128p DRANZHEVSKI I. Transport of macroparticles in dissipative two-dimensional Yukawa systems E129p KRAVCHENKOO. Dynamics of dust particles in radio frequency discharges E134p KOJIMAC. Complex plasma experiment in cryogenic environment E135p TOTSUJIH. Critical phenomena in dusty plasmas modeled by Yukawa system E136p SAKANAKAP. Nonlinear phenomena in four component dusty plasma with charge fluctuation xxxi E140p SHAFIQM. Test charge response for a dusty plasma with size distribution and charging dynamics E141p BINGHAMR. A quasi-particle approach to modulational instabilities driven by broadband turbulence in plasmas E143p FLORKOA. Plasma characteristics in the front of a laminar diffusion two-phase flame of iron E145p VISHNYAKOVV. Displacement of ionization equilibrium in the thermal plasma with electric current E146p DENYSENKOI. Properties of rf complex plasmas E147p MOMOTA.I. Grain screening in semi- bounded plasmas E148p SAMARIANA. Two-particle system in a plasma sheath E149p SAMARIANA. Deposition of Coulomb clusters: control and stability E150p KRETSCHMERM. New measurements of the force distribution inside the 'void' of a complex plasma in microgravity E151p MONDALK.K. Electrostatic waves in a magnetized dusty plasma in presence of dust streaming E152p VISHNYAKOVV. Electron and ion number densities in the space-charge layer in thermal plasma E153p VISHNYAKOVV. Floating potential of the thermal plasma-metal contact

xxxu UA061409 IPOOl

FUSION AND THE COSMOS Hans Wilhelmsson

Fusion reactions were suggested to be responsible for the power generation in the sun as early as 1920 by A.5. Eddington, but it was not until 1987 that the real proof of solar fusion was given by refined neutrino observations (M. Koshiba NP 2002). Examples are now accumulating to support the decisive role of fusion in the entire universe. Black holes at very remote distances are estimated to consist of crashed nuclear matter of enormous average densities of the order of the intrinsic density of the nuclear particles. It has even been suggested that the nucleons themselves could be regarded, as tiny black holes. New and refined techniques of astronomical observations, like neutrino and X-ray measurements, as well as gravitational lensing techniques, have meant a revolution for observing the cosmos. Moreover, the new results have been important for a deeper understanding of the elementary particles and for the reactions between the particles, e.g. the fusion reactions. The phenomena occurring in the cosmos are intimately related to what occurs in magnetically confined plasma experiments carried out in laboratories on Earth. Ultrahigh power laser beams can, on the other hand, be used to simulate astrophysical conditions in the laboratory (white dwarfs, Bose-Eintein condensation). The aim of the present discussion goes, however, further than to compare the presence of fusion plasmas in the cosmos and in the laboratory. The essence of what is new and possibly of profound interest is related to the fact that similar concepts can be used and developed for unified analysis of the dynamic behaviour of small scale (particles or laboratory hot fusion plasmas) and large scale (space or cosmic) phenomena. Such an approach is based on an in creased insight into nonlinear science, i.e. the interplay between classical physics manipulations and new experiences from the analyses (including computer simulations) of nonlinear partial differential equations. In the analyses, the coefficients defining the ML diffusion are determined uniquely by physical conditions and for the case of the expansion of the universe by the observation of the Hubble law (E. Hubble 1929). We account for the possibility that the universe could have a finite life-time (even if counted in billions of years) By analysis of a NL PDE (nonlinear partial differential equation) we succeed in proving that the crucial value of an exponent is related linearly to the Hubble constant. It is recognized that the scale-length that we use as a measure of the universal expansion is equivalent to the Einstein radius of curvature. The possibilities of an open or closed universe as well as an oscillating universe, or cosmic pendulum, are also noticed. In our description we have excluded quantum effects. Could we renormalize the theory and include them in our constants? The accompanying changes in the coefficients may be very small but could nevertheless have drastic effects on the behaviour of the solutions. Characteristic features of solutions in the form of regular symmetric patterns, such as found e.g. in chemistry and biology, and also noticed in laboratory hot fusion plasmas, have recently been seen in very remote clusters of galaxies, billions of years away from us. Such patterns seem to be in favour of the large scale NL PDE view here adopted for describing the evolution of the universe. There is a lot of conceptual thinking going on as concerns the most fundamental aspects of fields and matter in the universe. Could a general field be envisaged and used to describe everything, so that particles could be entirely deleted or regarded simply as singularities of extremely high field concentrations? Or could they be regarded as vibrating strings in a multidimensional space. Could the principle of holography (D.Gabor, N.P. 1971) be considered as part of a general string theory to support the attempts of introducing gravitational quantum effects and explain e.g. radiation from black holes? The human brain has at the same time been suggested to operate as a hologram, capable of reconstructing patterns of memory. Could these matters be coupled to reconstruct the memory of the universe and exploit the early phases of the Big Bang? Recent References Wilhelmsson H. Fusion, a voyage through the plasma universe. Bristol. Philadelphia: IOP Publ. 2000 Wilhelmsson H., Lazzaro E. Reaction-diffusion problems in the physics of hot plasmas. Bristol, Philadelphia; IOP Publ. 2001 Wilhelmsson H. Gravitational contraction and fusion plasma burn. Universal Expansion and the Hubble Law. Physica Scripts, vol .66, p. 395 2002 Wilhelmsson H. Fusion and the cosmos. Condensed Matter Physics, vol. 7, JV° 3 (39) pp.661-671,2004 Wilhelmsson H. AlfVen waves. Encyclopedia of Nonlinear Science. New York and London Routledge, pp 5-7,2005. Further Reading Wilhelmsson H. Fusion and the cosmos. A fabulous voyage through the universe. Kiev, Poltava: Kiev-University Press, 343 p. 2005 IP004 UA061410

Electron heating by nonlinear whistler waves

R.L. Stenzel,

Department of Physics and Astronomy, UCLA, Los Angeles, CA 90095

The physics of electron heating by whistler waves with rf magnetic fields exceeding the ambient dc magnetic field has been investigated experimentally. Such nonlinear waves are excited with magnetic loop antennas in a high electron-beta plasma. In one half cycle of the rf field, a field-reversed configuration (FRC) is formed. Its magnetic null points prevent propagation in the whistler mode and the stored magnetic energy is dissipated and produces hot electrons. In the opposite polarity the magnetic energy propagates as a nonlinear whistler wave and convects the magnetic energy without significant electron heating. From three- dimensional space and time resolved measurements the tilting and precession of the relaxing FRC current ring is obtained. It is shown that a tilted FRC has two pairs of radial and spiral null points and an open separatrix surface. The ramifications on 3D reconnection and heat transport are under investigation. IPOOS UA061411

Progress in the theory of anomalous transport in tokamaks, drift waves and nonlinear structures

Jan Weiland

Chalmers University of Technology and EURATOM-VR Association 41296 Gdteborg, Sweden

The field of anomalous transport in tokamaks has developed very strongly during recent years. In particular the theory of zonal flows has lead to a new "paradigm" for transport. In the new paradigm gyro-fluid models, with smaller growth-rate, may give more transport than a reactive fluid model with larger growth-rate. The old and new paradigms will be reviewed and recent results relating old and new paradigms discussed.. Zonal flows will be studied both in fluid and kinetic descriptions and the results related to the those of nonlinear gyrokinetic simulations. In particular the recent gyrokinetic results from Princeton, including the parallel nonlinearity will be discussed and related to results from our reactive fluid model. The relation between the excitation of zonal flows and the fluid closure problem will also be considered. These have been considered as the two main candidates for explaining the discrepancy between gyro-fluid and gyro-kinetic results in the Cyclone work. We have found that these aspects are closely related. Fluid closure problems will be discussed in general and in particular related to pinch fluxes. In particular the particle pinch is interesting due to its ITER relevance. Thus particle pinches will be discussed in different descriptions. A new observation is that there, is a mutual influence between particle pinches and rotation. This is relevant for triggering internal transport barriers. The modenumber dependence of transport is also relevant for triggering internal transport barriers. This has been accounted for by using a correlation length which depends on different parameters like temperature ratio, magnetic q, magnetic shear and elongation. IP006 UA061412

Study on Magnetic Configuration to Enhance Energy Confinement and High Beta Regime in the Large Helical Device

H.Yamada for LHD Experimental Group

National Institute for Fusion Science Toki, Gifu 509-5292, Japan •

The Large Helical Device has extended the parameter regimes of net-current free plasmas and revealed new physics. LHD has major and minor radii of 3.9 m and 0.65m, and heating capability of 20 MW. The superconducting coils generate the heliotron magnetic field of 3 T. Enhancement of energy confinement and high beta due to control of magnetic configuration is highlighted. Optimization of magnetic configuration in LHD has been wiping out matters of concern we had. In particular, suppression of anomalous transport correlated with neoclassical reduction has been suggested. UA061413 IP007

Structure and Transfer Phenomena in Dusty Plasma Liquid

Oleg F. Petrov

Institute for High Energy Densities, Russian Academy of Sciences, hhorskaya 13/19, Moscow, Russia

The problems associated with the transport phenomena in dissipative systems of interacting particles are of significant interest in various fields of science and technology (hydrodynamics, plasma physics, medical industry, physics of polymers). The main problem involved in studies of such systems is associated with the absence of an analytical theory of liquid that could explain its thermodynamic properties, give the equation of state, describe heat and mass transfer, and so on. Unlike real liquids, laboratory dusty plasma is a good model for studying the properties of nonideal systems. This plasma is a partly ionized gas with charged particles of the dispersed phase (~ 1-10 um in size), which may be recorded by a video camera; this enables one to investigate the processes of heat and mass transfer on the kinetic level. Results are given of experimental investigation of three-particle correlation for liquid plasma-dust structures formed in the electrode layer of a capacitive rf discharge. The obtained three-particle correlation functions for experimental and numerical data are analyzed and compared with the superposition approximation. The forming of clusters of macroparticles in plasma-dust systems being analyzed is revealed. The experiments in heat transfer were performed in plasma of a capacitive radio-frequency (rf) discharge in argon (P « 20 Pa) with particles 3 to 5 nm in diameter. The first time heat-transfer coefficients for liquid dust structures in plasma were measured. Results of experimental investigation of the viscosity of a dust-plasma liquid were obtained. A uniform flow of a jet of a dust-plasma liquid was experimentally realized, and the results of analysis of the obtained data made it possible to estimate the coefficient of dynamic viscosity of a dust-plasma liquid. The temperature dependence of measured coefficients agrees qualitatively with the results of analysis based on the constancy of relations between the basic transfer coefficients (the coefficients of diffusion D, thermal conductivity %, and viscosity r)). The radial distribution functions of quasiliquid dusty plasma in rf discharge has been obtained from videotape recordings of experimental object. With the help of special procedure the parameters of Debye potential between dust particles have been estimated. The calculations of radial distribution functions of dusty plasma with Debye potential with these parameters have been made using hypernetted chain integral equation. The results are in a good agreement with experiment at low coupling parameters. The agreement becomes worse while the coupling parameter increases. IP008 UA061414

Recent Development of Research on Magnetic Reconnection and Magnetic Self-organization in Laboratory and Space Astrophysical Plasmas

Masaaki Yamada

Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543, USA

Abstract

Magnetic self-organization plays an important role in a wide range of plasma phenomena in the universe, from laboratory plasmas to the magnetosphere, the solar corona, and to me tenuous interstellar and intergalactic medium. Magnetic reconnection, a topological rearrangement of magnetic field lines, is a key for the self-organization processes in plasmas. During magnetic reconnection a conversion of magnetic energy to plasma kinetic energy occurs by way of acceleration or heating of plasma particles. Magnetic reconnection is seen in the evolution of solar flares, in the dynamics of the earth's magnetosphere, and in the formation process of . It also occurs as one of the most important self-organization processes in fusion research plasmas and often plays a key role in determining the confinement properties of hot plasmas. One of the most important questions is why reconnection occurs much faster than predicted by the classical MHD theory. In the past several years, significant advances in understanding the physics of magnetic reconnection have been made through dedicated laboratory plasma experiments', observations from satellites2, and numerical simulations5. While magnetic reconnection has long been described through one-fluid MHD theory, extensive theoretical and experimental work over the past decade has revealed that two-fluid effects, the different behavior of ions and electrons, is important within the small, critical layer where reconnection occurs, such as is seen in the magnetosphere2. A key signature of two-fluid effects is an "out of reconnection plane" quadrupole component to the magnetic field resulting from the Hall effect in the reconnection layer. In the recent laboratory experiments, this quadrupole component has been identified, confirming the importance of two-fluid effects. These effects can alter the rate at which reconnection occurs in the magnetosphere, stellar flares and fusion plasmas. In particular, the MRX [Magnetic Reconnection Experiment] data4'5 has striking similarity to magnetospheric measurements, in which the quadrupole component has also been detected together with fluctuations. This talk reviews the recent significant results on reconnection in laboratory and space plasmas. Significant findings are; (1) The reconnection rate depends on merging angle of field lines [effects of guide field], (2) The profiles of the reconnection layer and reconnection rate change significantly as the plasma's collisionality is reduced, (3) Hall MHD effects have been measured in both laboratory and space plasmas, (4) Electrostatic and electromagnetic fluctuations and their spatial profiles were measured in the neutral sheet of both laboratory and space plasmas with notable similarities, and (5) A new scaling of reconnection resistivity was obtained from the MRX results with respect to the ratio of the electron mean free path to the scale length. Impact of the recent improved understanding of reconnection on terrestrial and space plasmas physics will be discussed. Also the recent progress in broader research on magnetic self-organization phenomena will be discussed. •In collaboration with H. Ji, S. Gerhardt, R. Kulsrud, Y. Ren, et al. Work supported by DOE, NASA, and NSF

1. M. Yamada, Earth Planets Space v.53, 539 (2001) and references there in 2. F. Mozer et al., Phys. Rev. Lett 89, 15002-1 (2002), T. D. Phan, et al., Nature 404 (6780), 848 (2000) 3. J. Birn, J. F. Drake, et al., J. Geophysical Research-Space Physics 106 (A3), 3715 (2001) 4. Y. Ren et al., Phys. Rev. Letts. V. 95 055003, (2005). M. Yamada et al, submitted to Phys. Plasmas 5. H. Ji et at., Phys. Rev. Letts. V.92, 115001 (2004) 6 UA061415 IP009

Industrial applications of atmospheric non-thermal plasma in environmental remediation

Mizuno Akira

Dept. EcologicalEngneertng, Toyohashi University of Technology Tempaku-cho, Toyohashi, Japan 441-8580

Application of non-thermal discharge-plasma for abatement of gaseous pollutants has been widely studied, and commercial products have been introduced recently. Indoor air cleaners have been mass-produced for removal of odor/allergen. Non-thermal plasma is also effective to decompose volatile organic compound(VOC) or cleaning of diesel exhaust. Combination of plasma and catalysts will further improve efficiency and selectivity. ITA11 UA061416

Anomalous helicon wave absorption and parametric excitation of electrostatic fluctuations in a helicon- produced plasma

M. Kramer1 and Yu.M. Aliev2

1[ Ruhr-Universita't Bochum, Experimentalphysik II, D-44780 Bochum, Germany 2LebedevPhysicalInstitute, Russian Academy of Sciences, 119991 Moscow, Russia

The nonlinear nature of the rf absorption in the pulsed helicon source HE-L (rp = 73 mm, lp - 19 3 1.1m, Prf< 1.5 kW./tf- = 13.56 MHz, xpulse = 2 - 6 ms, ne <, 2xlO m' , Te « 3 eV, Bo < 0.1 T, p = 0.2 - 1.0 Pa argon) was recently evidenced by the observation that the helicon wave damping increases with rf power, along with the level of short-scale electrostatic fluctuations excited in the helicon plasma [1]. By applying probe and microwave scattering correlation techniques the fluctuations were identified as ion-sound and Trivelpiece-Gould waves satisfying the frequency and wave number matching conditions for the parametric decay instability of the helicon pump wave. Furthermore, the growth rates and thresholds deduced from their temporal growth are in good agreement with theoretical predictions [1,2]. The close relationship between the rf absorption and the excitation of the fluctuations was investigated in more detail by performing time- and space-resolved measurements of the helicon wave field and the fluctuation spectra.

[1] B. Lorenz, M Kramer, V.L. Selenin and Yu.M. Aliev, Plasma Sources Sci. Technol. 14, 623 (2005). [2] Yu.M. Aliev and M. Kramer, Phys. Plasmas 12,072305 (2005). UA061417 ITA12

Particle-in-Cell Framework for Plasma Physics Simulations

Viktor K. Decyk

Department of Physics and Astronomy, UCLA Los Angeles, California, 90095-1547, USA

The UCLA Parallel PIC Framework (UPIC) is being developed to provide trusted components for the rapid construction of new, parallel Particle-in-Cell (PIC) codes [1]. The Framework uses object- oriented ideas in Fortran95, and is designed to provide support for various kinds of PIC codes on various kinds of hardware, Above all, it is designed to hide the complexities of parallel processing. The Framework separates communications from physics. Particle managers guarantee that particles are on the correct processor. Field managers accumulate and replicate guard cells as needed. Partition managers move field quantities around to provide dynamic load balancing. Although these are complex and make use of the Message-Passing Interface (MPI), they can be used as a black box by physicists. The physics part of the Framework provide procedures to deposit charge and current, solve electromagnetic field equations. These procedures do not have any MPI calls and can be easily modified by scientists. The Framework is designed to adapt to different programming styles. The lowest layer contains highly optimized Fortran77 routines. Although they are complex to use, they can be used directly in a traditional Fortran77 or C style procedural physics program. For example, the low level communications subroutines (PLIB) have been used in gyrokinetic simulations in the fusion program and in space simulations of reconnect ion. Three other programming styles are supported. They differ in how much of the computational details are hidden from the user. First, a Fortran95 wrapper layer simplifies the use of the low level procedures and provides dynamic memory, and can be used in a more sophisticated procedural program. A layer using helper objects provides more encapsulation. These helper objects hide from the user complex data layouts, but the data itself is still kept in traditional Fortran95 arrays. Finally, a full object-oriented style is available which encapsulates large blocks of code and is useful when the user does not intend to change much of the code. Design patterns are used in organizing the interactions of objects, which make use of the helper objects internally. A number of sample main programs are being developed for each of these styles. Currently, an electrostatic and a fully electromagnetic main code is nearly complete. A Darwin main code is being planned. The Framework is currently being used in a number of new codes. One such code is QuickPIC, a quasi- static code for studying plasma-based accelerators [2]. Another is QPIC, a Quantum PIC code, which uses a semi-classical scheme based in integrating classical Feynmann paths [3]. In a new code to model ion engines for NASA, the particle part of the Framework will be used along with an entirely different set of field solvers provided by a different code.

References [1] V. K. Decyk and C. D. Norton, "UCLA Parallel PIC Framework," Comp. Physics. Comm. 164, 80 (2004). [2] C. Huang, V. K. Decyk, C. Ren, M. Zhou, W. B. Mori, J. H. Cooley, T. M. Antonsen, and T. Katsouleas, "QuickPIC, A highly efficient particle-in-cell code for modeling wakefield acceleration in plasmas," submitted to J. Computational Physics, 2005. [3] J. Tonge, D. E. Dauger, and V. K. Decyk, "Two-dimensional semiclassical Particle-in-Cell code for simulation of quantum plasmas," Computer Phys. Comm. 164,279 (2004) ITA21 UA061418

Nonlinear effects in inductively coupled plasmas A. Smolyakov

Department of Physics and Engineering Physics University of Saskatchewan 116 Science Place, Saskatoon SK, S7N 5E2 CANADA and Institute for Nuclear Fusion Russian Research Center "Kurchatov Institute" Kurchatov Sq. 1 Moscow 123182, RUSSIA

Inductive rf discharges or inductively coupled plasmas (ICP) has been widely used as effective plasma sources in many industrial applications. One of the recent ICP developments is a trend toward the lower operation frequency. Application of low frequencies reduces capacitive coupling and transmission line effects and leads to simpler and lower cost rf power sources and matching circuits. There are two important characteristic features of the ICP operating at low frequency: anomalous (non-collisional) heating and nonlinear effects. Many ICP operate in the low-pressure regimes (with neutral gas pressure 1-10 mTorr). For a typical electron temperature of few eV the electron-neutral collision frequency v is small, v < (0, and electrons in such a discharge are weakly collisionai. In absence of collisions, the collisionless wave particle interaction (Landau damping) becomes the main mechanism of the wave absorption and plasma heating. When the particle thermal velocity becomes comparable to the effective wave phase velocity, the resonant wave-particle interaction leads to the wave damping and energy absorption (anomalous skin effect [1, 2]). Note that typically the ICP operate in the sub-critical waveguide regime and the electromagnetic wave is evanescent. The regime of the anomalous skin effect characterized by strong spatial dispersion of plasma conductivity is often referred to as nonlocal regime. Operation of inductively coupled plasma (ICP) discharges at low driving frequency in the nonlocal regime leads to increased values of the rf magnetic field. In such conditions electron motion is strongly affected by nonlinear rf Lorentz force in the ICP skin layer. The nonlinear harmonics of the electrostatic potential and electric current are generated [3] as a result of the action of the Lorentz force that in general has both, potential and solenoidal parts. In ICP, the time averaged Lorentz force is the main component of the ponderomotive force that also affects the plasma density distribution in the ICP skin layer. The experimental data [3] have shown that the value of the ponderomotive force is substantially reduced compared to that given by the classical expression (Miller force [4]). We show that this discrepancy is a result of nonlocal effects due to electron thermal motion in the anomalous skin effect regime. A new expression for the ponderomotive force in the nonlocal regime has been derived and found to be in reasonable agreement with experimental data [5],

REFERENCES

1. RSAVelbel, Phys. Fluids 10,741 (1970). 2. I.D. Kaganovich, IEEE Transactions on Plasma Science, in press, 2006. 3. V.A. Godyak, R.B. Piejak, B,M. Alexandrovich, Phys. Rev. Lett. 83, 1610 (1999). 4. EV. Gaponov and M.E. Miller, Sov. Phys. JETP 25,952 (1958). 5. A. Smolyakov, V. Godyak, and Y. Tyshetskiy, Phys. Plasmas 8,3857 (2001).

10 UA061419 ITA22

Particle Diffusion in External Field of Random Langmuir Waves V. Zasenko

Bogolyubov Institute for Theoretical Physics 03143 Kiev, Ukraine

Particle transport in turbulent fields is one of fundamental and most complex problems in plasma physics. To clarify the methodology of turbulent transport treatment a self-consistent particle-field description is reduced to a problem of transport in prescribed external random field. More specific, the particle diffusion in velocity space undergoing the external field of Langmuir waves with given k -spectrum is considered. The numerical simulation of particle motion in such external field was fulfilled. Our aim is to recover the charac- teristics of particle diffusion, obtained in the numerical experiment, from a microscopic approach without using free parameters. It was necessary to determine the most important effects which should be taken into account in analytical description when the intensity of the turbulent field is increased or its spectrum becomes narrow, so the conditions of validity of the quasilinear theory are violated. For small field intensity and wide spectrum (small Kubo numbers) the solution of the Fokker-Planck equation for the distribution function, well known in the quasilinear theory, gives good agreement with results of the numerical experiment. For moderate Kubo numbers the evolution of velocity dispersion shows a substantial jump due to ballistic regime in the very beginning that is changed for oscillations caused by particle trapping by waves in the intermediate stage, and later for diffusion. The generalization of the Fokker-Planck equation for moderate Kubo numbers is proposed; the diffusion coefficient in this case is dependent not only on velocity but time as well. Such description does not imply the averaging over field decorrelation time. The numerical solution of the generalized equation recovers the results of simulation in details. The analytical approximation for such solution is also given. It is interesting that obtained solutions can reproduce, to some extend, the effect of particle trapping. The influence of the initial broadening of the distribution function on its asymptotic behavior is discussed. The correct description of the early stage of a distribution function evolution is important for determination of the stationary state in a self-consistent approach which results from a balance between an increment of instability and a decrement due to the fast initial spread of particles in velocity space.

11 UA061420 ITA23

Development of a Size-Controllable Pellet Injector for Ablation Studies

I.Rego1, K.N.Sato2, K.Goto1, D.Thang2, M.Sakamoto2, TRIAM Exp.Group2

'interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Japan 2Research Institute for Applied Mechanics, Kyushu University, Japan

Abstract A pellet injector of new type with precisely and continuously controllable system of pellet size is being developed. This has a unique mechanics and structure of producing a frozen pellet in extremely low temperature region. Keywords: Pellet injection, Ablation, Size variable injector. PACS: 52.40.Hf

From the viewpoint of performance of nuclear fusion plasmas, pellet injection experiments have been actively carried out in many toroidal devices in the sense of controlling density profile, obtaining high density or improved confinement, and diagnostic purposes. In order to have a common measure of pellet ablation, the regression study has been performed as an international cooperation activity, obtaining "IPAD" (International Pellet Ablation Database) [1]. However, these are an empirical scaling, and the mechanism of pellet ablation still remains to be studied. According to the code calculations based on a typical pellet ablation model (e. g., so-called the neutral gas shielding model), it is understood that the penetration depth into plasma is always quite sensitive to the pellet size. If the pellet size is too large, the pellet passes through the plasma, and if it is too small, it is trapped at the plasma surface. Also, an effective or suitable range of the pellet size for a certain plasma is generally very narrow, and this range largely varies depending on each plasma size and plasma parameters. Thus, the precise controllability of the pellet size, especially the size controllability with continuously variable system will be quite effective in order to carry out the detailed studies on pellet ablation and associated phenomena. A pellet injector of new type with precisely and continuously controllable system of pellet size is being developed. This has a unique mechanics and structure of producing a frozen pellet in extremely low temperature region. The central part of the pellet injector with continuously size-variable system is given in Fig.l. In the device presently developed in this research, we will precisely adjust the length of the cylindrical pellet ( 1 .Omm) from0. 5 to 3 mm by using the special "length restriction rod".

REFERENCE

[1] L.R.Baylor et al.: An International Pellet Ablation Database, Nucl. Fusion 37 (1997) 445

12 UA061421

Nonlinear Dynamics of Incoherent Superstrong

Radiation in a Plasma

Nodar L, Tsintsadze and Levan N. Tsintsadze Department of Plasma Physics, Tbilisi State University, Tbilisi Georgia

Abstract

As is well known, the interaction of strong electromagnetic (EM) radiation with plasmas leads to several kinds of instabilities and the initially coherent spectrum may eventually broaden, and naturally for ultrashort pulses the initial bandwidth is increasingly broad. Taking into account this fact, we present a new concept of nonlinear dynamics of the incoherent superstrong radiation (high-power, short pulse lasers with intensities up to 1021W-cm "2, in which the photon density is of the order of 1030 cm "3, non-thermal equilibrium cosmic field radiation, etc.) in plasmas. Recently we have disclosed a new mechanism of the establishment of equilibrium between a photon and a dense photon bunch through the exchange of longitudinal photons (photonikos) ( L.N.Tsintsadze, Phys. Plasmas 11, 855 (2004)). Based on this mechanism of the "Compton" scattering type photonikos on a photon, we have generalized Wigner-Moyal equation of the dense photon gas, including the collision integral for the occupation number of photons. The collision integral involves two mechanisms of scattering: first, the photon passing through the wave packet absorbs and emits photonikos, and the second scattering process occurs by means of plasmas. In the geometric optics approximation the Wigner-Moyal- Tsintsadze equation reduces to the one particle Vlasov-Boltzmann-Tsintsadze equation of the photon gas. From this equation, which gives a microscopic description of the photon gas, we derive a set of fluid equations. We develop thermodynamics of the photon gas, and show that the production of entropy of the photons is due to the variations of both the plasma density and the shape of wave packet. In order to discuss the dissipative processes in a slightly inhomogeneous photon gas the transport coefficients are calculated. We study a several kinds of instabilities in the photon - plasma gas, taking into account the interactions between photonikos and plasmons. The generation of the photon vortex filaments in a plasma is also demonstrated. Within the framework of the newly derived hydrodynamic equations of photons, we consider the both analytically and numerically the formation of ID and 3D shock waves, mainly in the case when the variation of the plasma density can be neglected in comparison with the variation of the photon density. These investigations were of essential interest to explain some aspects of interactions of the strong and superstrong radiation with plasmas, such as in experiments modeling Supernova explosions, acceleration of particles, existence of high energy photons, etc.

13 A002o UA061422

Generation of Vortex Rings by Nonstationary Laser Wake Field

N.L.Tsintsadze1, G. Murtaza2and H.A. Shah3

/. Department of Physics, Tbilisi State University, Chavchavacke 3, Georgia 2. National Centre for Mathematics, G.C. University Lahore 54000, Pakistan 3. Department of Physics, G.C. University Lahore 54000, Pakistan

A new concept of generating quasistatic magnetic fields, vortex rings and electron jets in an isotropic homogeneous plasma is presented. The propagation of plasma waves, generated by a relativistically intense short pulse laser, is investigated by using the kinetic model and a novel non-potential, time dependant ponderomotive force is derived by obtaining a hydrodynamic equation of motion. This force can in turn generate quasistatic magnetic fields, vortex rings and electron jets. It is also shown that the vortex rings can become a means for accelerating electrons, which are initially in equilibrium. The conservation of canonical momentum circulation and the frozen- in condition for the vorticity is discussed. The excitation of the vortex waves by the modulation of the amplitude of the plasma waves is considered. These vortex waves, which generate lower hybrid mode propagating across the generated magnetic field, are also investigated.

14 UA061423 A003o

Parametric Decay Instability Control In Inhomogeneous Plasma By The Pump Frequency Modulation

V.I. Arkhipenko8, E.Z. Gusakovb, V.A. Pisarev2, L.V. Simonchik\ B.O. Yakovlevb

"institute of Molecular and Atomic Physics NASB.pr. Nezalezhnastsi 70. 220072 Minsk, Belarus b loffe Institute RAS .Polytechnicheskaya 26, 124091 St.Petersburg, Russia

The pump phase modulation was discussed as a possible way of parametric decay instability (PDI) suppression starting from 60th. According to results of homogeneous plasma theory [1], it can serves as an effective method for parametric instability control. However the analysis carried out in inhomogeneous plasma model for very fast pump phase modulation have revealed high stability of convective amplification coefficient, which appeared to be non- sensitive to modulation [2]. In the present paper this prediction of [2] is confirmed experimentally, however it is shown that such stability holds only for the pump frequency modulation faster than the decay wave transient time in the interaction region. In the case of slower modulation, harmonic or stochastic, the (PDI) decay instability enhancement may take place instead. The experiment is carried out in the linear plasma device "Granil" [3]. The argon plasma is produced using the electron cyclotron discharge in a tube 2 cm in diameter and 100 cm long placed in a uniform magnetic field of 3 kG. The plasma is inhomogeneous both across and along the magnetic field nc = n^r, z). The maximum density is ne 12 3 2 « 10 cm" , electron temperature To « 2 eV and argon pressure 2 x 10" Torr. The Trivelpiece-Gould (TG) pump wave (fo =2480 MHz) is excited in the plasma with a waveguide. In vicinity of resonant point {T^{zS>y=T\t i.e., 2 1/2 2jtfo=(2nn(.e /m<;) ), where the electric field of the pump is maximal parametric decay instabilities 1 -> 1' + s associ- ated with stimulated back- and forward scattering are excited at the microwave power less than 20 mW. The influence of the pump wave frequency modulation (linear, harmonic and stochastic) on these instabilities is investigated. It is shown that the physical reason for the decay enhancement is provided by suppression of convective losses of the daughter wave from the decay region, drifting due to the pump frequency modulation. The effect of the harmonic pump frequency modulation on the PDI is investigated in wide modulation frequency region for 0.1 MHz V+ s. The ways to apply the found effects for control of Raman backscattering in ultra high power frequency chirped la- ser pulse experiment are discussed. REFERENCES

1. B. Valeo and C. Oberman, Phys.Rev.Letters 30,1035 (1973). 2. G. Laval, R. Pellat and D. Pesme, Phys. Rev. Letters 36,192 (1976). 3. V.I. Arkhipenko, V.N. Budnikov, I.A. Romanchuk et al., Sov. J. PlasmaPhys. 2,396 (1981).

15 UA061424 A004o

Nonlinear Fourier Stability Analysis Callebaut Dirk

University of Antwerp Physics Department University of Antwerp, B-2610Antwerp, Belgium Dirk. [email protected]

From the usual "horizontal" Fourier perturbation analysis one term is singled out, From this one the "vertical" Fourier series is constructed. Simple combinatorics allow then immediately the nonlinear analysis of several "vertical" series. B.g. for a cold plasma the sum of all firtst order amplitudes has to be less than 37% of the equilibrium density to have convergence. Taking into account the pressure decreases this limit. The method was applied to various plasma, hydrodynamical, MHD and gravitational configurations. An explanation is given for which cases the method is suitable or not.

16 UA061425 A005o

The charges acceleration due to parametric interaction with the ensemble of electrostatic waves of finite amplitude

N.S.Erokhin, V.N.Damgov and N.N.Zolnikova

Russia, 117997 Moscow, Profsouznaya Str.84/32, IKIRAS [email protected]

It is considered both analytically and numerically the charged particles acceleration due to the parametric interaction with an ensemble of electrostatic plasma waves of small but finite amplitudes. The temporal dynamics of charged particle in the potential wall of a separate electrostatic mode and effects of separatrix crossing are taken into account. It is taking into account the dependence of electrostatic modes phase velocity on their wavenumber to determine the mode ensemble parameters providing the successive charges trapping by waves with growing phase velocity and their following acceleration under the second order resonance interaction of particles and neighbouring wave harmonics. This interaction corresponds to the nonlinear oscillator pumping by periodic external force. The nonlinear wave mechanism of charge acceleration considered is of the great interest for problem of fast particles fluxes generation both in the space plasma and in the laboratory one, in particular, it may provides the preacceleration regime under the generation of high energy charge fluxes.

17 UA061426 A006o

ZONAL FLOW GENERATION BY MODULATIONAL INSTABILITY R.L. Dewar* and R.R Abdullatif

*Department of Theoretical Physics Research School of Physical Sciences & Engineering The Australian National University Canberra ACT0200, Australia E-mail: [email protected] Keywords: A. Fundamental Problems of Plasma Physics PACS: 52.35.Kt, 52.35.Mw

The term "zonal flow"ha s recently come to be much used in toroidal magnetic confinement plasma physics to refer to a mean poloidal flow with strong variation in minor radius. The sheared nature of this flow is thought to have the. strongly beneficial effect of reducing radial transport by suppressing turbulence, thus improving the confinement of heat required to achieve fusion conditions. The use of the same phrase "zonal flow"i n the context of both geophysics and magnetic plasma confinement is no coincidence, as the existence of strong analogies between these fields has become well recognized.. This paper gives a pedagogic review of the envelope formalism [1] for excitation of zonal flows by four wave interactions of plasma drift waves or Rossby waves, described equivalently by the Hasegawa-Mima (HM) equation or the barotropic vorticity equation, respectively. In the plasma case a modified form of the HM equation, which takes into account suppression of the magnetic- surface-averaged electron density response by a small amount of magnetic shear is also analyzed. Excitation of zonal mean flow by a modulated wave train is particularly strong in the modified HM case. A local dispersion relation for a coherent wave train is calculated by linearizing about a background mean flow and used to find the nonlinear frequency shift by inserting the nonlinearly excited mean flow. Using the generic nonlinear Schrodinger equation about a uniform carrier wave, the criterion for instability of small modulations of the wave train is found, as is the maximum growth rate and phase velocity of the modulations and zonal flows,i n both the modified and unmodified cases. This extends the result of Smolyakov et al. [2] to small-but-finite radial wavenumber q = Kx and agrees precisely with the mode-coupling calculation of Lashmore-Davies et al. [3] in the small-*? limit.

[1] S. Champeaux and P. H. Diamond, Phys. Letters A, 288,214, (2001) [2] A. I. Smolyakov, P. H. Diamond and V. I. Shevchenko, Phys. Plasmas, 7,1349, (2000) {3] C. N. Lashmore-Davies, D. R. McCarthy and A. Thyagaraja, Phys. Plasmas 12, 5121 (2001)

18 UA061427 A007o

Alfvenic Phenomena Triggered by Resonant Absorption in a Magnetized Plasma Morales G. J.

UCLA Physics and Astronomy Dept UCLA Los Angeles, CA 90095 USA [email protected]

A particle-in-cell code is used to investigate the long-time-scale nonlinear phenomena triggered by the resonant absorption of a high-power electromagnetic pulse propagating across the magnetic field in a plasma having a cross- field density gradient. The electromagnetic pulse has finite extent along the magnetic field and can be launched with O or X-mode polarization. This situation is of interest in ionospheric modification studies, basic laboratory experiments, RF heating applications and could lead to particle acceleration scenarios. As expected, at locations where the carrier frequency of the pulse matches a resonant layer (plasma frequency or upper-hybrid) strongly nonlinear processes are triggered. One such process consists of carving a density cavity having gradients oblique to the magnetic field.A t the edge of these gradients strong parallel electric fieldsdevelo p and generate fast electrons that stream axially out of the resonant region. The presence of the confinement magnetic field allows the formation of a collimated, field-aligned current pulse that induces a return current in the ambient plasma. The self-consistent response results in the radiation of dispersive shear Alfven waves of small transverse scale. The dependence of the current system on polarization and pulse power is investigated and the results are compared to on-going laboratory experiments [B. Van Compernolle et al., Geophys. Res. Lett. 32, L08101 (2005)]. Sponsored by USDOE.

19 UA061428 A008o

Structure and Dynamics of Current Sheets in 3D Magnetic Fields with the X Line and Manifestations of Two-Fluid Plasma Properties

A.G. Frank1, S.Yu. Bogdanov1, S.G. Bugrov1, G.V. Dreiden2, V.S. Markov1, and G.V. Ostrovskaya2

lA.M. Prokhorov Institute of General Physics of the Russian Academy of Sciences, Moscow, Russia 2A.F. loffe Physical-Technical Institute of the Russian Academy of Sciences, St.-Petersburg, Russia

Revealing basic physical processes governing the dynamics and structure of current sheets in the 3D magnetic configurations is of a great concern for the magnetic reconnection problem. It has been demonstrated experimentally that excitation of the electric current along the X line of the 3D magnetic field gives rise to the current sheet formation accompanied by plasma compression into the sheet. Formation of extended current sheets (the sheet width exceeds the thickness by a factor of 10-15) can take place in the presence of a strong guide field aligned with the X line. The electron density in the plasma sheet is usually much higher than that in the surrounding space, and a characteristic feature of the current-sheet plasma is a steep plasma-density profile in the direction perpendicular to the sheet surface. It was found that the distributions of the both electron density and current are rather sensitive to the magnetic field topology. We have observed the effect of progressive decrease of the plasma compression ratio in response to increasing guide field [1]. This effect has two basic manifestations: a decrease of the maximum plasma density, and an enlargement of the sheet thickness; it also displays a gradual transition to the behavior of uncompressible plasma. Based on the experimental data we advanced a concept that the deterioration of plasma compression into the sheet is due to enhancement of the guide field inside the sheet over its initial value, and to excitation of additional currents in the plane perpendicular to the X line and to the original current in the sheet []]. This concept is confirmed by the direct measurements of the magnetic field inside the sheet. The detailed analysis of spatial distributions of the plasma density allowed revealing another novel and important effect. We observe formation of plasma sheets, which assume an unusual asymmetric and tilted shape in the presence of the guide field aligned with the X line [2]. Such plasma sheets differ noticeably from the sheets formed in the 2D magnetic configurations, without the guide field. Jt was proposed that the sheet asymmetry is an evidence of the two-fluid plasma properties and excitation of the Hall currents in the plane perpendicular to the AT line [2]. Interaction of the Hall currents with the guide field produces additional dynamic effects, which result in deformation of plasma sheets. At the same time, the appearance of the Hall currents has nothing in common with the guide field, i.e. the Hall currents can be generated in the absence of the guide field. An analysis of typical plasma parameters suggests that the Hall currents should appear in the planar current sheets formed in the 2D magnetic field without the guide field. This suggestion is confirmed by direct magnetic measurements, which show a conversion of the initial 2D magnetic configuration to the 3D one due to excitation of the Hall currents Thus we present two novel phenomena related to the dynamics of magnetized plasma in the current sheets formed in the 3D magnetic fields with the X line.

ACKNOWLEDGMENTS

The work is supported in part by the Russian Foundation for Basic Research (Project No. 06-02-17011).

REFERENCES

1. A.G. Frank, S.Yu. Bogdanov, V.S. Markov et al., Phys. Plasmas 12,052316 (2005). 2. A.G. Frank, S.Yu. Bogdanov, G.V. Dreiden et al., Phys. tellers A 348,318-325 (2006).

20 UA061429 A009o

Kinetic theory of the stability of the inhomogeneous plasmas with shear flows. V.S. Mikhailenko, M.O. Azarenkov, D.V. Chibisov, K. N. Stepanov, V.V. Mikhailenko

Kharkov National University, 61108 Kharkov, Ukraine

The stability of a magnetized inhomogeneous plasma with transverse inhomogeneous electric field and inhomogeneous plasma with field-alignedshea r flow is analyzed by using a kinetic formalism. The perpendicular shear flowi s shown to be stabilizing. The transverse flow with homogeneous shear is not a source of the linear shear-flow-driven instabilities. The inhomogeneity of the flow shear is a source of the new mechanism of the resonant damping of waves across the magnetic field due to their interaction with ions, which is akin to the finite-beta resonance in the curved magnetic field. It is found that for a smooth profile of the flow velocity, drift and ion cyclotron waves are damped due to resonant interaction with ions. On the other hand drift and drift-cyclotron kinetic instabilities, modified by shear flow,ar e excited by inverse electron Landau damping. A renormalized nonlinear dispersion equation, which accounts for random scattering of ions in the presence of the inhomogeneous transverse shear flow,i s derived and applied to the determining of the saturation level of the instabilities in plasma with shear flows and turbulent ion heating rate. The renormalization accounts for the scattering of ions by the turbulent electric field in the presence of the inhomogeneous flow with inhomogeneous velocity shear. The turbulent scattering of ions across the shear flowtransport s the ions across the shear flow into the regions with a greater or smaller flow velocity. That leads to the additional enhanced scattering of ions along the shear flow, which is combined effect of the plasma turbulence and the shear flow. The field-aligned shear flow is shown to be destabilizing. The new ion cyclotron and drift-cyclotron instabilities of homogeneous and inhomogeneous plasma with shear flow along the magnetic field are discovered. The saturation levels of ion cyclotron instabilities and turbulent ion heating rates are presented. A review of in situ observations of processes associated with sheared flowsi s presented and details of complemen- tary laboratory experimental investigations are discussed.

REFERENCES

I. V.S. Mikhailenko, and V.V. Mikhailcnko Physics of Plasmas, 13,012108 (2006)

21 UA061430 AOlOo

Transport of relativistic electron beam in intense laser-plasma interaction Xian-Tu He

Institute of Applied Physics and Computational Mathematics P. O. Box 8009, Beijing 100088 [email protected]

Spontaneously magnetic fields generated in intense laser-plasma interaction are investigated by analytical derivation and 3D PIC simulation. The acceleration and the colliraation of relativistic electron beams in dense plasma under the action of ponderomotive force and spontaneously magnetic fieldsar e discussed analytically and numerically. It is shown that for the circularly polarized laser, the spot of electric current is of the cylindrical symmetry, both axially and azimuthally magnetic fields play an essential role in collimating electron beams with a small divergence angle. While for the linearly polarized laser, the spot of electric current is of elliptic structures, and azimuthal magnetic fields only produce a pinch effect with a much larger divergent angle, where the Weibel instability may cause filaments of electric current. As a result, the circularly polarized laser to serve for the study of laser accelerator, fast ignition and astrophysical application may be better than the linearly polarized laser.

22 UA061431 AOllo

Experimental and Analytical Approach on the Bursty Fluctuations in Toroidal and Linear Plasma Devices Noriyasu OHNO EcoTopia Science Institute, Nagoya University 464-8603, Japan

Recently, intermittent convective blobby plasma transport has been one of the most important issues in plasma physics, which could play an essential role for cross-field plasma transport. The blobby plasma transport has been recognized as common phenomena in various magnetically confined plasmas. We have systemically investigated bursty fluctuations of ion saturation currents associated with the intermittent convective transport in toroidal and linear plasma devices. These bursty signals were analyzed by latest signal analysis technique based on probability distribution function (p.d.f.) and complex Morlet mother wavelet transformation. These analysis can reveal that the p.d.f is strongly skewed at the peripheral region of plasma column, and the velocity distribution function of bursts (plasma blobs) is also positively skewed, which clearly indicates the plasma blobs propagates across the magnetic field toward the wall. Images taken by a fast-imaging camera also show that plasma blobs are peeled from the bulk plasma, and propagate outward with an azimuthal motion. The bursty fluctuations in toroidal plasma devices, including large fusion devices. JT-60U tokamak and LHP helical devices in Japan has been investigated by the author. Especially in the JT-60U, it is found that ELMs (edge localized mode) can propagate across the magnetic fields like the plasma blobs.

References: # N. Ohno, et al., "Visualization of Intermittent Blobby Plasma Transport in Attached and Detached Plasmas of the NAGDIS-II", Journal of Plasma and Fusion Research. 80 (2004) 275-276. #N. Ohno, V. P. Budaev et al., "Reconstruction of Velocity Distribution of Density Bursts by Wavelet Analysis in the Linear Divertor Simulator NAGDIS-II", Contrib. Plasma Phys. 1-3 (2004), 222-227. #F.B. Rosmej, R. Stamm, S. Fritzsche, H. Capes, M. Koubiti, Y. Marandet, V.S. Lisitsa, N. Ohno, et al., "Neutral helium line emission for edge plasma conditions", J. Nucl. Mater. 337-339(2005)1101-1105. #H. Miyoshi, N. Ohno, et al., "Intermittent Fluctuation Property of Edge Plasmas in JT-60U and LHD", 31st EPS Conference on Plasma Phys. London, 28 June - 2 My 2004 ECA Vol.28G, P-5.101 (2004).

23 UA061432 A012o

Collisionless Driven Reconnection In An Open System

Ritoku Horiuchia), Hiroaki Ohtania), Akihiro Ishizawaa) and Toseo Moritakab)

a)National Institute for Fusion Science, Toki 509-5292, Japan b) Department of Physics, Nagoya University, Nagoya 464-8602, Japan

Triggering mechanism of collisionless driven reconnection in an open system has been investigated by means of two-dimensional and three-dimensional particle simulations. For this purpose we have developed an electromagnetic particle simulation model for magnetic reconnection in an open system O^PASMO") where plasma inflow and outflow exist through the boundary. From two-dimensional simulation it is found that there are two causes of violation of frozen-in constraint. One is the anomalous resistivity generated by drift-kink instability (DKI, see Fig. 1)), and the other is the pressure tensor term originating from complex particle motion (meandering motion) around a neutral sheet. In driven case two- scale structure of current layer is generated due to meandering orbit effect. The Hall term effect is suppressed due to the gyroviscous cancellation in two-fluid MHD region, and thus the violation of ion frozen-in condition becomes significant inside the ion meandering region. The relationship between anomalous resistivity due to DKI and pressure tensor term has been clarified from three-dimensional simulation. Anomalous resistivity generated by DKI is the main cause of violation of electron frozen-in constraint, while pressure tensor term (meandering orbit effect) sustains reconnection electric field in the ion diffusion region.

Bz=1.0

Bz=H.O y t=947cuce

Fig. I Spatiotempora! structure of drift-kink instability where color map of magnetic field is illustrated.

REFERENCES

11] T. Moriiaka, R. Horiuchi, and H. Ohtani and A. Ishizawa, submit to J. Plasma Phys.,(2OO5). 121W. Pei, R. Horiuchi andT. Sato, Phys. Rev. Leu., Vol. 87, No. 23 (2001) 235003. |3] A. Ishizawa, R. Horiuchi, and H. Ohtani, Phys. Plasmas, Vol. 11, No. 7(2004), pp. 3579-3585. [4] A. Ishizawa and R. Horiuchi, Phys. Rev. Lett., Vol. 95, No. 4 (2005) 045003. [5] R. Horiuchi, H. Ohtani, and A. Ishizawa, Comp. Phys. Comm., Vol. 164, (2004), pp. 17-32. [6] R. Horiuchi, H. Ohtani, and A. Ishizawa, submit to J. Plasma Phys.,(2OO5).

24 UA061433 A014p

Cumulant expansions for solution of the quantum BBGKY hierarchy V.I. Gerasimenko* and V.O. Shtyk*

'Institute of Mathematics ofNAS of Ukraine 3 Tereshchenkivs'ka Stn, 01601 Kyiv-4, Ukraine

We construct a new representation, of a solution to the initial value problem to the quantum BBGKY hierarchy of equations as an expansion in terms of particle clusters whose evolution is described by the corresponding-order cumulant (semi-invariant) of the evolution operators of finitelyman y particle quantum systems. On the basis of cluster expansion of the evolution operators of finitely many particles quantum systems we give the classification of possible representations of solutions to the quantum BBGKY hierarchy in the case of Maxwell-Boltzmann statistics. For the initial data from the space of sequences of trace class operators the existence and uniqueness theorem is proved. We discuss the problems of the construction of solutions in the space of sequences of bounded operators. The stated cumulant nature of the solution expansion guarantee the compensation of divergent traces in each term for initial data from this space.

REFERENCES

1. Petrina D. Ya. Mathematical Foundations of Quantum Statistical Mechanics. Continuous Systems. - Amsterdam: Kiuwer, 1995. 2. Cercignani C, Gerasimenko VI, Petrina D.Ya. Many-panicle dynamics and kinetic equations. - Dordrecht: Kiuwer Akad. Publ.. 1997. -252 p.

25 UA061434 A023p

Jumps in current, shock waves and hysteresis phenomena in low- pressure gas D.C. discharge plasma.

P. F. Kurbatov

Institute of Laser Physics SB RAS, Novosibirsk 630090, Russia, E- mail: [email protected]. ru

The gas discharge description [1-3] originating at the interface between laser physics and plasma physics allows us to look with the exotic party at the processes and various phenomena going on in the self- sustained gas discharge plasma and discern the uniting element of all known types of the discharge. The solution of Pecarek's program [1,2] as a diffusion -plasma reaction theory or basis provides an understanding of the general concept of the phenomena and the discharge plasma in itself as a whole plasma organism. Similar approaches have been useful for describing early classical examples in biology, chemistry, and physics, among them localized structures in D.C. gas discharge systems [4]. They allow us with the exotic party to look at gas discharge physics and reveal the relationship of the phenomena in the gas discharge with classical and statistical mechanics and other aspects of physics. The use of diffuse ionization mechanism of the electron multiplication allows us to describe adequately and

completely the phenomena observed in the gas discharge with help of the potential U(Ne,E) = U{Ne,p{E),q(E)}, called ionization potential [ 1,2], The ionization potential is closely associated with plasma reactions. The latter has the form of a catastrophe A& and the self- consistent electric field E plays the role of a control parameter. Here, p and q

are coordinates in a generalized three- dimensional (Ne,p,q) space in which the structure of the ionization potential

U(Ne,E) is reduced to a canonical form (after Thorn) [1,2]. The character of phase states of the gas discharge, the characteristic points in which they appear and their structural stability are uniquely determined by the ionization potential U(Ne,E) and the behavior of the path (p{E),q(E)) (associated with a V-A characteristic) at the ionization equilibrium surface defined as

v *> 2 - K[Ne, p(E),q{E)) - 0. If the path (p(E),q(E)) intersects twice the line of "wrinkle" of the equilibrium surface at the twice-degenerate critical points Ef and £| (at condition that

0,tf (#£ ) < o) or (p/fi,^) >^(^2) > O.tff^f) < )). current jumps and hysteresis phenomena take place in a gas discharge [2,3,5]. The purpose of this work is to investigate of these plasma regimes in more detail and is to show how they are propagated through the plasma of a gas discharge and what kind of the spatio- temporal forms of current jumps occur. Current jumps and hysteresis are considered in more detail. It is shown that these current jumps are propagated through a self- sustained low-pressure gas D.C. discharge as diffuse ionization shock waves. The waves have the same diffuse ionization mechanism of formation as striations [2,3] and they are typical shock waves in nature [6]. Such waves are similar other shock ones, and their spatio-temporal structure and other characteristic are studied. At the same time, they have their own peculiar features. We analyze in greater detail the conditions of formation of diffuse ionization shock waves and their special features. References [1] Kurbatov, P J. 2006 J. Plasma Phys. 72(1), 1-17. [2] Kurbatov, P. F. 2001 Modem view on physics of low- pressure gas D.C. discharge (Novosibirsk: Institute of Laser Physics SB RAS) Preprint 3 - 2001 (in Russian) [3] Kurbatov, P. F. 2005 in Proceedings (of the Fourth International Symposium 'Modem Problems of Laser Physics' (Novosibirsk, Russia, August 22-27, 2004, ed. S. Bagayev)). Novosibirsk, 263-276. [4] Gurevich, E. L,, Liehr, A. W., Amiranashvily, Sh. and Purwings, H.-G. 2004 Phys. Rev. E 69,036211 (1-7). [5] Knorr, G. 1984 Plasma Phys. Contr. Fusion 26,949-953. [6] Whitham,G. B. 1974 Linear and nonlinear waves. New York, London, Sydney, Toronto: John Wiley & Sons.

26 UA061435 A030p

Bifurcation of the circular polarisation of harmonics generated in plasmas by pumping field V.P.Silin and P.V.Silin

P.N.Lebedev Physical Institute ofRAS, Leninskypr. 53,119991 Moscow, Russia

The circular harmonic polarization at the low intensity of a monochromatic pumping field is the limit of zero intensity of harmonics generated by bremsstrahlung of plasma electrons during their oscillations in pumping field and collisions with ions. The situation is changing with the growing of the pump field intensity. We have bifurcation of the circular polarization of harmonics at some threshold intensities which are different for different harmonics. This nonlinear phenomenon repeats the circular polarization of harmonics as their zero limit but in addition we demonstrate the realization of the completely circular polarized harmonics with nonzero intensity. The last is a function of the pump field intensity and the circularpolarisatin degree of the pump field.

27 (IIIII A031p UA061436

Propagation of large amplitude ion acoustic waves in an electron beam plasma system consisting of two temperature electrons and warm ions

A. Esfandyari-Kalejahi"'1 and M. Mehdipoor3*2 " Azarbaijan University of Tarbiat Moallem, Faculty of Science, Department of physics, 51745-406, Tabriz. Iran. Email: ' [email protected], 2 [email protected],

Propagation of nonlinear ion-acoustic waves in an electron beam plasma system consisting of two temperature electrons (hot/cold) and warm ions are investigated by using pseudopotential method. The effects of hot1 to cold electron temperature/density ratio (filv) and beam to ion density ratio (ft) are studied numerically. The conditions for the existence of large amplitude ion-acoustic waves in terms of these parameters are represented. It is remarked that the maximum Mach number M increases (decreases) as /? (v) increases for fixed a and//. Also M increases (decreases) as /?(//) increases for fixedtrandv. In addition, it is seen that the amplitude of compressive solitons increases as ju rises to a given limit, after which the compressive solitons do not occur, provided other parameters remain fixed. On the other hand, enhancing v up to a given limit leads to an increase in the amplitude of compressive solitons. However, if v rises more than this limit amplitude of solitons will decrease, since very low and very high values of v have the same physical meaning.

References [1] Y. N. Nejoh and H. Sanuki, NIFS. 382 (1995). [2] Y. N. Nejoh, J. Plasma Physics, vol. 57, part 4 (1997). [3] A. A. Mamun, Phys. Rev. E. vol. 55,2(1997). [4] P. Chatterjee and R. Roychoudhury, Can. J. Phys. 75,337-343 (1997).

28 UA061437 A034p

THE OBSERVATION OF LANDAU DAMPING AND DIOCOTRON ECHOES IN A PURE ELECTRON PLASMA.

I.K. Tarasov, M.I. Tarasov*, E.D. Volkov

NSC Kharkov Institute of Physics and Technology, Kharkov 611 OS, Ukraine *Karazin Kharkov National University, Kharkov, 61108, Ukraine, e-mail:[email protected]

The process of the diocotron instability development is still one of the most interesting phenomena in non-neutral plasma physics. Diocotron waves were observed experimentally and described theoretically in many fundamental works. Special interest represents the process of diocotron wave non- dissipative damping (Landau damping). The possibility and the main features of such damping have been considered by Briggs [1]. Later it was studied experimentally and described by numerical solution of the two-dimensional incompressible fluid equations [2]. This paper is dedicated to the additional experimental study of the diocotron wave Landau damping, during and after the main electron beam injection pulse. Also, it contains some data on injection of additional electron beam. The main experiment was provided with cylindrical drift chamber, hollow cylindrical injected electron beam and axially symmetrical configuration of longitudinal magnetic field. During the main electron beam injection pulse the wave process may be divided into two periodically repeating stages. The first stage is an amplification of the diocotrone wave by the particles that are moving in azimuthal direction. The second stage is the damping of diocotron wave on these particles (Landau damping). Observations were made after the main beam injection pulse, on the breaking up plasma. An additional short beam was injected into the drift space. Two cases with the different additional beam injection pulse duration were considered. Proceeding from experimental results we have made several conclusions about possible mechanisms of observed phenomena: - an additional charge is brought into the drift space during the one of residual wave half-periods. This charge will increase or decrease the wave amplitude in dependence of half-period polarity. - an additional charge is brought into the drift space and increases the magnitude of radial electric field. As result, the drift velocity increases and finally exceeds the phase velocity of the residual wave but the drift velocity increase is not enough for particles to leave the resonant area. Thus the drift space increase provides the transfer of energy from charged particles to residual diocotron wave and, as result, increases its amplitude.

REFERENCES

1. R.J. Briggs, J.D. Daugherty and R.H.Levy "Role of Landau damping in crossed-field electron beams and inviscid shear flow." Phys. Fluids, vol. 13, no.2, pp. 421-432, Feb. 1970 2. David A. Bachman and Roy W. Gould "Landau-Like damping in rotating pure electron plasmas", IEEE Trans. Plasma Set., vol. 24, pp. 14-15, Feb. 1996

29 UA061438 A035p

THE PHENOMENA OF ELECTRON CHARGE EJECTION ON THE DRIFT CHAMBER WALL DURING THE HOT ELECTRON BEAM TRANSPORTATION.

I.K. Tarasov, D.A. Sytnykov*, M.I. Tarasov*, E.D. Volkov

NSC Kharkov Institute of Physics and Technology, Kharkov 61108, Ukraine *Karazin Kharkov National University, Kharkov, 61108, Ukraine, e-mail:itarasov@ipp. kharkov. ua

Theoretical consideration of electron charge ejection phenomena was made by [1]. The results of this consideration were experimentally confirmed by Fedorchenko [2]. Both considered a simple diode configuration without a magnetic field. In this work the transportation of hot electron beam through the drift chamber along the magnetic field was experimentally studied. Drift chamber represents a cylindrical metallic tube. The injected hot beam is formed as a hollow cylinder. The main attention was paid to the phenomena of electron charge ejection on the drift chamber wall. The experimental results of charged particles ejection dynamics for a various charge density increasing rates in the space of drift are submitted. Such ejection is followed by the process of non-stationary virtual cathode formation. This formation occurs as result of longitudinal current limiting provided by the spatial charge of injected beam. It was noticed, that studied phenomenon always precedes the formation of potential double sagging followed by the coherent diocotron oscillations excitation in the space of drift. Such configuration represents self-consistent electron trap. The main differences between phenomenon described in this work and charge ejection studied in [1,2] are: - the presence of a longitudinal magnetic field; - the ejection of a charge occurs in a radial direction; - the ejection of a charge occurs at the moment of a beam current break-down.

Experimental results shows that self-consistent electron trap occurs after the stage of non- stationary virtual cathode with the limiting of electrons current in axial direction and radial ejection of electrons on the chamber wall.

REFERENCES

1. A.V. Pashenko, B.N. Rutkevich. Radiotechnics and Electronics, 24, p. 152 1979 (in Russian). 2. A.V. Pashenko, B.N. Rutkevich, V.D. Fedorchenko, Y.P. Mazalov. Jornal of Technical Physics (in Russian), vol.53, no.l, 1983 (in Russian).

30 UA061439 A040p

Higher-order nonlinear contributions to ion-acoustic waves in a plasma consisting of adiabatic warm ions, non-isothermal electrons and a weakly relativistic electron beam

A. Esfandyari-Kalejahi8-1,1. Kourakisw and P. K. Shuklaw ' Azerbaijan University ofTarbiat Moallem, Faculty of Science, Department of physics, 51745-406, Tabriz, Iran. b Ruhr-Universitdt Bochum, InstitutfiirTheoretischePhysikiy, D-44780Bochum, Germany. Email: ' [email protected], 2 [email protected], s [email protected]

Ion-acoustic solitary waves in a collisionless plasma consisting of adiabatic warm ions, a weakly relativistic electron beam [1, 2] and non-isothermal electrons [3, 4] are studied by using the reductive perturbation method. The basic set of model equations is reduced to a modified Korteweg-de Vries equation (mKdV) for the first order electric potential correction, and to a linear inhomogeneous equation for its second-order counterpart. Stationary solutions of the coupled equations are obtained by using the renormalization method of Kodama and Taniuti [5]. A better agreement between theory and experiments is obtained by taking into account the higher-order nonlinearity effects [6, 7]. The analysis reveals that four distinct ion-acoustic modes, which propagate at different phase velocities, occur in this plasma system. Two of these modes exist for all values of the electron beam to background electron density ratio a and ion to free electron temperature ratio a . The amplitude of (mKdV) solitons decreases (increases) as a ( a , respectively) increases, while the inverse behavior is witnessed by the soliton width, for these two modes. On the other hand, the two remaining modes exist only for small values of a and high values of a ; in fact, the phase speed of these modes becomes complex at some range of values of a and a . The amplitude and width associated to these modes decreases (increases) as a (a , respectively) increases. Finally, it is remarked that the effect of higher order nonlinearity results in an increased soliton amplitude for one of these modes, while deforming the soliton's shape (from a simple positive pulse to a W-shaped excitation), while in the case of three other modes, the effect of higher-order nonlinearity is to increase the soliton's amplitude without deforming its shape (a simple pulse is obtained).

References

[1] Y. Nejoh, J. Plasma Phys. 56,67 (1996). [2] A. R. Esfandyari, S. Khorram and A. Rostami, P/yw. P/oswos 8,4753 (2001). [3] H. Schamel, J. Plasma Phys. 9, 373 (1973). [4] S. G. Tagarel, J. Plasma Phys. 14,1 (1975). [5] Y. Kodama and T. Taniuti, J. Phys. Soc. Japan, 45,298(1978) [6] S. G. Tagare andR, V. Reddy, J. PlasmaPhys. 35,219 (1986) [7] Y. Nakamura and H. Bailung, Phys. Plasmas 6,3466 (1999). 31 UA061440 A041p

Symmetry Extensions In Kinetic And Hydrodynamic Plasma Models

V. B. Taranov

Institute for Nuclear Research, 47 Nauky Ave. Kyiv 03028 Ukraine, e-mail: [email protected] Keywords: plasma, kinetics, hydrodynamics, symmetry, exact solutions PACS: S2.65.Ff. 52.65.Kj

In recent decades the Lie group analysis has been applied to explore many physically interesting nonlinear problems in gas dynamics, plasma physics etc. Furthermore, different extensions of the classical Lie algorithm to the integro- differential systems of equations of kinetic theory were proposed (see [1]). In the present paper symmetry extension is considered of the kinetic theory of collision less plasma containing particles with equal charge to mass ratio. New transformations leaving the integro-differential equations of the kinetic theory invariant are found. It is shown that this symmetry allows us to reduce the number of equations. It is shown that the Lie group of symmetry obtained previously by the indirect algorithm using an infinite set of equations for the moments of the distribution functions [2] forms the sub manifold of the new found transformations. The importance of additional conditions - positiveness and integrability of distribution functions, existence of their moments - is underlined. Self similar solutions are found [3] for Hasegawa-Mima model and its 3D generalizations. Such solutions exist as a consequence of the symmetry extension in the vicinity of the critical points of the drift-ion acoustic waves. Symmetry extension in the approximation of Electron Magnetohydrodynamics (EMHD) leads to the generation of the large amount of low frequency noise in nonlinear regime [4]. So, EMHD as a nonlinear theory must be modified to include these effects.

REFERENCES

1. V. B. Taranov! and Z. J. Zawistowski, J. Tech. Phys., 303-309 (2003). 2. V. B. Taranov, B1TP Preprint 1TF78-J61P, 1-30 (1979). 3. V. B. Taranov, Sci. Papers of the last, for NucL Res., No.2(13), 81-85 (2004). 4. O. K. Chcrcmnykh, V. B. Taranov, Proceedings of the Interball Symposium, 241-244 (2000)

32 UA061441 A043p

Effect of negative-ion flux on ion distribution around a spherical probe in electronegative plasmas N. A. Azarenkov*, I. Denysenko* and M. Y. Yuf

*School of Physics and Technology, V. N, Karazin Kharkiv National University, Svobody sq.4, 61077 Kharkiv, Ukraine ^Theoretical Physics I, Ruhr University, D-44780 Bochum, Germany

The electric potential and the electron- and ion-density profiles near a spherical probe in electronegative plasmas containing negative as well as positive ions are studied. It is shown that for relatively large probe radius and neutral- gas pressure, and/or small electron-to-ion temperature ratio, the density profile of the negative ions can differ from that of Boltzmann if their flux near the probe is outwards. The existence of stationary states is considered and the corresponding maximum negative-ion flux is obtained.

33 UA061442 A044p

Inversion of the Electron Energy Distribution in Hollow Cathode Glow Discharge in Nitrogen-Sulfur Hexafluoride Gas Mixture I. A. Soloshenko, V. Yu. Bazhenov, V. A. Khomich, V. V. Tsiolko, A. F. Tarasenko, A. G. Terent'eva, A. G. Kalyuzhnaya, A. I. Shchedrin

Institute of Physics of National Academy of Sciences of Ukraine, 46 Nauki Ave., 03028, Kiev, Ukraine, tsiolko @ iop. kiev. ua Keywords; hollow cathode EDF, inversion, sulfur hexaflaoride PACS: 5Z80.He,52.25.Dg

The phenomenon of inverse electron energy distribution function (EDF) in low-temperature plasma is of consider- able interest because such media can be used for obtaining inverse population of the atomic and molecular electron levels. The results of our previous experimental and theoretical investigations [1] showed that such distribution can be realized in hollow cathode glow discharge in nitrogen. The EDF inversion in pure nitrogen is related to certain features of the interaction of N2 molecules with electrons. In the region 2 - 4 eV, the electrons quite rapidly lose their energy for the excitation of vibrational levels of nitrogen molecules, which results in the appearance of a trough in the corresponding region of the EDF. Unfortunately, the absolute majority of electrons occur in the region of lower energy (< 2 eV), and their density in the region of EDF inversion in rather insignificant. In [2] we theoretically pre- dicted the possibility of increasing the fraction of electron in the region of EDF inversion by adding a small amount of electronegative gases (SF6 or CC14) into nitrogen. It was suggested, that the attachment of low energy electrons to the electronegative molecules would lead to a decrease in the number of such electrons in the discharge and, accordingly, to an increase in the relative fraction of electron with higher energies including those corresponding to the interval of inversion. This paper presents the results of experimental investigation of the EDF in a mixture of N2 and SF6 and theoretical calculation using parameters corresponding to the experimental conditions. The EDF was experimentally determined using a setup described in detail elsewhere [1]. The partial pressure of SF6 in our experiments was varied within (1 -10) mTorr, which amounted to 1 — 10 percent of the total gas mixture pressure. During the EDF measurements, the systematic error in the region of small electron eneigy, < (0.2 — 0.3) eV, was decreased using a method based on the combination of the firstan d second derivatives of the electron current to the Langmuir probe [3]. The introduction of (1 - 6) percent of SF6 into N2 led to increase in the discharge voltage by 20 - 60 percent and electric fieldstrengt h from 0.1 to 0.2 V^cm"1 in comparison with case of pure nitrogen. The plasma density with this 10 3 amount of SF6 was about (1 - 2) x 10 cm" , moreover the density of negative ions was several times greater than the electron density. Experiments have shown that presence of the electronegative additive in the gas mixture does lead to significant (by more than one order of magnitude) increase in the electron density in the region of EDF inversion. Results of performed calculation qualitatively agree with experimental data.

REFERENCES

1. V. Yu. Bazhenov, A. V. Ryabtsev, I. A. Soloshenko, el al., Plasma Phys. Rep. 27,813-818 (2001). 2. A. G. Kalyuzhnaya, A. V. Ryabtsev and A. I. Shchedrin, Tech. Phys. 48,38-42 (2003). 3. N. A. Gorbunov, A. N. Kopytov and F. E. Latyshev, Tech. Phys. 47, 940-945 (2002).

34 UA061443 A045p

Dynamics Of Beam Instability In A Bounded Volume Of Plasma: Numerical Experiment

V.P. Tarakanov1, E.G.Shustin2

'institute of Thermal Physics of Extreme States ofUIHTofRAS, Moscow 2 Institute of Radio Engineering and Electronics ofRAS, Moscow Keywords: low temperature plasma; electron beams; beam plasma discharge; ion flow; computer simulation. PACS: 52.40.Mj; 52.65.Rr

With the purpose of learning a nature of effect, detected in [1], of formation in beam plasma discharge of an ion flow spreading on a normal from a discharge axis with energy, much exceeding a thermal energy of electrons, the numerical simulation of dynamics of beam instability development in a limited volume of plasma (plasma resonator) at a low magnetic field is carried out. Is shown, that in such system the accumulation of a field is possible because of a small group velocity of plasma oscillations, excited by an electron beam. As the corollary, in area occupied by an electron beam, highly non-equilibrium plasma with mean energy of electrons reaching hundreds of an electron-volt is formed. At that distribution functions of electrons of the beam and the plasma become physically indiscernible. The electrons of this region create an additional current of electrons from plasma to end electrodes, that results in increase of a potential of plasma in area occupied by the beam. The acceleration of a flow of ions on a normal from an axis of a system is a consequence of presence of a potential gradient between area occupied with the beam and peripheral area of plasma. Essential result of numerical experiment is stochastic behavior of excited oscillations at temporal development, specific time of transition from regular oscillations to stochastic ones being much smaller than is required for development of slower types of instability in the system. It is possible to guess, that the heating of plasma electrons observed in these numerical experiments using a model of collisionless plasma, is determined by the mechanism of collisionless attenuation of stochastic oscillations [2]. The comparison of outcomes of simulation to conclusions of the theory beam instability in a spatially bounded system, and also with results of physical experiments is carried out. References 1. N. V. Isaev, A. I. Chmil', E. G. Shustin. Fiz. Plazmy 30, 292-297 (2004) [Plasma Phys. Rep. 30,263 (2004)] 2. Ya. B. Fainberg, F. G. Bass, and V. D. Shapiro, Zh. Eksp. Teor. Fiz. 49, 329 (1965) [Sov. Phys. JETP 22,230 (1965)].

35 UA061444 A046p

Relativistic Electron Beam Acceleration by Compton scattering of Extraordinary Waves Sugaya Reiji

Matsuyama Department of Physics, Faculty of Science, Ehime university Bunkyo-cho 2-5, Matuyama 790-8577, Japan [email protected]

Acceleration and heating of a relativistic electron beam by the Compton scattering of extraordinary waves propagating almost perpendicularly in a magnetized plasma are investigated theoretically and numerically on the basis of the relativistic kinetic wave and transport equations [1-5]. Two extraorinary waves interact nonlinearly with the realtivistic electron beam, satisfying the resonance condition for the Compton scattering (nonlinear Landau and cyclotron damping) [4,5]. The relativistic transport equations using the relativistic drifted Maxwellian momentum distribution function of the relativistic electron beam were derived and analyzed. It was verified that the Compton scattering of the extraordinary waves can accelerate efficiently the highly relativistic electron beam [6,7]. It can be available usefully to the acceleration of the highly relativistic electron beam.

[1] R. Sugaya, J. Phys. Soc. Jpn. 59,3227(1990);60,518(1991). [2] R. Sugaya, Phys. Plasmas 1,2768(1994);3,3485(1996). [3] R. Sugaya, J. Plasma Phys.56,193(I996);64,109(2000);66,143(2001). [4] R. Sugaya, J. Plasma Phys. 6,4333(1999);70,331(2004). [5] R. Sugaya, Phys. Plasmas 10,3939(2003). [6] Y. Kitagawa, Y. Sentoku, S. Akamatsu et al., Phys. Rev. Lett. 92,205002(2004). [7] M. J. Hogan, C. D. Barnes, C. E. Clayton et al., Phys. Rev. Lett. 95,054802(2005).

36 UA061445 A050p

Acceleration Of Ions In Beam Plasma Discharge At a Low Magnetic Field. Coordination Of Energy Distributions Of Electrons And Ions

N. V. Isaev and E. G. Shustin

Institute of Radio Engineering and Electronics ofRAS, Moscow

Keywords: low temperature plasma; electron beams; beam plasma discharge; ion flow; experiment. PACS: 52.40.Mj

In [1] a phenomenon of stable acceleration of ions in beam plasma discharge at a low magnetic field up to energies, on the order exceeding a thermal energy of electrons is revealed experimentally. The radial current of high energy ion component makes an essential part of a total current of ions escaping the region of discharge, and the current density is inversely proportional to distance from a discharge axis. It means that these are the ions originated in axial area of discharge that are accelerated. In the report [2] the results of computer simulation of beam instability development at parameters of a system, close in those in [1] are represented. The effect of formation of paraxia! area of plasma with highly heated electrons is detected. Its high electrostatic potential determines acceleration of ions from this area to peripherals of discharge. For verification of conclusions of numerical experiment the measurements of a velocity distribution function of electrons escaping area of discharge to its collector, together with energy distribution of ions which are running out from discharge on a normal to an axis are carried out. The effect of essential heating of electrons of plasma in paraxial area is detected in those regimes, when the acceleration of ions is observed. The temporal and space structure of high-frequency oscillations (in range co-COpe) generated in discharge is researched. The effect of accumulation of a field of regular oscillations is detected in the region of injection of a beam and their stochastisatibn in process of propagation along the axis of system. The results of physical experiments qualitatively correlate with the data of computer simulation. References 1. N. V. Isaev, A. I. Chmil', E. G. Shustin. Fiz. Plazmy 30, 292-297 (2004) [Plasma Phys. Rep. 30,263 (2004)] 2. V.P.Tarakanov, E.G. Shustin. Dynamics of beam instability in a bounded volume of plasma: numerical experiment. Report on this conf.

37 UA061446 Alllp

Formation of Electron Vortices in Ion Beam Plasma in Crossed ExB Fields

Yu. Chekh, A. Goncharov, I. Protsenko, A. Evsyukov

Institute of Physics National Academy of Sciences of Ukraine, 46, pr. Nauty, Kyiv, 03028, Ukraine Keywords: vortex-chain, beam-drift instability, ion beam plasma, nonneutral plasma, electrostatic plasma lens. PACS: 52.25.Xz, 52.35.Fp, 52.35.Kt, 52.35.Mw, 52.35.Qz, 52.27.Jt, 52.35.We

The nonunifonn density distribution of magnetized electrons compensating the beam of positively charged ions in crossed ExB fields results in the excitation of strong beam-drift instability which amplifies the electrostatic waves propagating in ExB direction [1, 2]. We investigate experimentally the nonlinear stage of instability development, where the waves can trap electrons creating the vortex chain. Using the wide aperture (0 7.4 cm) electrostatic plasma lens, we fix the annular electron density distribution (with the density up to 1.5 -109 cm"3) in medium-energy (< 40 keV) high-current (0.4 A) heavy-ion (Cu) beam, thus creating the condition for anharmonic large-amplitude (up to 1 kV) low- frequency (400 kHz) electrostatic waves to be excited. Having measured the electric field distribution in the lens central plane, we establish that electron bunches (arising due to instability) contain trapped electrons rotating around the corresponding bunch with high velocity, in such a way making up the vortex. The velocity of electrons trapped in each separate vortex of the chain are found to be sufficiently higher the velocity of the vortex movement as a whole around the lens axis. The main mechanism of the stabilization of vortex amplitude is established. The considered vortex structures are nonneutral that defines high electric fields realized within them.

REFERENCES

1. A.A. Gonchartov, I.V. Litovko, Electron vortexes in high-current plasma lens, IEEE Iran. Plasma Sci, 27, N 4,1073-1078(1999). 2. A.A. Goncharov, V.I. Maslov, and I.N. Onishchenko, Vortex Electron Dynamics in a High-Current Plasma Lens, Plasma Physics Reports, 30, N 8, 662-670 (2004).

38 UA061447 A112p

The Scattering and Transformation Processes in Magnetized Plasma with Pump

V. N. Pavlenko and V. G. Panchenko

Institute for Nuclear Research of the National Academy of Sciences of Ukraine, Prospekt Nauki, 47, Kyiv, 03680, Ukraine

It is known that in a medium with certain fluctuation level the propagation of electromagnetic wave can lead to radiation of waves with new frequencies and wavenumbers, i.e. scattering waves, or new types of waves - transformed waves [1 - 5], Combined wave scattering and transformation in a plasma were predicted in [1]. In the present report we investigate the scattering of transverse electromagnetic wave by turbulent density fluctuations in an inhomogeneous magnetized plasma with density gradient with lower-hybrid pump. We consider the case, where lower-hybrid pump wave parametrically excited of electron drift wave. We study also the transformation of transverse electromagnetic wave into longitudinal Larmuir wave in inhomogeneous plasma when the upper-hybrid wave decay into daughter and electron drift wave. It is shown that in region above instability threshold the coefficient of transformation is mainly determined by pump field term. Investigations of electromagnetic wave scattering and transformation by density fluctuations for studying such problem as plasma diagnostics, wave transformation mechanism in plasmas, measurements of the efficiency of the high-frequency pump power dissipation, definition of dispersion properties of plasma wave processes are discussed.

REFERENCES

1. A. I. Akhiezer, I. G. Prochoda and A.G. Sitenko, Zh. Eksp. Tear. Fiz. 33,750 (1957). 2. A. G. Sitenko, Y. A. Kirochkin, Sov. Fiz. Usp. 89,227 (1966). 3. H. Wilhelmsson, V. N. Pavlenko and V. G. Panchenko, Physica Scripta 43, 323 (1991). 4. P. K. Shukla, V. N. Pavlenko, V. G. Panchenko, Plasma Phys. andContr. Fusion 33, 643 (1991). 5. V. N. Pavlenko, V. G. Panchenko and S. A. Nazarenko, Physica Scripta 82,109 (1999).

39 UA061448 A113p

Turbulent Diffusion in Magnetized Parametrically Unstable Plasma

V. N. Pavlenko and V. G. Panchenko

Institute for Nuclear Research of the National Academy of Sciences of Ukraine, Prospekt Nauki, 47, Kyiv, 03680, Ukraine

Cross-field plasma diffusion in a magnetoactive uniform plasma has been of current interest in plasma physics [1-3]. In present report the turbulent diffusion in magnetized plasma under condition of parametric interaction of lower hybrid waves with long-wavelength convective cell modes is studied.

When the electric field of the perturbation has a component parallel to the external magnetic field (kz # 0), the behavior of the convective cells changed, and it is necessary to consider the motion of electron along the magnetic field lines. These modes are long-wavelength and belong to the Alfven wave branch and are called "modified convective cells" [4]. Note that these long-wavelength convective modes arise in a magnetized plasma with a small value of P (P - is the ratio of the pressure to the magnetic pressure) and can occur in the ionospheric plasma. For the parametric decay of lower-hybrid pump wave into a daughter wave and the modified convective cells plasma diffusion coefficient is found. We also, study the diffusion processes in the situation, when lower-hybrid wave parametrically exited ion-cyclotron wave in plasma with ion-temperature anisotropy. It is shown that the diffusion coefficient depends explicitly in the temperature anisotropy. Numerical calculations demonstrate that the diffusion term due to the pump wave is dominated in comparison with the diffusion which takes place in the plasma in the presence of the thermal fluctuations only. The present result can be of interest for the investigation of anomalous transport processes in laboratory and space plasmas. REFERENCES

1. H. Okuda, Phys. Fluids 17, 375 (1974). 2. P. K. Shukla, V. N. Pavlenko and V. G. Panchenko, Plasma Phys. Control Fusion 33, 643 (1991). 3. V. N. Pavlenko, V. G. Panchenko, and S. A. Nazarenko, Plasma Phys. Cont. Fusion 42,1187 (2000). 4. V. N. Pavlenko, V. G. Panchenko, and P. K. Shukla, Sov. J. Plas.a Phys. 15(8), 531 (1989).

40 UA061449 A114p

Flow Shear Effects on Drift-Wave Instability in Multi-Ion Plasmas

T. Kaneko. R. Ichiki, K. Hayashi, and R. Hatakeyama

Department of Electronic Engineering, Tohoku University, Sendai 980-8579, Japan

Sheared plasma flows in magnetized plasmas are very important issues not only in the near-Earth space plasma but also in fusion oriented plasmas. In recent studies, the ion flow velocity shear parallel to the magnetic field lines has been reported to enhance the drift-wave instability [1,2], while the perpendicular flow velocity shear has been confirmed to regulate not only the drift-wave but also ion-cyclotron instabilities independent of the sign of the shear [3]. In order to clarify the mechanisms of excitation and suppression of these instabilities in the real situation of the space and fusion plasmas, it is necessary to realize the controlled superposition of the parallel and perpendicular flow shears in multi-ion plasmas, i.e., the plasmas with a couple of positive and/or negative ion species. Thus, the aim of the present work is to independently control and superimpose the parallel and perpendicular flow shears in the basic plasma device with concentrically three-segmented electron and ion emitters [4], and to carry out laboratory experiments on the drift-wave instability excited and suppressed by the superimposed flow shears in collisionless magnetized plasmas with negative ions as a first step of the multi-ion plasmas. Experiments are performed in the Qr-Upgrade machine of Tohoku University. We attempt to modify a plasma-synthesis method with opposed electron and potassium ion emitters, where the both emitters are concentrically segmented into three sections. When each of the electron emitter is individually biased, the radially different plasma potential, i.e., radial electric field is generated. This electric field causes the E*B flows and flow shears perpendicular to the magnetic-field lines. On the other hand, the parallel ion flow with radially different energy, i.e., the parallel ion flow shear, is generated when each section of the segmented ion emitter is individually biased at a positive value above the plasma potential that is determined by the bias voltage of the electron emitter. Therefore, these parallel and perpendicular flow shears can be superimposed by controlling the bias voltage of the ion and electron emitters independently. Under our conditions, the plasma density is 108 cm'3, the electron temperature is 0.2 eV, and the ion temperature is almost the same as the electron temperature. A background gas pressure is less than 1CT6 Torn The fluctuation amplitude of the drift-wave instability is observed to increase with increasing the parallel shear strength, but the instability is found to be gradually stabilized when the shear strength exceeds the critical value. The experimental results are in good agreement with the dependence of the theoretical growth rate on the shear strength, which is calculated in the kinetic treatment including the effect of the radial density gradient When the perpendicular flow shear is superimposed on the parallel flow shear, on the other hand, the drift-wave instability is found to be suppressed by the slight shear of the perpendicular flow velocity even in the presence of the parallel shear. We obtain the contour map of the fluctuation amplitude on the parallel and perpendicular flow shears, and analyze the superposition effects of these shears in detail. The characteristics of the fluctuations,attribute d to the shear-modified drift-wave instability, are found to change when SF6 gas is introduced into the plasma as a negative ion source [5]. The range of the parallel-shear strength that destabilizes the fluctuations extends to both larger and smaller values. Furthermore, for sufficiently large concentration of negative ions, the frequency spectrum makes a transition from sharp to broad as the shear strength is increased. These trends may be related to negative-ion effects on the wave phase velocity which, in turn, modifies Landau damping and growth. We are interested in possible applications of these results to structure formation in a turbulent plasma that contain both negative ions and a sheared positive-ion flow.

[1] T. Kaneko, H. Tsunoyama, and R. Hatakeyama, Phys. Rev. Lett. 90 (2003) 125001. [2] T. Kaneko, B.W. Reynolds, R. Hatakeyama, and M.E. Koepke, Phys. Plasmas. 12 (2005) 102106. [3] R. Hatakeyama and T. Kaneko, Phys. Scripta, T107 (2004) 200. [4] T. Kaneko, Y. Odaka, E. Tada, and R. Hatakeyama, Rev. Sci. Instrum, 73 (2002) 4218. [5] R. Ichiki, T. Kaneko, and R. Hatakeyama, Proceedings of 27th International Conference on Phenomena in Ionized Gases (CD-ROM), (2005) 13-239.

41 UA061450 A117p

Some Macroscopic Properties of Plasma State through Thermodynamical Approach

M.S.Yaghmaee ", KhAlavib, B.Shokri0* Plasma Group, Laser-Plasma Research Institute, SBU, Teh. Iran " [email protected], b [email protected], 'correspondent author

Abstract: In many plasma applications when we wish to make a material modeling of either plasma state or the products, we would expect to use some macroscopical measurable materials properties which describe the micro-state of plasma, in other word the science of thermodynamics and materials. But there is still a huge gap between these two fundamental sciences and the plasma science. One of the main aims for any experimental or theoretical investigating would be to find how our material behaves. For the plasma state when we try to use simple algorithms of thermodynamics of materials science, we face with a gap of interface between the plasma and material science, either in terminology or in understanding the problem itself. For starting to get such new approach to the problems, here we focused on the time period before the plasma gets into temperature equilibrium. So, we try to combine the classical hypothesis somehow applicable in that plasma state, although the introduction of time and change of physico- chemical property by time itself means a great challenge itself. Such process yet leads to some global and general hypothesis but the first step towards any further experiments or exact material modeling of plasma. Here we focus on some state equation for mixing of different particles with different temperatures, temperature relaxation, interaction pressure during the relaxation, activity of interaction, excess Gibbs energy of interaction, heat capacity of interaction and similar questions.

Application for Poster Presentation

42 UA061451 AH8p

Size Influence on Cohesion Energy of Nano-Materials

M.S.Yaghmaee a, B.Shokrib* Plasma Group, Laser-Plasma Research Institute, SBU, Teh. Iran [email protected], [email protected], 'correspondent author

Abstract: From view point of theoretical and experimental analysis of Plasma production of nano-materials and also in order to optimize the process of production via Plasma technologies, we need to understand how the fundamental properties of such nano- materials differ from the expected bulk materials structures. Here the cohesion energy of materials -as a fundamental property describes the behavior of mater in different environment- will be discussed for small materials through a nano-thermodynamical approach. The size of materials by decreasing their size could affect this property as the surface to volume ratio of atoms increases and the surface energy dominates the most behaviors in total energy terms. Consequently through cohesion energy of material, all other properties will be changed by size in small scale materials which mostly observed for cases under 100 nm. Two algorithms, one as a simple size dependency of inner cohesion energy of the particle and the second which consider also the surface and the inner cohesion energy together will be presented through a computational demonstration.

Application for Poster Presentation

43 UA061452 A119p

Stable two-dimensional soliton and vortex structures at the upper-hybrid resonance

V. M. Lashkin

Institute for Nuclear Research, 47 Prospekt Nauki, 03680 Kiev, Ukraine Keywords: plasma, soliton, vortex PACS: 0S.45.Yv, 52.35.Mw

We present the generalized Zakharov-type system of two-dimensional (2D) equations, describing the interaction between high-frequency upper-hybrid waves and low-frequency dispersive magnetosonic waves. Dispersion of the magnetosonic wave effectively introduces the nonlocal nonlinear interaction provided that p ^ 1 (the ratio of kinetic to magnetic pressure). The nonlocal nonlinearity in the equations results in the possibility of existence of stable 2D nonlinear structures. We show that, under the fixed number of quanta, the Hamiltonian is bounded from below and, thus, give a rigorousproo f of the absence of collapse in this model. 2D soliton, vortex and dipole-type soliton solutions are found numerically. By direct numerical simulations we show that 2D solitons with negative initial Hamiltonian are stable and do not collapse.

REFERENCES

. M. Porkolab, and M. V. Goldman, Phys. Fluids, 19,872-881 (1976). . I. A. Kolchugina, A. G. Litvak, and A. M. Sergeev, JETP Lett, 35,631-633 (1982). . A. G. Litvak, V. I Petrukhina, A. M. Sergeev, and G. M. Zhislin, Phys. Lett. A, 94,85-89 (1983). . N. N. Rao, and P. K. Shukla, Physica Scripta, T82,53-59 (1999). . B. Eliasson, and P. K. Shukla, Phys. Plasmas, 10,3539-3552 (2003).

44 UA061453 A126p

X-ray spectroscopy, preliminary experimental results in low-energy plasma focus devices Zambra M.\ Silva P.*, Pavez C.*, Moreno J.* and Soto L.*

'Chilean Nuclear Energy Commission Santiago, Chile

Soft and hard pulsed X-rays produced by plasma focus devices are still under numerous theoretical and experimental investigations in order to understand their generation, principal characteristics as well as their possible medical and industrial applications. Also, the X-rays are important physical events for the understanding of the plasma itself, especially to infer the electron density or temperature. Preliminary experimental results of spectroscopy of pulsed X- rays generated by low-energy plasma focus devices are presented. A KDP crystal spectrometer to analyze the X-rays is placed perpendicular to the discharge axis of the plasma focus device and the object emitter is the plasma focus column.

45 UA061454 A131p

Potential Formation in the Plasma with Two Positive Ion Species

M. (Sei-cele1-2. T. Gyergyek3'1 ' "Jozef Stefan" Institute Jamova 39,1000Ljubljana, Slovenia 2 University ofMaribor, Faculty of Civil Engineering, Smetanova 17, 2000 Maribor, Slovenia 3 University of Ljubljana, Faculty of Electrical Engineering, TrzaSka25, 1000 Ljubljana, Slovenia

Recently, much attention has been paid to the multiple ion species presheath/sheath problem, which still needs further investigation [1, 2]. Plasmas with two or more positive ion species are very often found in plasma devices for technological applications and also in fusion machines. In this contribution we present the study on potential formation near a floating collector in such plasma. In the analytical study we use a fully kinetic plasma sheath model, originally developed by Schwager and Birdsall [3] and later extended in order to include additional particle species like hot electrons [4] and/or negative ions [5].The collisionless one-dimensional presheath/sheath plasma region is bounded by a planar plasma source on one side and by a floating collector on the other side. From the Maxwellian plasma source two positive ion populations are injected into the system with an accelerated half-Maxwellian distribution, whereas the electron population is modelled with a truncated full-Maxwellian distribution. The collector floating potential and the presheath potential are calculated as functions of second positive ion density fraction using three boundary conditions. Setting the net charge at the sheath boundary to zero, we obtain the first equation which relates the floating potential and the presheath (source potential drop) potential. The second equation is obtained from the assumption of zero electric field at the source boundary and at the collector sheath boundary. The third equation, which enables to express the particle density ratios as s function of the floating potential, is obtained from the zero net collector current. The results are compared to the results obtained from the calculations far a plasma with single positive ion population and with the results of the PIC simulation experiment. In order to complete the theoretical investigation we also study the plasma system with the XPDP1 particle-in-cell simulation code composed at Berkeley University. The potential and particle density profiles are examined and resulting particle velocity distribution functions along the system calculated and displayed. Good agreement with analytical results is obtained. REFERENCES

1. N. Hershkowitz, Phys. Plasmas 12,055502/1-11 (2005). 2. R. N. Franklin, J. Phys. D:Appl. Phys. 36,34-38 (2003). 3. L. A. Schwager and C. K. Birdsall, Phys. Fluids B 2,1057 (1990). 4. C. D. Smith and E. F. Jones, "Load-Cycling in Cubic Press" in Shock Compression of Condensed Matter-2001, edited by M. D. Furnish et al., AIP Conference Proceedings 620, American Institute of Physics, Melville, NY, 2002, pp. 651-654. 5. M. Cercek, T. Gyergyek and M. Stanojevic, Contrib. Plasma Phys. 39, 541 (1999).

46 Amp UA061455

Multiple floating potentials of an electron emitting electrode immersed in a two-electron temperature plasma with critical electron emission T. Gyergyek* and M. Cercek*

* University of Ljubljana, Faculty of electrical engineering, TriaSka 25, 1000 Ljubljana, Slovenia * Jozfif Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia University ofMaribor, Faculty of civil engineering, Smetanova 17, 2000 Maribor, Slovenia Keywords: Plasma, sheath, pre-sheath, Bohm criterion, electron emission, emissive probe, two-electron temperature PACS: 52.40JKh, 52.40.Hf, 52.27.Cm

We analyze the current-voltage characteristics of an electron emitting electrode that is immersed in a non- magnetized two-electron temperature plasma by a simple one dimensional fluid model. The model itself has been presented elsewhere [1, 2], so it is not worked out in detail. We present in our opinion an interesting result of the model. The potential drop in the pre-sheath can be determined either by the hot electron population or by the cool electron population. When the potential drop in the pre-sheath is determined by the cool electron population and the emission of electrons from the collector is critical (this means that the electric field at the surface of the electrode is zero), the electrode may have up to 3 different floating potentials. The reason for this is that the critical electron emission current is not a monotonous function of the electrode potential but can have a very strong local maximum and minimum. In addition to that another floating potential is possible when the potential drop in the pre-sheath is deter- mined by the hot electrons. So at the same plasma parameters and electron emission from the electrode, the electrode can have up to 4 different floatingpotentials . Our model is relevant for the analysis of the emissive probe characteris- tics and for electrodes made of materials with considerable secondary electron emission coefficients. Multiple floating potentials of a Langmuir probe with strong secondary electron emission immersed in a plasma containing energetic electrons were observed also in an experiment [3].

REFERENCES

1. T. Gyergyek, M. CerCek, Contrib. Plasma Phys., 45, pp. 89-110, (2005). 2. T. Gyergyek, M. Cercek, Contrib. Plasma Phys., 45, pp. 568-581, (2005). 3. Chcoi-Hee Nam, N. Hershkowitz, M. H. Cho, T. Intrator, D. Diebold, J. Appl. Phys., 63, pp. 5674-5677, (1988).

47 UA061456 A133p

Free and bound electrons in molecular dynamics simulations of nonideal plasmas Morozov I.

Institute for High Energy Decides of HAS IHED-TVTAN Idiorskaya, 13/19, Moscow 125412, Russia 485-7990 [email protected]

Non-degenerate electron-ion nonideal plasma is studied by the method of molecular dynamic simulation. New tech- nique is developed to mark out electron-ion pairs corresponding to the quasiclassical bound states. Mean values and distributions were obtained for the following properties of the bound states: energy, interparticle distance, and lifetime. The method is insensitive to the short range part of the interaction potential. It allows one to determine contribution of free and bound electrons to the current autocorrelation function and plasma conductivity.

48 UA061457 A134p

Parametric instabilities of coupled Langmuir and ion oscillations in a cold quantum plasma Shukla P. K.

Ruhr-Universitaet Bochum Institutfuer Theoretische Physik IV NB 7/23 Ruhr-Universitaet Bochum D-44780 Bochum Germany Department of Physics, Umea University Sweden Department of Physics Umea University SE-90187 Umea Sweden [email protected] [email protected]

We consider nonlinear couplings between Langmuir and ion oscillations in a cold quantum plasma. By using the quantum hydrodynamical equations for the electrons and ions, togetherwit h the Poisson equation for the electrostatic field, we derive a pair of equations for the nonlinearly interacting Langmuir and ion oscillations, accounting for relativistic electron mass variations and the Langmuir wave ponderomotive force. The coupled nonlinear equations are then used to derive a nonlinear dispersion relation that admits new classes of parametric instabilities. The growth rates of those instabilities are presented. The relevance of our investigation to nonlinear phenomena at quantum scales is suggested.

49 UA061458 A135p

Non-Local Theory of Spectra of "Modified" Ion Cyclotron Waves in Plasma with Large Ion Orbits in Crossed Fields

Yu. N. Yeliseyev

National Science Centre "Kharkov Institute of Physics and Technology" Akademicheskaya St.,1, 61108 Kharkov, Ukraine, tel. +38-057-335-61-02

The plasmas consisting of magnetized electrons and unmagnetized collisionless ions in crossed fields are widely used in various devices. These are plasma lenses and plasma ion sources based on Penning cell. Such plasma is formed in the channel of electron and ion beam. The interpretation of the observed ion oscillation spectra in the whole range of field strengths, of the electron and ion densities poses an actual problem. In the report the non-local problem on the stability of the plasma cylinder, placed in the crossed longitudinal homogeneous magnetic field and radial electric one is considered on the ground of kinetic treatment of unmagnetized ions having large orbits. It is supposed, that the electric potential in plasma obeys a square-law function of radius. The cylinder is bounded with a metal casing. The electrons are magnetized being distributed uniform in radius. In crossed fields they rotate rigidly around the axis of the plasma cylinder with the frequency of E x B -drift having the Maxwellian distribution in this rotating frame of reference. The ions are unmagnetized. Having been bom radially homogeneous at rest under the ionization of the residual gas, they move without collisions. The ions trapped in the potential well of the radial electric field perform radial oscillation motion along strongly extended, nearly straight-line trajectories with the amplitude comparable to the radius of the plasma cylinder itself. The frequency of these oscillations is called the "modified" cyclotron frequency of a particle in the crossed fields. The equilibrium distribution function of such ions has been determined in papers [1, 2]. It possesses the features both of Fermi-Dirac and of the "rigid rotator" distribution functions. The density of ions is supposed to be small. The linearized Vlasov kinetic equation for ions and the Poisson equation are solved jointly. In this report the electrons are assumed to be "hot". The cylindrical coordinates of Larmor centre of a particle (i?,8) and its coordinates on Larmor circle ( p, 9-) are used as independent variables in Vlasov equation. The radial eigenfunctions are sought in the form of expansion in Bessel functions [3]. The homogeneous equation set is obtained for the expansion coefficients. The set is non-diagonal one because of the presence of ions. The obtained expressions for matrix elements of the set are valid within the total range of the ion "modified" cyclotron frequency, for arbitrary strength of magnetic and radial electric fields, azimuth wave number and longitudinal wave vector. The dispersion equation for the plasma eigenfrequencies was obtained from a condition of vanishing the determinant of this set of equations. As is clear from the dispersion equation, in the strong electric field the dimensionless frequency spectrum in the ion rotating frame of reference does not depend on ion mass, i.e. the spectrum is universal. The dispersion equation was solved numerically for the waves with various azimuth wave numbers. The computation results are presented graphically as dimensionless frequencies in ion rotating and in laboratory frames of reference against the parameter b2 =((a2 /rj^ + A^a2)'1. The curves form families located close to the ion "modified" cyclotron frequency (both above and below it) and its harmonics including zero-order one. Different curves inside the family correspond to different radial modes. At small enough ion density the oscillation spectra are stable. With the parameter b2 increasing the curves shift down further from "their" harmonics. At greater density of ions the curves, belonging to the adjacent families, approach each other. Some lowest radial modes (zero-order and less often first-order) can intersect. These modes become unstable in this region. This is the instability of "negative mass" type. The maximum growth rates achieve some tenth parts (up to 0.5) of the ion "modified" cyclotron frequency. On changing the parameter b2 over some orders of magnitude the real part of dimensionless frequency of unstable oscillations changes insignificantly, less than by 0.1.

1. Yu. N. Yeliscyev, Yu. A. Kirochkin and K. N. Stepanov, "Non-Local Theory of Ion Cyclotron Instability of a Plasma in Crossed Axial Magnetic and Strong Radial Electric Fields" in 1987 Intern. Conf. On Plasma Phys., edited by A.G. Sitcnko, Proc. Contrib. Papers, v. 1, Kiev, Naukova dumka, 1987, pp. 26-29. 2. V.G. Detn'yanov, Yu.N. Yeliseyev, Yu.A. Kirochkin, A.A. Luchaninov, V.I. Panchenko, K.N. Stepanov, Fizika plasmi 14, 840- 850 (1988). 3. Chibisov D.V., Mikhailenko V.S., Stepanov K.N., Plasma Phys. Contr. Fusion. 34, 95-117(1992). UA061459 A136p Linear and non-linear laser spectroscopy in studies of low-temperature and high-density plasmas

K.Dzierzega(1), W.Zawadzki(I), S.Pellerin(2), B.Pokrzywka(3) and K.Musiol(1)

'" Institut of Physics, Jagellonian Univ., ul. Reymonta 4, 30-459 Krakow - Poland f2) LASEP - Centre Untversitaire die Bourges, BP 4043, 18028 Bourges cedex 2 - France )3) Mi. Suhora Observatory, Cracow Pedagogical University, ul. Podchorazych 2, 30-083 Krakow - Poland

The laser scattering experiments on plasma provide a substantial amount of information on plasma parameters such as the electron density ne, the electron temperature T, and the heavy-particle densities and temperatures. Laser spectroscopy can also be a powerful method to study the interaction between plasma constituents and plasma microfields by measuring the Stark broadening and shift of spectral lines. The main advantages of laser methods consist in high spatial, temporal as well as spectral resolutions. Moreover, the ability of some laser methods to select only atoms with given velocities results in great reduction or even complete elimination of the Doppler broadening. On the other hand, due to the small cross sections for some of these laser scattering processes the experiments require high power pulsed lasers which can result in strong plasma disturbance. It follows that the results need careful approach and often simple, linear extrapolation of final results to the zero laser pulse energies can give misinterpretation of physical phenomena. In this presentation, the Thomson scattering and the degenerate four-wave mixing laser methods will be discussed in terms of their application to study low-temperature (keTc-l eV) and high density (n^lO12 m"3) plasmas. Laser Thomson or incoherent scattering (LTS) is the process of scattering of low energy photons (hco «nteP2) on free electrons present in a plasma. The theory of Thomson scattering has been presented in detail in many publications [1, 2, 3]. The interpretation of the experimental Thomson-scattered spectra is, in most cases, straightforward and gives simultaneous direct access to ne and Tc. This method is attractive because it does not require any assumption about local thermodynamic equilibrium. The problem of the electron heating by the incident laser beam has been recently studied by Murphy [4]. He solved one-dimensional equation for the electron heating by absorption of laser radiation and cooling due to such processes as: electron thermal conduction, energy transfer to heavy particles by elastic and inelastic processes and by radiative emission. These calculations show highly nonlinear dependence of the derived electron temperature on the laser power and that the usual linear extrapolation leads to an overestimate of the electron temperature. This work will present the experimental results of our investigations of the electron heating in Thomson scattering experiments obtained for atmospheric-pressure argon thermal plasma. The spatially and temporally (in time of the laser pulse duration) resolved LTS spectra enabled us to follow the evolution of Te. These experimental results will be compared to the theoretical ones obtained with the model of Murphy. Degenerate four-wave mixing (DFWM) spectroscopy in phase-conjugate configuration has been used to measure Stark width and shift of the 696.543 nm Arl line in an argon arc plasma at atmospheric pressure. The measurements have been performed on the arc axis where the plasma is in the local thermal equilibrium. The relationship between the DPWM signal intensity and plasma temperature at high laser intensities has been experimentally determined while the line profile has been measured at different low laser intensities to study the influence of the electron heating on its Stark width and shift. Acknowledgment This work was supported in part by Polish Committee for Scientific Research (grant 1 P03B 090 26), Region Centre (France) and by project d'Action Integrees-Polonium 01412ZH. References [1] H.J.Kunze, "The laser as a tool for plasma diagnostics" in Plasma Diagnostics, W.Lochte-Holtgreven ed., pp.550- 616, North-Holland Publishing Company, Amsterdam, 1968. [2] D.EJEvans and J.Katzenstein, "Laser light scattering in laboratory plasmas" Rep.Prog.Phys. 32, pp.207-271,1969 [3] J.Sheffield, Plasma Scattering of Electromagnetic Radiation, Academic Press, New York, London, 1975. [4] A.B.Murphy, "Electron heating in the measurement of electron temperature by Thomson scattering: Are Thermal Plasmas Thermal?" Phys.Rev.Lett. 89, pp.025002,2002.

51 UA061460 A150p

Smooth cut-off of high level terms of atomic partition 'function in nonideal plasmas Norman G.

Institute for High Energy Densities ofRAS IHED-WTAN, Izhorskaya, 13/19, Moscow 125412 norman @ ihed. ras. ru

The approach is developed for the modeling of nonideal plasmas which would permit to treat highly excited bound states of atoms together with free charges simultaneously, and to get separation between bound and free states as a result of the molecular dynamics simulation. The system of electrons and singly charged ions is considered. Bound states are treated as fluctuations. Energy distributions of excited atoms are presented for different nonideality parameters. The results are compared with the Plank-Larkin, screened Coulomb potential, and average interparticle distance cut-off procedures.

52 UA061461 A151p

Investigation and Application of the Line Intensity Ratio Method for Measurement of Electron Density and Temperature Shin Kajita

Nagoya university Department of Energy Engineering and Science Graduate School of Engineering Nagoya university Furocho, Nagoya 464-8603, Japan [email protected]

The electron density and temperature obtained from the line intensity ratio method of He I (667.8, 706.5 and 728.1 nm) are compared to the electrostatic probe method in divertor simulator NAGDIS-II [1]. When a collisional radiative (CR) model without the effect of the radiation transport was used for the analysis, electron density obtained from the line intensity ratio method was significantly higher than that from the probe method. The discrepancy between the two methods increases with the gas pressure; in other words, it increases with the optical thickness. In the case that the effect of the radiation trapping is taken into consideration using optical escape factor, the discrepancy becomes moderate. And then, the parameters obtained from line intensity ratio method agree with the probe method within a factor of 2 in the case that the radiation trapping was introduced. In hydrogen-helium mixture plasmas, however, the electron density and temperature obtained with the line intensity method significantly deviated from those with the probe method even if the effect of the radiation trapping was taken into account. Thus, some atomic and molecular processes relevant to the injected hydrogen molecules may change the population distribution of excited helium atoms; the processes involved in the phenomena are currently underway. In the presentation, the comparisons between the two methods in hydrogen-helium mixture plasmas of a small tokamak HYBTOK-II will be also presented.

REFERENCES

1. S. Kajita et al., Phys. Plasmas 13 (2006) 013301.

53 UA061462 A154p

Nonlinear electromagnetic waves in electron-positron plasmas Cramer N.

University of Sydney School of Physics, University of Sydney, NSW 2006, Australia cramer @physics, usyd. edit, au

Plasmas with unequal numbers of electrons and positrons are of interest for pulsar magnetospheres and laboratory pair plasma experiments. Here the dispersion relation for electromagnetic waves in such a plasma is discussed, and the types of nonlinear waves that arise on the various branches of the dispersion curves. An excess of one type of charge carrier leads to circular and elliptical polarization, rather than linear polarization, with a corresponding fundamental difference in the type of nonlinear wave equations. DNLS and KdV equations are applicable to some modes, while modified equations apply to other modes. Trie soliton solutions and gap-solitons are discussed.

54 UA061463 A155p

Effects of Ion Flow Energy on Self-Consistent Double-Layer Formation Due to ECR in a Conversing Magnetic Field

K. Takahashi. T. Kaneko, and R. Hatakeyaraa

Department of Electronic Engineering, Tohoku University, Sendai 980-8579, Japan

Formations of field-aligned potential structures are important issues relating to laboratory, space/astronomy, and fusion-oriented plasmas. The potential structure was observed near an electron cyclotron resonance (ECR) point when an electron cyclotron wave was launched into a Q-machine plasma in a conversing or well-shaped magnetic-field configuration [1]. However, it has not been experimentally proved what decides the potential height of the structure, although the ion flow energy has been expected to affect it. In order to investigate the effects of the ion flow energy on the potential structure, we have developed a novel plasma source for controlling the ion flow energy [2]. On the other hand, we guess that the wave propagation near the ECR point also plays an important role in the structure formation. In previous paper, we reported that the polarization reversal induces the unexpected absorption of the left-hand polarized wave near the ECR point [3, 4]. Thus, it is conjectured that the wave polarization is also important issue in the potential structure formation near the ECR point. Based on these backgrounds, the purpose of the present work is to clarify the detail dynamics of the potential-structure formation in injection of the electron cyclotron waves and relations to the wave propagation. Experiments are performed in Qr-Upgrade Machine of Tohoku University, which has a cylindrical vacuum chamber of 450 cm in length and 20.8 cm in diameter. A conversing magnetic-field configuration can be formed by two series of solenidal coils. An argon plasma, in which the ion flow energy can precisely be controlled [2], is produced in a low magnetic-field side. Microwaves (frequency: 6 GHz, power: 50 W) with m = +1 and -1 modes are selectively launched from the high magnetic-field side by using a horn antenna with a dielectric polarizer. The spatial profiles of space potential, electron density, and electron temperature are measured by movable Langmuir probes after 30 jtsec from the microwave injection through a boxcar averager. The observed spatial profiles of plasma parameters clearly show a double-layer formation near the ECR point in launching the microwave with m = +1 mode, where the electrons are accelerated in the direction perpendicular to the magnetic-field lines and reflected due to the conversing magnetic-field configuration; an electron rich area appears around there. On the other hand, an ion rich area is formed in a high magnetic-field side near the ECR point due to the inertia of the ion flow, because the ions are not affected by ECR. As a result, the potential structure of the double layer is yielded in obedience to the Poisson's equation. It is obviously demonstrated that the potential height of the structure increases with an increase in an energy of the ion flow from the plasma source. Ion energy distribution functions measured by an electrostatic ion energy analyzer indicate that the potential height is self-consistently determined for reflecting the flowing ions and satisfying the charge neutrality in the high magnetic-field side. Moreover, the electron cyclotron wave with m = -1 mode contributes to a double-layer formation around the edge of the plasma column. It is found that the different structure between m = +1 and -1 modes is related to the profile of the wave polarizations.

[1] T. Kaneko, R. Hatakeyama, and N. Sato, Phys. Rev. Lett. 80 (1998) 2602. [2] K. Takahashi, T. Kaneko, and R. Hatakeyama, Appl. Phys. Lett. 88 (2006) in press. [3] K. Takahashi, T. Kaneko, and R. Hatakeyama, Phys. Rev. Lett. 94 (2005) 215001. [4] K. Takahashi, T. Kaneko, and R. Hatakeyama, Phys. Plasmas 12 (2005) 102107.

55 AIC< UA061464 A156p

Regularization Method for Solution of BBGKY Hierarchy of One-Dimensional Infinite Systems T. V. Ryabukha

Institute of Mathematics 01601 Kiev-4, Ukraine Keywords: BBGKY hierarchy; cumulant; regularized solution. PACS: 05.20.-y

Last ten years new functional-analytical methods of investigation of the initial value problem to the BBGKY hierarchy for infinite systems have been developed in the books [1, 2]. Well-known when constructing a solution of the BBGKY hierarchy of such systems, considerable analytical difficulties arise. Until recently, the existence theorems have been proved for one-dimensional systems in the case of a certain class of short-range interaction potentials and three-dimensional case only for hard spheres systems [1]. While constructing of the solution of the initial value problem for the BBGKY hierarchy of the classical systems of particles with the initial data from the space of sequences of bounded functions, one is faced with certain difficulties related to the divergence of integrals with respect to configuration variables in each term of an expansion of the solution [3] (see also [1, 2]). The same problem arises also in the case of the cumulant representation of the solution stated in [4]. We suggest a regularization method for the solution of the BBGKY hierarchy in the cumulant representation. Due to this method, the structure of the solution expansions guarantees the mutual compensation of the divergent integrals in every term of the series. We establish convergence conditions for the series of the solution and prove an existence theorem of a local in time weak solution of the BBGKY hierarchy for the initial data from the space of sequences of functions which are bounded with respect to the configuration variables and by the Maxwellian distribution with respect to the momentum variables.

REFERENCES

1. D. Ya. Petrina, V. I. Gcrasimenko, and P. V. Malyshev, Mathematical Foundations of Classical Statistical Meclianics. Continuous Systems, Second ed., Taylor & Francis Inc., London and N. Y., 2002,352 p. 2. C. Cercignani, V. I. Gerasimenko, and D. Ya. Petrina, Many-Particle Dynamics and Kinetic Equations, Kluwer Acad. Publ., 1997,256 p. 3. D. Ya. Petrina, TMP, 38, No 2, pp. 230-250 (1979). 4. V. I. Gerasimenko, and T. V. Ryabukha, Ukr. Math. J., 54, No 10, pp. 1583-1601 (2002).

This work was supported by the National Academy of Sciences of Ukraine through grant No. 0105U005666 for young scientists.

56 UA061465 A157p

Influence of correlations of the electric field on plasma waves Sokolovsky A.I.* and Stupka A.A.*

'Dnepropetrovsk National University, Physics Faculty, Department of Quantum Macrophysics Physics Faculty Dnepropetrovsk National University, 13 Nauchnaya St., Dnepropetrovsk, 49050, Ukraine [email protected] 1f Quantum Chmmoplasma Laboratory of Quantum Macrophysics Chair of Dnepropetrovsk National University 13 Naukova str, Dnepropetrovsk, 49050, Ukraine

A way of accounting of correlation dynamics of the electric field in the framework of hydrodynamic description of coulomb plasma is proposed. Statistical operator of the system has been constructed on the base of the Bogolyubov reduced description method with accuracy up to the first order in interaction. For simplicity interaction of charged particles was taken only through the longitudinal field.Th e connected system of equations for mass density, velocity, temperature of electrons, averaged field and its binary correlations has been obtained. Microscopic expressions for conductivities are found. Neglecting by spatial dispersion a phenomenon of attenuation of plasma waves connected with influence of correlations of the electric fieldwa s predicted. The work was supported by the State Foundation for Fundamental Research of Ukraine (project No. 2.7/418).

57 UA061466 A158p

Connected oscillations of plasma temperature and correlations of electromagnetic field Sokolovsky A.I.* and Stupka A.A.+

* Dnepropetrovsk National University, Physics Faculty, Department of Quantum Macrophysics Physics Faculty Dnepropetrovsk National University, 13 Nauchnaya St., Dnepropetrovsk, 49050, Ukraine alexsokolovsky ©mail, ru ^Quantum Chromoplasma Laboratory of Quantum Macrophysics Chair of Dnepropetrovsk National University 13 Naukova str, Dnepropetrovsk, 49050, Ukraine

Spatially homogeneous plasma, which consists of a few kinds of neutral and charged particles and electromagnetic field, is studied. Statistical operator of the system has been calculated up to the first order in interaction on the basis of the Bogolyubov reduced description method. Temperature of medium and second correlation moments of the field are considered as reduced description parameters. The linearized closed system of equations for the parameters has been studied. Conductivity of the system was taken in the model of ideal gas. Phenomenon of connected oscillations of the plasma temperature and transversal correlations of the electromagnetic field with the double Langmuir frequency was discovered. The oscillations are a result of energy transfer between the subsystems of plasma and field. Motion of a trial charged particle, which is described by average square velocity and oscillates with the mentioned frequency, is studied too. The work was supported by the State Foundation for Fundamental Research of Ukraine (project No. 2.7/418).

58 UA061467 A159p

Equations for correlations of the electromagnetic field in hydrodynamic plasma Sokolovsky A.I.* and Stupka A.A.+

'Dnepropetrovsk National University, Physics Faculty, Department of Quantum Macrophysics Physics Faculty Dnepropetrovsk National University, 13 Nauchnaya St., Dnepropetrovsk, 49050, Ukraine alexsokolovsky@mail. ru ^Quantum Chromoplasma Laboratory of Quantum Macrophysics Chair of Dnepropetrovsk National University 13 Naukova str, Dnepropetrovsk, Ukraine, 49050

Plasma, which consists of a few kinds of neutral and charged particles and electromagnetic field, is studied. Statistical operator of the system was obtained in the framework of the Bogolyubov reduced description method with accuracy up to the first order in non-relativistic interaction and gradients. The boundary condition of the complete spatial correlations weakening and Peletminskii-Yatsenko model of nonequilibrium system are basis of the consideration. Densities of numbers of particles, common mass velocity and temperature of plasma, averaged electromagnetic field and its binary correlation are reduced description parameters on the system. The closed set of equations for these parameters has been obtained. The work was supported by the State Foundation for Fundamental Research of Ukraine (project No. 2.7/418).

59 UA061468 A160p

Effect of an oblique magnetic field on a plasma sheath consisting two-species positive ions Ghomi H.

Laser Research Institute ofShahid Beheshti University Evin 19839, Tehran, Iran h-gmdashty @ cc.sbu.ac. ir

We consider a magnetized collisionless plasma sheath which is consist of two-species positive ions which have different masses but same ionization ratio (z=l). Numerical results show that under influence of an oblique magnetic field with constant strength the velocity and the density distribution of both ions will experience fluctuationsi n the x-direction (toward cathode) and with increasing the angle of the magnetic field with respect to x-direction these fluctuations will be more intense and the ions will impact to cathode with bigger velocity which in turn has importance in ion implantation methods. Also the length of the sheath will change with changing the magnetic field's direction.

60 UA061469 A161p

Tempposter Simulation of the Sheath Evolution Related to the Target with Grooves Ghomi H.

Laser Research Institute of Shahid Beheshti University Evin 19839, Tehran, Iran [email protected]

We have investigated a detailed two-dimensional simulation of the ion dynamics in the plasma sheath near a target with a rectangular groove during PSII. The normalized potential in the sheath, and ion flux on the surfaces of the groove were investigated. We find that for a small groove, short pulse width, and high potential are usually preferred in order to keep the shape of the plasma sheath conformal with the target and uniformity of the ion fluxo n the wall of the groove. However, Our work shows that long pulse duration and high potential enhance the ion flux uniformity to the floor of the groove.

61 UA061470 A162p

Damping of whistler modes guided by cylindrical plasma structures V. A. Es'kin and A. V. Kudrin

Department ofRadiophysics, University ofNizhny Novgorod 23 Gagarin Ave., Nizhny Novgorod 603950, Russia

We consider the propagation of whistler mode waves guided by axially magnetized cylindrical plasma structures with allowance for absorption of electromagnetic energy. The interest in the subject is motivated by the fact that guided whistler mode waves play an important role in many applications, ranging from space plasma research to radio-frequency (rf) plasma sources used in general plasma physics experiments, plasma processing, etc. For some of these applications, the understanding of the damping mechanisms of modes in the whistler range is crucial. It follows from our previous studies of the guided propagation of electromagnetic waves in plasma channels located in a background magnetoplasma that, at whistler frequencies between the lower hybrid frequency and half the electron gyrofrequency, one should necessarily take into account both electromagnetic whistler mode waves, commonly called helicon waves, and quasi-electrostatic whistler mode waves, also known as Trivelpiece-Gould (TG) waves, which are comprised simultaneously in the modal fields,i n order to correctly determine the properties of guided modes [1, 2]. In this work, we apply the results of the above-mentioned analysis to eigenmodes of a magnetized cold-plasma column located in free space. Losses in the plasma are accounted for by introducing electron collisions. We determine the dispersion properties, damping rates, and field structures of the eigenmodes and discuss how these characteristics depend on the collision rate and the plasma distribution inside the column. It is shown that in the presence of collisional losses, weakly and strongly damped eigenmodes can coexist in the column. Their damping rates are determined by the relative contribution of TG waves to the total modal fields and can vary within relatively wide limits, depending on the plasma parameters. In particular, the collisional damping of weakly damped eigenmodes turns out to be notably greater than that of a pure helicon wave in a homogeneous magnetoplasma. It is established that such features of the mode damping rates are typical of bounded helicon discharge plasmas [3], the wave damping in which has been widely disputed in recent years [3-5]. Similar behavior is found to occur for modes guided by cylindrical enhancements of plasma density surrounded by an unbounded background magnetoplasma, The results obtained are shown to be useful for clarification of the features of the rf power absorption in radially inhomogeneous, collisional magnetized plasma structures capable of guiding electromagnetic waves in the whistler range. Acknowledgments. This work was supported by the Russian Foundation for Basic Research (project Nos. 04-02- 16506-a and 06-02-16716-a).

REFERENCES

1. t G. Kondrat'ev, A. V. Kudrin, and T. M. Zaboronkova, Electrodynamics of Density Ducts in Magnetized Plasmas, Gordon and Breach, Amsterdam, 1999. 2. T. M. Zaboronkova, A. V. Kudrin, M. Yu. Lyakh, and L. L. Popova, Radiophys. Quantum Electron., 45,764-783 (2002). 3. F. F. Chen and R. W. Boswell, IEEE Trans. Plasma Sci., 25,1245-1257 (1997). 4. K. P. Shamrai and V. B. Taranov, Plasma Sources Sci. Technol., 5,474-491 (1996). 5. D. Arnush, Phys. Plasmas, 7,3042-3050 (2000).

62 UA061471 A163p

Whistler wave propagation in a magnetic-field duct P. V. Bakharev and A. V. Kudrin

Department of Radiophy.iics, University ofNizhny Novgorod 23 Gagarin Ave., Nizhny Novgorod 603950, Russia

It has long been known that whistler mode waves can be guided by ducts consisting of enhancements or depletions of plasma density, or combinations thereof (see, e.g., [1, 2] and references therein). In contrast to much previous work which applies to density ducts, there exists very little theory of phenomena caused by the guiding or trapping of whistler mode waves in structures that are formed by variation in other parameters of a magnetoplasma. In this paper we study the guided propagation of whistler mode waves in a constant-density magnetoplasma in the presence of a cylindrically symmetric nonuniformity of an external axial dc magnetic field. Although the whistler wave guidance by such plasma structures, also called magnetic tubes or magnetic-field ducts, was considered for the first time long ago (see, e.g., [3]), earlier studies employed various approximate approaches such as the geometrical optics or the WKB approximation. In the present work, the full-wave approach is used to analyze the features of whistler wave guidance by a cylindrically symmetric enhancement of magnetic field. We consider a cold unbounded magnetoplasma in which the magnitude of an external magnetic field Bo = Bozo is a function, Bo(p), only of distance p from the axis of a cylindrical coordinate system (p, ,z). It is a constant in an inner core p < ao, a constant in an outer region p >a, and decreases smoothly within the duct wall ao < p < a. We analyze what types of guided modes can exist in such a structure and then particularize our analysis to considering a sinusoidal variation in the dc magnetic field between p = ao and p =a with half-period a — ao, giving a maximum magnetic- field gradient half way through the duct wall. We calculate the dispersion characteristics and field structures of modes guided by the described duct in the whistler frequency range. It is shown that this structure is capable of guiding whistler eigenmodes whose properties turn out to be similar to those of density depletions in a uniform magnetic field. Recommendations on the possible observation of modes of magnetic-field ducts in a laboratory magnetoplasma will also be summarized. Acknowledgments. This work was supported by the Russian Foundation for Basic Research (project Nos. 04-02- 16506-a and 06-02-16716-a).

REFERENCES

1. R. A. Helliwell, "40 years of whistlers," in Modern Radio Science 1993, edited by H. Matsumoto, Oxford University Press, New York, 1993, pp. 189-212. 2. I. G. Kondrat'ev, A. V. Kudrin, and T. M. Zaboronkova, Electrodynamics of Density Ducts in Magnetized Plasmas, Gordon and Breach, Amsterdam, 1999. 3. R. N. Kaufman, Radiophys. Quantum Electron., 29,579-585 (1986).

63 A165p UA061472

Synchrotron radiation in electron acceleration through the resonance of high magnetic field and intense laser Liu Hong

Basic Department, Beijing Wuzi University Beijing 101149, P.R.China

Recently the laboratory astrophysics has a long development with the high intensity (), high density (), high electric field ( ) and high pressure ( ) available in intense laser facilities. From the physical parameters of laser-plasma interaction experiments, we found that under the action of circularly polarized ultraintense laser and self-generated axial magnetic field an electron with initial zero velocity can perform a circular relativistic motion. The circulating electron then radiates in the same manner as that in the storage ring of a conventional synchrotron source. Owing to the extremely small orbit radius, the laser-field synchrotron radiation thus generated may be a compact source of radiation pulses at short wavelength and short duration. The exhibiting synchrotron radiation behavior will help to understand some phenomena in HEDP( high energy density physics).

64 UA061'473

Emissive Probe Measurements In A DC Low Temperature Magnetized Plasma In Cylindrical Configuration

A. Marek1, R.P. Apetrei2, S.B. Olenici2'3, R. Gstrein3,1. Pickova1, P. Kudrna1, M. Tich^1, R. Schrittwieser3

'Charles University in Prague, Faculty of Mathematics and Physics, V Holesovickdch 2,18000 Prague, Czech Republic 2Al 1. Cuza University, Faculty of Physics, 11 Carol I Blvd., RO-700506, lasi, Romania 3University of Innsbruck, Institute for Ion Physics and Applied Physics - Technikerstr. 25, A-6020 Innsbruck, Austria

Cylindrical magnetrons are used for plasma generation and thin film deposition. They consist of two coaxial electrodes. The magnetic field is usually parallel to the axis of symmetry. Our experimental system is described in detail e.g. in [1]. The outer electrode has 60 mm diameter and serves as anode, the coaxially positioned cathode has a diameter of 18 mm. The discharge region is limited to a length of 300 mm by a pair of limiters on the cathode po- tential. Our magnetron operates in rare gases at pressures of typically 1-10 Pa. The magnetic field is created by coils and can be varied up to 40 mT. It is parallel to the magnetron axis and axially homogeneous along the dis- charge region. Typical electron densities are on the order of 10 m3. Our experiments were performed in argon. Our contribution consists of two parts: In the first part we focus on the emissive probe technique - particularly on the experimentally observed changes of the electron saturation current of the emissive probe current-voltage characteristic that is caused by the variation of the probe heating current. To our knowledge this phenomenon was not yet systematically studied and explained. According to the theory [2], only the current on the negative side of the characteristic should increase due to the electron emission current which superimposes on the ion saturation current. The electron saturation current should remain unaffected because the emitted electrons are reflected to the probe when the probe voltage becomes positive with respect to the plasma potential. However, in many experiments a variation of the electron saturation current is observed with increasing probe heating. We propose two possible rea- sons for this effect: (a) the space charge around the probe shaft, (b) the change of the work function of the probe material due to the heating. We tried to find sufficient experimental evidence to make a decision between the two possible explanations in the cylindrical magnetron plasma. To that end we used conventional emissive wire probes with three different loop lengths to check on hypothesis (a), and three different materials (W, W [with 0.6%Th], Ta) to check on hypothesis (b). From our experiments follows that the electron saturation current is affected by the space charge effect rather than by the change of the work function since the variation depends on the probe length. For a more conclusive definition of the influence of the probe material and for a parameterisation of the effect of the space charge on the electron saturation current, more detailed experiments will be performed. Similar measurements were done in the non-magnetized plasma of a DP Machine [3] where also a detailed de- scription of the probe set-up is presented. The second part of our contribution is devoted to systematic measurements of radial plasma potential profiles of the magnetron discharge made by emissive probes. These measurements were meant to complement and sustain the results of Langmuir probe measurements. Motivations for this work were discrepancies between the results of our 2D PIC-MCC simulations of the magnetron discharge and Langmuir probe data, particularly concerning the plasma potential profile [4). The emissive probe measurements confirmed the plasma potential profiles derived from Lang- muir probe data that showed relatively narrow anode and cathode fall regions and a broad region of positive column in between.

[1] E, Passoth, P. Kudrna, C. Csanftal, J.F. Behnke, M. Tichy and V. Hefoig,./. Phys. D: Appl. Phys. 30,1763-1777 (1997). [2] M.Y. Ye, S. Takamura, Phys. Plasmas 7, 3457-3463 (2000). [3] R. Gstrein, A. Marek, M. Tichy, P. Kudrna, S.B. Olenici, C. Ionita, P.C. Balan, R. Schrittwicscr, /J'* Int. Cong. Plasma Phys., Kiev, May 22-26,2006, submitted. [4] A. Marck, P. Kudrna, M. Hollk, O. Bilyk, I. Pickova, M Tichy, R.P. Apetrei, Ada Phys. Slovaca 55,461-466 (2005).

65 UA061474 A169p

Stable multisolitary structures in plasmas with nonlocal nonlinearities A.I. Yakimenko*-1, V.M. Lashkin* and O.O. Prikhodkot

* Institute for Nuclear Research NAS of Ukraine, 47 Prospect Nauki, 03680 Kiev, Ukraine 1Physical Department, Taras Shevchenko National University, Prospect Glushkova 2, Kiev 03680, Ukraine Keywords: Solitoos, vortices, nonlinear phenomena in plasmas, nonlinear Schrtklinger equation PACS: 52.35.Mw, 42.65.Tg

Nonlocality of nonlinear media responsei s known to be important in plasmas, where it can be induced by heating and ionization during the wave beam propagation [? ]. The nonlinear wave-wave interaction in plasmas frequently gives rise to the nonlocal nonlinearities [? ]. In the spatially nonlocal media the nonlinear response depends on the wave packet intensity at some extensive spatial domain. An important property of spatially nonlocal nonlinear response is that it prevents a catastrophic collapse which usually occurs in local self-focusing media when the power of the two- or three-dimensional wave packet exceeds some critical value. In the absence of collapse, the competition between diffraction spreading and nonlinear self-action leads to formation of the stationary solitary wave structures - solitons and vortex solitons. Different types of two-dimensional self-trapped localized wave beams have been predicted and experimentally observed in various nonlinear media [? ]. We study stability and dynamics of the single cylindrically symmetric solitary structures and solitonic molecules in plasmas with nonlocal nolinearities. The main properties of the solitons, vortex solitons, and multisoliton complexes are investigated analytically and numerically. The vortices and higher-order solitons show the transverse symmetry-breaking azimuthal instability below some critical power. We find the threshold of the vortex soliton stabilization using the linear stability analysis and direct numerical simulations. The higher-order solitons, which have a central peak and one or more surrounding rings, are also demonstrated to be stabilized in nonlocal nonlinear media. Using direct numerical simulations, we find a class of radially asymmetric, multi-solitary structures and investigate their stability.

REFERENCES

. A.G. Litvak, V.A. Mironov, G.M. Fraiman, and A.D. Yunakovsldi, Sov. J. Plasma Phys. 1,60 (1975). . T.A. Davydova and A.I. Fishchuk, Ukr. Fiz. Zh. 40,487 (1995). . See, e.g., Yu.S. Kivshar and G. Agrawal, Optical Solitons: From Fibers to Pliotonic Crystals (Academic Press, San Diego, 2003) and references therein.

66 A170p UA061475

Collective Modes in Pair Fulierene-Ion Plasma

W. Oohara and R. Hatakeyama

Department of Electronic Engineering, Tohoku University, Sendai 980-8579, Japan

Pair plasmas consisting of only positive- and negative-charged particles with an equal mass have been investigated experimentally and theoretically. Pair plasmas represent a new state of matter with unique thermodynamic property drastically different ftom ordinary electron-ion plasmas. A pair-ion plasma source using fullerenes has been developed [1]. The generation of a pair-ion plasma, consisting of C6o+ and C«i with an equal mass without electrons, is performed using a hollow electron beam in a uniform magnetic field, where electron-impact ionization and electron attachment play a key role. A magnetic-filtering effect is used for the separation of the electrons and the ions. The plasma density is 107—10s cm"3 and the ion temperature is 0.4-0.5 eV. The plasma and floating potentials are almost 0 V same as chamber wall potential, and the static potential structures including sheaths are not formed in the plasma. This is one of important results in the pair-ion plasma. Some theoretical works have already been presented, which are concerned with linear and nonlinear collective modes in non relativistic pair-plasmas [2]. A density modulation is actively excited by a thick annulus in order to investigate collective modes [3,4]. There appear three electrostatic modes propagating along magnetic-field lines: an ion acoustic wave (IAW), an ion plasma wave 0PW)> and an intermediate frequency wave (1FW). The longitudinal collective modes are analogous to those in the ordinary electron-ion plasmas, i.e., IAW and IPW are predicted in the twofluid theory, but IFW is not predicted. The phase difference between the density fluctuations of positive and negative ions changes from 0 to it, and that of IAW strongly depends on the frequency. Some theoreticians have tried to theoretically discuss the property of IFW from the view point of ion surface waves propagating along a plasma-vacuum interface and a spatial/temporal asymmetry [5-7]. However, a quantitative interpretation of IFW has not been done yet. In this pair-ion plasma we cannot completely deny the possibility of electron existence and the disaccord of temperature/mass value of the ions, that could be factors of the asymmetry. The dispersion relation is derived in consideration of the temperature disaccord and the electron existence, and compared with the experimental result.

[1] W. Oohara and R. Hatakeyama, Physical Review Letters, 91,205005 (2003). [2] G P. Zank and R. G Greaves, Physical Review, E 51,6079 (1995). [3] R. Hatakeyama and W. Oohara, Physica Scripta, T116,101 (2005). [4] W. Oohara, D. Date, and R. Hatakeyama, Physical Review Letters, 95,175003 (2005). [5] A. Hasegawa and P. K. Shukla, Physica Scripta, T116,105 (2005). [6] P. K. Shukla and L. Stenflo, Physics of Plasmas, 12,044503 (2005). [7] B. Eliasson and P. K. Shukla, Physical Review B, 71, 046402 (2005).

67 UA061476 A171p

Nonlinear propagation of high frequency electromagnetic wave into the underdense plasma Niknam A. R.*, Shokri B.* and Rastkar A. R.*

'Laser-Plasma Research Institute, Shahid Beheshti University Tehran, Iran

In this work, we studied the interaction of a high frequencyelectromagneti c wave with a plasma taking into account of the ponderomotive force per unit volume acting on plasma electrons. We assumed the plasma is collisionless unmagnetized non-isothermal which occupying the semi-space z>0. We found the nonlinear differential equation for the electric field using the Maxwell and the hydrodynamic equation. The profiles of the electric and magnetic fields deviate from sinusoidal form and the electron density oscillations appear highly peaked.

68 UA061477 A172p

Unconventional Surface Electromagnetic Waves at Plasma-Vacuum Boundary Galaydych V.

V.Karazin Kharkiv National University 4 Svobody sq., Kharkiv 61077, Ukraine [email protected] galaydych @postmaster.co. uk

As is known the surface electromagnetic waves (SEW) can Propagate along surface, which separates two media with the permittivity of different signs. A lot of works devoted to studies and applications of plane SEW. We have shown that new type of SEW can propagate along the boundary of free plasma with vacuum. The properties of these unconventional SEW are presented.The dispersion characteristics, the field distribution and Poynting vector for these waves were obtained. Comparison of properties of conventional and unconventional SEW have been analysed.

69 UA061478 A173p

Kinetic Alfven instability driven by non-uniform currents Siversky T.

Centre for Plasma Astrophysics K.U.Leuven Celestijnenlaan 200 B 3001 Heverlee Belgium [email protected]

In this work we study the instabilities in a magnetized collisionless plasma driven by an electric current along the magnetic field. The kinetic electro-magnetic theory was used. We found that the threshold current velocity for the kinetic Alfven instability can be much smaller than the Alfven velocity if the current has a cross-field gradient.

70 UA061479 A174p

Dissipation range of the anisotropic plasma turbulence

Grigol Gogoberidze

Georgian National Astrophysical Observatory, 2a Kazbegi ave., 0160 Tbilisi, Georgia

Dissipation range of the plasma turbulence in the presence of anisotropic kinetic dissipation is studied. As it is well known the turbulent kinetic energy spectrum of the hydrodynamic turbulence in the far dissipation range decreases exponentially. In the case of plasma turbulence existence of various kinetic mechanisms of dissipation makes the situation much more complicated. For instance, observations of the solar wind turbulence strongly suggest steep power law spectrum of the magnetic field fluctuations for the frequencies higher then ion cyclotron frequency for which kinetic mechanisms of dissipation are dominant. In contrast with viscosity, kinetic dissipation of plasma waves in the presence of background magnetic field is usually strongly anisotropic. In the presented letter we show that in the presence of: (i) anisotropic kinetic dissipation; and (ii) if the nonlinear transfer is governed by the scattering of the plasma waves by low frequency ones, then one should expect scale invariant power law spectrum of the plasma turbulence. It should be emphasized that obtained scale invariant spectrum is not associated with the constant flux of any physical quantity due to the presence of kinetic dissipation. Application of the model to the high frequency part of the solar wind turbulence studied.

71 UA061480 A175p

Theory of Horseshoe Maser Instability

I Vorgul1, R A Cairns1' R Bingham2'3, K. Ronald3, A.D.R. Phelps3, A.W. Cross3, D.C. Speirs3 and S.L. M^onville3

'School of Mathematics and Statistics, University of St Andrews, St Andrews, KYI 6 9SS, UK 2CCLRC RutherfordAppleton Laboratory, Chilton, Didcot, Oxon. OXll OQX, UK 3SUPA Department of Physics, University ofStrathctyde, Glasgow, G4 0NG, UK

When a beam of electrons with a thermal spread moves along converging magnetic field lines, the distribution function evolves into a horseshoe shape in (p\\, px) space. In such a distribution there is a population inversion of particles in perpendicular momentum which results in the plasma being subject to a cyclotron maser instability. There is strong evidence that this type of instability is the source of auroral kilometric radiation1.

The theory of the instability2 indicates that the phenomenon can be scaled to laboratory dimensions, with centimetre rather than kilometre wavelengths, and an experiment to do this has been constructed at the University of Strathclyde3 (see the paper of S D.C. Speirs et al at this conference). Recently we have carried out an analysis of this horseshoe instability in cylindrical geometry4 and have shown that the predicted growth rate is in line with what is seen in simulations3 and sufficient to account for growth of the instability within the dimensions of the experiment. Here we extend the analysis in order to understand in more detail the properties of the dispersion relation and attempt to relate these properties to experimental observations in both the laboratory and space. Dear Theory predicts high growth rate of several spatial modes propagating almost perpendicularly to the electrons motion, with quasi-TE mode structure and sharp spectrum with a resonance at the frequency just below the cyclotron frequency. We shall also consider the field structure for the fastest growing modes in order to compare it with the fields observed in the laboratory and use quasi-linear theory to estimate the maximum energy available to the electromagnetic wave and the extent to which this available energy is extracted in practice.

1. R.E.Ergun, C.W.Carlson, C.W.McFadden et al, Astrophys. J. 538,456 (2000). 2. R.Bingham and R.A.Cairns, Phys. Plasmas 7, 3089 (2000) 3. R.A.Cairns, D.C.Speirs, K.Ronald et al, Phys.Scr., T T116,23 (2005). 4.1.Vorgul, R.A.Cairns and R.Bingham, Phys.Plasmas 12, 122903 (2005).

72 UA061481 A176p

Polarization-Reversal-Induced Absorption of an Axisymmetric Left-Hand Polarized Wave on Electron Cyclotron Resonance

K. Takahashi. T. Kaneko, and R. Hatakeyama

Department of Electronic Engineering, Tohoku University, Sendai 980-8579, Japan

Electromagnetic waves with electron cyclotron resonance (ECR) frequency in magnetized plasmas have been significant research subject for electron heating, plasma production, and so on. Although only a right-hand polarized wave (RHPW) has been considered to be related to the ECR phenomenon for a long time, recent experimental results and theoretical analyses demonstrate that a left-hand polarized wave (LHPW) with axisymmetric azimuthal mode is absorbed near the ECR point due to a polarization reversal from the LHPW to the RHPW [1,2], Here, the greater part of the LHPWs disappear, while a part of the LHPWs is not absorbed and passes through the ECR point, whose mechanisms was not illuminated and has not been released so far. In this paper, we report the difference in the propagation mechanisms between these axisymmetric LHPWs, one of which is absorbed near the ECR point and the other of which passes the ECR point without the absorption. Experiments are performed in QrUpgrade Machine of Tohoku University, which has a cylindrical vacuum chamber of 450 cm in length and 20.8 cm in diameter. The plasma of 6 cm in diameter is produced by a direct current discharge between an oxide cathode and a tungsten mesh anode in low-pressure argon gas and coaxially fills a cylindrical vacuum chamber. The electron density and temperature are 9 x 1010 cm"3 and 2.5 eV, respectively. The LHPW (<*) / 2re = 6 GHz, 150 mW) is selectively launched in the high magnetic-field region by a helical antenna, and propagates toward the ECR point satisfying the condition of ca/m^ < 1, where COKI2K is electron cyclotron frequency. The wave patterns are obtained with an interference method and spatial profiles of the wave power can be measured by a power meter through movable dipole antennas, which can receive each component of the wave electric fields, i.e., Ex, Ey, and B^.

The observed interferometric wave patterns of E% and Ey show that the greater part of the launched LHPW is absorbed near the ECR point due to a polarization reversal from the LHPW to the RHPW. In addition, the other part of the LHPW penetrates the ECR point without suffering the polarization reversal. The radial profile of £z indicates that the axisymmetric azimuthal mode LHPWs with fundamental (n = 1) and second order (n = 2) radial modes are excited in the plasma column. The absorbed and penetrating LHPWs at the ECR point are identified to be a slow wave for n = 2 and a fast wave for n = 1 in comparison with the dispersion relations in bounded plasmas, respectively. In addition, the wave polarizations determined by the dispersion relations are calculated in order to interpret the polarization reversal. It is clarified that the polarization reversal from the LHPW to the RHPW can be theoretically explained by the dispersion relation in bounded plasmas for n = 2. As a result of the polarization reversal, the LHPW with n = 2 is efficiently absorbed near the ECR point. On the other hand, it is found that the fast wave of n - 1 mode keeps the left-hand polarization and is not absorbed by ECR.

[1] K. Takahashi, T. Kaneko, and R. Hatakeyama, Phys. Rev. Lett. 94 (2005) 215001. [2] K. Takahashi, T. Kaneko, and R. Hatakeyama, Phys. Plasmas 12 (2005) 102107.

73 UA061482 A177p

Plasma chaos near the threshold amplitude A. V. Ivanov* and Olga Ivanovat

•School of Physics, The University of Sydney, NSW 2006, Sydney, Australia ^Saint-Petersburg State University of Information Technologies, Mechanics and Optics, Saint-Petersburg, Russia Keywords: Plasma turbulence, multifractal analysis, wavelet transforms PACS: 5Z35.Ra,05.45.-a

Evolution of a monochromatic Langmuir wave of finite amplitude is studied numerically in the phase space using Cheng and Knorr method. Depending on the initial amplitude Ao a wave either damps out if the initial amplitude is below a certain threshold A%, or remains finite if it is assumed above the threshold. In the second case the evolution is divided into two distinct phases: deterministic ("laminar") phase and the stochastic ("turbulent") one. In initial deterministic phase when the wave first ceases to damp and grow, the system obey the power laws typical to a second- order phase transition and the control parameter is (Ao — AQ). After saturation of the growth the laminar phase ceases and turbulent one starts due to trapping of particles in the wave potential. In the turbulent phase the amplitudes of higher harmonics of density follow the scaling (A(m)} <* m-o&±o.02> wf,ere m js the wavenumber. The temporal properties are studied using the multifractal analysis methods. Transport properties are also discussed.

74 UA061483 A178p

Threshold phenomenon for damping of a Langmuir wave of finite amplitude A. V. Ivanov, Iver H. Cairns,* and Olga Ivanovat

"School of Physics, The University of Sydney, NSW 2006, Sydney, Australia * Saint-Petersburg State University of Information Technologies, Mechanics and Optics, Saint-Petersburg, Russia Keywords: Plasma wave damping, threshold phenomena, dynamic critical phenomena PACS: 52.35.Dg,52.35.Ra,05.70Jk,64.60.Ht

Damping of a monochromatic Langmuir wave of finite amplitude is studied numerically using Vlasov simulations. Below a threshold initial amplitude AJ classic Landau damping occurs but above this initial amplitude the wave amplitude first decreases, then grows, and then oscillates irregularly. Close to but above Ag, the characteristic times and amplitudes at which the wave first ceases to damp and grow scale with the difference (Ao —AQ) as power laws analogous to the media undergoing a second-order phase transition. At the critical amplitude the field damps algebraically, A(t) « /"~3'26, Both direct examination of the electron phase space and the power-law indices show that, near the threshold, trapping does not arrest damping or saturate the subsequent growth phase. Instead, arrest of linear damping is found to be a second-order effect due to ballistic evolution of perturbations, resonant power transfer between field and particles, and organization of phase space into a positive slope for the average distribution function fm around the resonant wave phase speed v^.

75 AlSlp UA061484

Space Charge Effects Of Emissive Probes, Investigated In A DP-Machine

R. Gstrein1, A. Marek2, C. Ionita1, P. Kudrna2, S.B. Olenici3, P.C. Balan1, R. Schrittwieser'. M. Tichy2

'University of Innsbruck, Institute for Ion Physics and Applied Physics - Technikerstr. 25, A-6020 Innsbruck, Austria 2Charles University in Prague, Faculty of Mathematics and Physics, V HoleSovickdch 2, 18000 Prague, Czech Republic 3A1.1. Cuza University, Faculty of Physics, 11 Carol I Blvd., RO-700506, lasi, Romania

DP-machines are well-established tools for basic plasma investigations [1]. The Innsbruck DP-machine consists of a vacuum cylinder of 44 cm diameter and 90 cm length. The chamber is separated by a fine-mesh grid. The grid is isolated from the walls and usually biased to about -100 V. In each part of the DP-machine a heated tungsten fila- ment serves as hot cathode for a low-temperature discharge in argon. The inner side of the entire chamber is covered by rows of strong permanent magnets with opposite polarity to increase the efficiency of the discharge. Emissive probes are well-known diagnostic tools for the determination of the plasma potential. The principle is that the probe emits an electron current into the plasma which can be detected as long as the probe voltage is more negative than the plasma potential. In contrast to the conventional cold Langmuir probe this method is insensitive to electrons drifts and beams and does not depend on the electron temperature. We have developed emissive probes that can even be used in magnetised toroidal fusion experiments [2]. A conventional electron emissive probe is real- ised by a half-loop of tungsten, thoriated tungsten or tantalum wire of diameters in the range up to 0,2 mm. The two ends of the half-loop are pulled through the two bores of a double-bore ceramic tube. The loop can be heated to strong electron emission. In this contribution we present systematic investigations on the variation of the current-voltage characteristic with the heating current. An accompanying paper is devoted to analogous investigations in a magnetron discharge [3]. We have tested emissive probes with three different total lengths of the probe wire loop (5 mm, 10 mm and 20 mm), various wire diameters and three materials (W, W with 0,6% Th, and Ta). The rationale of our investiga- tions is related to two observed discrepancies of the emissive probe: • According to simple theory the floating potential of a strongly emitting probe should be identical to the plasma potential. However, even with very strong emission the floating potential remains somewhat below that value the plasma potential as determined by a cold probe (assuming a Maxwellian plasma). This effect seems to be related to a space charge forming around the probe wire even under floating conditions [2,4] which appears because of the usually strong difference between the temperatures of the emitted electrons and the plasma electrons. • Whereas the magnitude of the current on the negative side of the emissive probe characteristic naturally increases due to the electron emission current which superimposes the ion saturation current, the electron saturation current on the positive side should in principle not be affected at all by the electron emission. Nevertheless, many inves- tigations frequently do show an increase of the electron saturation current with the heating. Our investigations show that this effect seems to be related to the length of the probe loop: for longer loops the effect is smaller. We point out, however, that another recent investigation did not show such an effect [5],

[I] RJ. Taylor, K.R. MacKenzie, H. Ikczi, Rev. Sci. Instrum. 43,1675-1678 (1972). 12] R. Schrittwieser, J. Adimek, P. Balan, M. Hron, C. IonifS, K. Jakubka, L. KiySka, E. Martines, J. StOckel, M. Tichy, G. Van Oost, Plasma Phys. Contr. Fusion 44, 567-578 (2002). [3] A. Marek, R.P. Apetrei, S.B. Olenici, R. Gstrein, I. Pickova, P. Kudrna, M. Tichy, R. Schrittwieser, J3"1 Int. Cong. Plasma Phys., Kiev, May 22-26,2006, submitted. [4] M.Y. Ye, S. Takamura, Phys. Plasmas 7,3457-3463 (2000). [5] N. Mahdizadeh, F. Greiner, M. Ramisch, U. Stroth, W. Guttenfelder, C. Lechte, K. Rahbarnia, Plasma Phys. Contr. Fusion 47, 569-579 (2005).

76 UA061485

Transition To Chaos Through A Cascade Of Period Doubling Bifurcations In Plasmas

M. Aflori1, C. lonita2, S. Chiriac1, D. G. Dimitriu1, R. Schrittwieser2

'Faculty of Physics, "Al. I. Cuza" University of lasi, 11 Carol I Blvd., RO-700506 lasi, Romania e-mail: dimilriu(33,uaic. ro 2Inslitute of Ion Physics and Applied Physics, Leopold-Franzens University of Innsbruck, 25 Technikerstr., A-6020 Innsbruck, Austria; e-mail: Iioman.Schriftwieser(a)uibk. ac. al

Multiple double layers are complex nonlinear potential structures in plasmas, consisting of two or more concen- tric double layers attached to the anode of a glow discharge or to a positively biased electrode immersed into plasma. They appear as several bright and concentric shells attached to the electrode. The axial profile of the plasma poten- tial has a stair steps shape, with potential jumps close to the ionization potential of the used gas atoms. Here we present new experimental results on the transition to chaos of the plasma conductor when such a multi- ple double layer structure performs a complex nonlinear dynamical evolution. The experiments were performed in a plasma diode, using argon as working gas at a pressure of about S-10"3 mbar. The plasma density was about 108 - 109 cm"3. A tantalum disk electrode was inserted into the plasma and biased positively with respect to the unper- turbed plasma potential. The dynamics of a simple double layer, which starts at high values of the potential applied to the electrode, con- sists in periodic disruptions and reformations of the structure in front of the electrode. At every disruption of the double layer structure, bunches of electrons are set free which can trigger an ion-acoustic instability in the plasma conductor. When a multiple double layer structure passes into a dynamic state, a more complex behaviour was re- corded. The constituent double layers start their proper dynamics one by one with the increase of the potential on the electrode, the whole dynamics of the plasma conductor being a superposition of these individual dynamics. Simulta- neously with every new dynamical start of the double layers, a period doubling bifurcation was recorded in the static current-voltage characteristic of the electrode. Every jump of the current in the static characteristic is associated with hysteresis, which appears at the gradual decrease of the potential of the electrode. The FFT's of the recorded oscilla- tions of the current collected by the electrode show the appearance of new sub-harmonics of the fundamental fre- quency simultaneously with every period doubling bifurcation. After a cascade of three such period doubling bifur- cations, the plasma system passes into a chaotic state. A comprehensive nonlinear dynamic analysis of the recorded signals was performed, offering an excellent insight into the physical mechanism of the investigated phenomena.

77 UA061486 A183p

Spin-Polarized Electrons in Quantum Dots Simulated by Classical Mapping Totsuji Hiroo

Graduate School of Natural Science and Technology Okayama University Tsushimanaka 3-1-1, Okayama 700-8530, Japan totsuji@elec. okayama-u. ac.jp

Analysis of the quantum system of electrons is still a difficult task even for small systems. In the case of homogeneous system, there has been proposed a method to map the quantum system to a classical one with appropriate temperature and additional spin-dependent interaction which reproduces results of quantum simulations to a good accuracy. We apply this mapping and perform molecular dynamics for finite systems of confined two-dimensional electrons. The results will be useful in applications of quantum dots to "spintronics".

78 UA061487 A184p

New results on 3D collisionless magnetic reconnection D. Borgogno*, D. Grasso*, F. Porcelli*, F. Pegorarot and D. Farina**

'Burning Plasma Research Group, Politecnico di Torino, Italy ^Dip. Fisica, Universita di Pisa, Italy **IFP, CNR, EURATOM-ENEA-CNRAssoc, Milano, Italy

The nonlinear behaviour of threedimensional (3D) spontaneous magnetic reconnection phenomena is described on the basis of a collisionless fluid model in a slab geometry, assuming a strong constant guide field in one direction [1]. By high spatial resolution numerical simulations, we have investigated the evolution of multiple helicity perturbations in presence of an initial Harris-type equilibrium magnetic fieldperpendicula r to the guide field.A t first,thes e simulations confirm the results concerning the early nonlinear phase of the 3D reconnection process obtained with a periodic equilibrium configuration [2]. Then, the new equilibrium adopted here allow to extend the analisys to the long term evolution phase. In particular, we examine the effects of the third dimension on the spatial distribution of the current density and vorticity layers, that tipically form in collisionless regimes [3, 2], for different value of the electron temperature, The relation between the chaotic behaviour of the magnetic fieldlines , due to the reconnection process, and the current and vorticity structures is discussed. Finally, the problem of the definition of the reconnection rate in three dimensions is addressed.

REFERENCES

1. T.J. Schep, F. Pegoraro, B.N. Kuvshinov, Phys. Plasmas., 1,1994, pp.2843 2. D. Borgogno, D. Grasso,F. Califano, F. Farina, F. Pegoraro, F. Porcelli, Phys. Plasmas., 12,2005, pp. 032309 3. E. Cafaro, D. Grasso, F. Pegoraro, F. Porcelli, A. Saluzzi, Phys. Rev. Lett., 80,1998, pp. 4430

79 UA061488 A186p

Self-consistent Electromagnetically Driven Langmuir Turbulence Kochetov A.

Applied Physics ofRAS, Nizhny Novgorod Russia, Nizhny Novgorod, Vl'yanova St. 46, Russian Federation 603950 [email protected]

It is known that electromagnetically driven strong Langmuir turbulence gives rise to an essential electromagnetic wave collisionless damping in turbulent plasma regions and corresponds to modification of the real part of propagation constant as well. It leads to the possibility of incident electromagnetic wave penetration into bounded layer of overdense plasma. The study of self-consistent penetration dynamics due to strong Langmuir turbulence drive by an incident electromagnetic wave by numerical simulations is a specific feature of presented work.

80 UA061489 A187p

Acceleration Of Ions In Beam Plasma Discharge At a Low Magnetic Field. Coordination Of Energy Distributions Of Electrons And Ions

N. V. Isaev and E. G. Shustin

Institute of Radio Engineering and Electronics ofRAS, Moscow

Keywords: low temperature plasma; electron beams; beam plasma discharge; ion flow; experiment PACS: 52.40.Mj

In [1] a phenomenon of stable acceleration of ions in beam plasma discharge at a low magnetic field up to energies, on the order exceeding a thermal energy of electrons is revealed experimentally. The radial current of high energy ion component makes an essential part of a total current of ions escaping the region of discharge, and the current density is inversely proportional to distance from a discharge axis. It means that these are the ions originated in axial area of discharge that are accelerated. In the report [2] the results of computer simulation of beam instability development at parameters of a system, close in those in [1] are represented. The effect of formation of paraxial area of plasma with highly heated electrons is detected. Its high electrostatic potential determines acceleration of ions from this area to peripherals of discharge. For verification of conclusions of numerical experiment the measurements of a velocity distribution function of electrons escaping area of discharge to its collector, together with energy distribution of ions which are running out from discharge on a normal to an axis are carried out. The effect of essential heating of electrons of plasma in paraxial area is detected in those regimes, when the acceleration of ions is observed. The temporal and space structure of high- frequency oscillations (in range co-ctv) generated in discharge is researched. The effect of accumulation of a field of regular oscillations is detected in the region of injection of a beam and their stochastisation in process of propagation along the axis of system. The results of physical experiments qualitatively correlate with the data of computer simulation. References 1. N. V. Isaev, A. I. ChrmT, E. G. Shustin. Fiz. Plazmy 30, 292-297 (2004) [Plasma Phys. Rep. 30,263 (2004)] 2. V.P.Tarakanov, E.G. Shustin. Dynamics of beam instability in a bounded volume of plasma: numerical experiment. Report on this conf.

81 UA061490 A188p

Electromagnetic Non-Symmetric Wave in Cylindrical Waveguide Structure Partially Filled by Magnetized Dissipative Non-Uniform Plasma Sporov A.

Karazin Kharkiv National University 31 Kurchatov av., Kharkiv 61108, Ukraine [email protected]

This report is devoted to the investigation of phase characteristics, attenuation coefficient and spatial structure of electromagnetic dipolar high frequency wave, which propagates along cylindrical waveguide partially filled by non- uniform dissipative plasma. External steady magnetic field is directed along the axis of the waveguide structure. It was considered the case when plasma density and wave properties vary slightly along the plasma column. In the framework of approach considered it was find the regions where wave can maintain stable discharge in diffusion controlled regime and axial distribution of plasma density in such discharge.

82 UA061491

A190p

On the relativistic ponderomotive force V.P. Milantiev and S.P. Stepina Russia, 117198 Moscow W198, ul. Miklukbo-Maklaya, 6 Peoples' Friendship University of Russia [email protected]

With the help of the Bogolubov averaging method the general expression for the ponderomotive force of the strong quasimonochromatic wave acting on the relativistic charged particle is obtained. Quasimonochromatic wave is considered in the approximation of geometrical optics. External magnetic field is allowed. The features of relativistic ponderomotive force are studied. Some new effects are found. Particular expressions in the cases of the pure longitudinal wave and of the pure transverse electromagnetic one are considered. The comparison with the known results is performed.

83 UA061492 A191p

Color Collective Modes and Linear Landau Damping in a Quark-Gluon Plasma

G. Murtaza(1), G. Abbas(1>2), M.T.Afzal(1>2), K.Saleem°'2) and H. A. Shah(2)

1. National Centre for Mathematics and Salam Chair, GC University, Lahore 54000, Pakistan 2. Department of Physics, GC University, Lahore 54000, Pakistan

The semiclassical kinetic approach of Vlasov model along with the Yang-Mills equation in a covariant gauge is used to study Quark-Gluon Plasma. We derive linearized Vlasov kinetic equation for perturbed distributions for the quark, anti-quark and gluon plasma species and obtain dielectric response function in terms of the polarization tensor. Then we derive color collective modes for both isotropic and magnetoactive plasmas. Specifically applying temporal axial gauge we obtain dispersion relations for both parallel and perpendicular propagation employing ultrarelativistic Maxwellian distribution and the Fermi-Dirac. We also examine linear Landau damping for isotropic as well as anisotropic distributions. We find that for extreme relativistic (the thermal speed of the plasma species equals the velocity of light) plasma linear Landau damping does not show up in either case. However in moderately strong relativistic case damping arises. If the momentum distribution is allowed to have anisotropy of the form p = TJp2 +tj(jp.z)2 , where £ is the anisotropy strength parameter and z is the direction of collision axis as in the heavy ions collision experiments, damping also becomes £ dependent. As £ increases, damping reduces, goes to zero at a critical value and then turns into growth. We also investigate the effect of the rest mass of the plasma species on damping and find that the mass correction significantly changes the damping effect. To be specific, for large values of k damping is suppressed and at a particular value it transforms into growth, though the absolute value of growth remains rather small.

84 UA061493 A192p

Influence of an Upper-Hybrid Pump on Temperature Relaxation Process in a Magnetized Plasma

V. N. Pavlenko and V. G. Panchenko

Institute for Nuclear Research of the National Academy of Sciences of Ukraine, Prospekf Nauki, 47, Kyiv, 03680, Ukraine

Investigations of the temperature relaxation process between electrons and ions in plasmas are important for plasma diagnostics, measurements of the efficiency of high-frequency pump power dissipation, and for plasma heating. The theory of temperature relaxation was developed in Refs. [1-3] for an isotropic and magnetized plasma and also for a plasma subjected to external electromagnetic radiation. It has been found in [4] that a high-frequency electrostatic field close to the lower-hybrid resonant frequency has a significant influence on the relaxation rate between the electron and ion temperatures in magnetized uniform plasma. In the present report on the basis of kinetic fluctuation theory, the relaxation process between the electron and ion temperatures in a magnetized homogeneous plasma a high frequency pump is considered. The case when the external upper-hybrid pump wave decays into daughter and ion-acoustic waves in a plasma is investigated. The situation when an upper-hybrid pump wave parametrically excites modified convective cells is also analyzed. The inverse relaxation time in the regime when the turbulent fluctuationsar e developed is calculated for these cases and its dependence on the pump wave and the plasma parameters is obtained.

REFERENCES

1. I. Spitzer, Physics of Fully Ionized Gases, New York, Interscience, 1962. 2. S.IchimaruandM.N.RascabMh,Phys. Fluids 13,2778(1970). 3. V. A. Puchkov, Vestn. MGU16,377 (1975). 4. V. N. Pavlenko, V. G. Panchenko and S. M. Revenchuk, Sov. Phys. Plasmy 12,69 (1986).

85 UA061494 A193p

New direct simulation method for the Boltzniann equation with long range forces and for the Landau equation

Potapenko I.F., Bobylev A.V.*,Mossberg E.*

Keldysh Institute of Applied Mathematics ofRAS, 125047, Moscow, Miusskaya sq.4 *Karlstad Uneversity, Department for Mathematics, 651 88, Karlstad, Sweden Keywords: Coulomb collisons,nonlinear kinetic Landau equation.relaxation, direct simulation method PACS numbers: 52.65.Ff; 52.55.Dy; 52.65.-y

The starting point for this work was the paper [1] by Bobylev and Nanbu, where the key ideas on how to use DSMC (Direct Simulation Monte Carlo) methods for long range forces (corresponding to infinite scattering cross-sections!) were introduced. We develop these ideas and construct a simple and fast algorithm for simulation of collisional processes based on the Landau-Fokker-Planck equation describing Coulomb interaction as well as dipole interaction. The applications of the Landau-Fokker-Planck equation in plasma physics are well known. Today, this is probably the most efficient numerical scheme for realistic three-dimensional problems. In the case of spatially inhomogeneous plasmas, this algorithm can be combined with existing particle methods for Vlasov-Maxwell equations in a natural way.

In order to study the accuracy of the method and the optimal choice of its parameters, we perform a detailed comparison with results obtained by fully conservative finite difference schemes [2]. The DSMC scheme is in turn used to verify the accuracy of the standard approximations with isotropic Rosenbluth potentials in two-dimensional finite difference computations.

We present a series of numerical experiments related to various spatially homogeneous problems, in particular the classical problem of electron momentum relaxation,relaxation of a monoenergetic ion beam to equilibrium. References 1. A.V. Bobylev and K. Nanbu, Phys. Rev E., 61,4576-4586 (2000) 2.1.F. Potapenko, A.V. Bobylev, C.A. de Azevado, and A.S. de Assis, Phys. Rev B., 56, 7159-7165 (1997)

86 UA061495 A194p

Reflectivity of low energy photons from one and two dimensional rare hot quantum and classical plasmas

S. P. Tewari* and Jyoti Sood#

"Department of Physics & Astrophysics, University of Delhi, Delhi-110007, INDIA. "Department of Physics, Panjab Univeristy, Chandigarh -160014, INDIA.

Keywords: A. Quantum wells; D. Dielectric Response; D. Photon interaction; D. Optical properties PACS codes: 51.70.+f; 61.80.Ba

Reflectivity of low energy photons from wave vector dependent plasma modes present in one and two dimensional rare hot quantum and classical one component plasmas has been computed. The computations have been made for different densities - linear in ID and areal in 2D at various temperatures to bring out the difference between quantum and classical plasmas. The reflectivity.R for photons incident normally on a low dimensional plasma at finite temperature, can be described in terms of Fresnel's expression connecting reflectivity to the real and imaginary parts of refractive index of the material which in turn is related to the complex dielectric function of the substance. The reflectivity measurements at finite temperature show an energy dependent structure. It turns out that the effect of Landau damping is quite significant amongst other results.

87 rren UA061496

Intermittency like Phenomena in Plasma Turbulence

P.K. Kaw

Institute for Plasma Research, Bhat, Gandhinagar 382 428 INDIA

Intermittency like phenomena are ubiquitous in strong plasma turbulence. However, they significantly differ from conventional hydrodynamic intermittency effects. We review examples of intermittency in MUD and EMHD models of plasma turbulence and show that they have strong similarities to hydrodynamic intermittency. The presence of some natural scales in the equations such as the Larmor radius or skin depth leads to novel intermittency effects. An outstanding example is the Hasegawa Mima equation. We show numerical work by earlier workers exhibiting examples of coherent structures generated because the transfer rate in k space is different on two sides of a characteristic scale. The possibility of wave propagation and wave wave interaction effects lead to further interesting possibilities. We show examples from drift wave zonal flow dynamics and whistler wave magnetosonic wave interactions where such interactions may lead to formation of coherent structures and new kinds of intermittency effects.

88 UA061497 ITB12

Experimental and theoretical investigations of the role of microturbulence and electric fields m the establishment of improved confinement in tokamak plasmas through inter-machine comparisons

GuidoVanOost etal.

Department of Applied Physics Ghent University B-9000 Gent, Belgium

Over the past decade new regimes of tokamak operation have been identified, whereby electrostatic and magnetic turbulence responsible for anomalous transport, can be externally suppressed, leading to improved confinement. Although turbulence measurements have been performed on many confinement devices, the insight gained from these experiments is relatively limited. To make further progress in the understanding of plasma turbulence in relation to improved confinement and transport barriers, an extensive experimental and theoretical research programme has been undertaken. It focuses on the correlations between on the one hand the occurrence of transport barriers and improved confinement in the tokamaks TEXTOR and T-10 and on the smaller-scale tokamaks FT-2, TUMAN-3M and CASTOR, and on the other hand electric fields, modified magnetic shear and electrostatic and magnetic turbulence using advanced diagnostics with high spatial and temporal resolution. This is done in a strongly coordinated way and exploiting the complementarity of TEXTOR and T-10 and the backup potential of the other three tokamaks, which together have all the relevant experimental tools and theoretical expertise.

89 UA061498 ITB21

Formation of transport barriers in helical systems.

E.D.Volkov, V.L.Berezhnij, V.V.Chechkin, L.I.Grigor'eva, A.E.Kulaga, A.P.Litvinov, Yu.K.Mironov, V.V.Nemov, V.L.Ocheretenko, O.S.Pavlichenko, I.B.Pinos, V.S.Romanov, T.E.Shcherbinina, A.I.Skibenko, A.S.Slavniy, E.L.Sorokovoy, I.K.Tarasov, S.A.Tsybenko.

Institute of Plasma Physics, National Science Center "Kharkov Institute of Physics and technology ", Kharkov, Ukraine

Many publications indicate that the formation of transport barriers in toroidal devices take place in the vicinity of low order rational magnetic surfaces (RS). It is necessary to note that the environs of RS have very important peculiarities. In particular, a stochastic layer of magnetic field lines forms instead of separatrix which must separate the island surfaces from the adjacent to them non-island surfaces in stellarator magnetic configurations. The presupposition was made that the radial electric field profile would have a sharp change on the width of stochastic layer near RS in the case of collisionless longitudinal motion of electrons in this layer. Experimental data obtained on the Uragan-3M torsajron and presented in this report are in a good agreement with this presupposition. The results of experiments on other helical systems are discussed in comparison with data on the Uragan- 3M torsatron. It is shown, that the number of dependences (the threshold power and density, the time of barrier formation, the localization of radial electric field shear layer) are in good agreement with above mentioned presupposition

90 UA061499 ITB22

|MHD flow layer formation at boundaries of magnetic islands in tokamak plasmas J.Q. Dong, Y.X. Long, Z.Z. Mou, and J.H. Zhangj Southwestern Institute of Physicsj [PX). Box 452, Chengdu7 CEma

Thejmpprtant roles played by flows with shear 3a magnetically confined toroidal plasmas (tokaroak'sluid stellerators etc) have Seen highly appreciatecTsince The 3iscovery~tEarTIiey jmppress lirTomalous drTFusioTiproduan^ turbulence and lead to confmemenfTmprovement, ^uch as low to high confinement mode transition and internal transport barrier (ITB) for-| rriatio'£rT\TO"lin^sljflIow"Txa^e"esg¥nliially been considered' in {E^t^ieTofTur^nJelac&^How interaction. The first is mean flows that are creafelTEy'ou'tside sourceFsuch as neutron beam injection,"rltdloTfe^Scy^aVSTaimcHing and biased voltage appIicitlorTetc7,"or"by valuation of plasma equilibrium parameters ( density, temperature etc.). Temporal variation of jthe mean flows is usually much slower that turbulence correlation rate and, therefore, they may be treated as constant in time. Spatially, the mean flows change slowly or even keep constant] m azimuth directions. The second is zonal flows that emerge from nonlinear interaction of] turbulence fluctuations themselves. The zonal flows may oscillate with frequencies lower than that of the ambient turbulences but much faster than mean flow variation rate. They have toroidal and poloidal symmetries. In radial direction, both the mean and zonal flows vary with scale lengths comparable to turbulence correlation lengths. Theory and simulations indicate that plasma mass, velocity and energ}' diffusions across magnetic- flux surfaces may be regulated by zonal flows in absence of mean flows. In addition, experimentally observed ITBs and externaftransport- barriers "(ETBiJ in advanced tokamak discharges are believedlo result from flow suppression of turbulent transport. Nevertheless, theory on creation mech- (anisms 6TTEe~flows at the positions and times of, especially, lTB~formation is still under development. fflBl) flow layers are demonstrated to form at'Wundane~s"oTrhaRnetic islands from non-j linear development of tearing modes in tokamak plasmas inllu"s~wor1c7~Tlie~shearea~IIoNV^ ,are shown to have ^desirable characteristics ( lying just outside the magnetic islands), and Sufficient levels required for ITB formation. Dependences of amplitude and shear of the flow velocity, as well as of the layer formation time scale on plasma parameters (electron viscos-j ity, resistivity) and characteristics of roa-grtetjcconfiguration s (magnetic shear and separation of resonant rational surfaces) axe presented. Possible correlation between the layer forma-| tion and triggering of experimentally observed ITBs, preferentially formed in proximities ofj rational flux surfaces of low safety factors, is discussed.

91 UA061500 ITB23

Relaxation Oscillations and Transport Barriers Dynamics in Tokamak Edge Plasmas

Peter Beyer,

University of Provence Marseilles, France

Transport barriers at the plasma edge are key elements of high confinement modes (H-modes) in fusion devices. These barriers, characterized by a local steepening of density and temperature gradients, are strongly linked to shear flows. The latter reduce significantly turbulent heat and particle transport. During a transition from low to high confinement (L-H transition), an edge transport barrier builds up spontaneously. A barrier can also be produced by an externally driven ExB shear flow via biasing techniques. In the most promising operational regime of future reactors, the edge transport barrier is not stable but relaxes quasi-periodically. During such fast relaxation events, turbulent transport through the barrier increases strongly and the pressure inside the barrier drops. Thereafter, the barrier builds up again on a slow, collisional time scale. These relaxation oscillations are linked to so called edge localized modes (ELMs) which are believed to be magneto- hydrodynamical (MHD) modes driven by the edge pressure gradient (ballooning) and/or the edge current (peeling). The basic physical mechanism underlying these kind of relaxation oscillations is not yet understood. In particular, there is no explanation why the plasma, instead of remaining in a statistically stationary state close to pressure gradient or edge current stability limits, crosses these limits quasiperiodically. In the present work, we investigate the relaxation dynamics of transport barriers at the tokamak edge using a reduced model as well as 3D simulations of resistive ballooning turbulence, where the transport barrier is generated by an externally imposed sheared flow. Quasi periodic relaxation oscillations of transport barriers associated to strong peaks in the turbulent flux are observed in these simulations. These oscillations persist even when the poloidal flow profile is frozen (i.e. with a stationary mean flow and no zonal flows).

92 UA061501

A new paradigm for RFP magnetic self-organization: results and challenges

Piero Martin

Consorzio RFX- Associazione Euratom-Enea, Padova, Italy University of Padova, Department of Physics [email protected]

The synergy between theoretical and experimental work has allowed to introduce a new paradigm for the description of the self-organized reversed fieJd pinch (RFP) configuration, based on the Single Helicity (SH) dynamo [1,2]. This theory provides a description of the RFP dynamics, where the SH dynamo is laminar and chaos-free. The SH dynamo electric field is of electrostatic nature, it is driven by an individual m=l (resistive kink- tearing) MHD instability, which causes a helical deformation of the magnetic equilibrium, and is sustained by a helical plasma flow. SH is a fascinating theory, a neat evidence of plasma self-organization; it is appealing also from a confinement point of view, since a SH RFP configuration can be sustained without magnetic chaos. This talk, after an overview of the main theoretical aspects of SH, will focus on the experimental evidence, which supports this new paradigm. While a pure SH state has not been reached, yet, there are several experimental results in all the major RFP devices, which show RFP plasma states with helical features and a quasi-SH (QSH) dynamo. These QSH plasmas are topologically different from the standard multiple helicity RFP: the experimental spectrum of modes is peaked around one dominant instability. This dominant mode produces a helical coherent structure, which is observed in the plasma core with SXR tomography. A detailed description of this experimental helical topology will be provided [3]. The dynamo electric field in QSH plasmas has been recently experimentally estimated for the first time. It is quasi- stationary, it is driven by the dominant instability and the associated helical flow, and it is found to be consistent with predictions of 3-d MHD codes [4]. These experimental observations provide a strong indication that QSH is the precursors to the theoretically predicted pure helical RFP state. Test particle modeling using the full magnetic field indicates that transport within this dominant island is drastically reduced [5] and is consistent with experimental observation. Predictions on transport in SH states have also been made, and they lead to extremely interesting perspectives, as significant improvement in the confinement time is predicted. Preliminary experiments on active control of QSH states in the EXTRAP T2R RFP device have been realized, which show that a helical deformation could be induced starting from a MH plasma. This highlights the importance of a proper magnetic boundary, and suggests that its active control might facilitate the transition to pure SH plasmas. The renewed RFX-mod device, equipped with 192 active coils, each independently powered and covering the whole plasma surface, offers a very promising tool for the active control of the QSH state, hopefully leading closer to pure SH plasmas. RFX-mod is now in operation. Experiments on SH are on-going and new results are expected in this direction in the near future.

[1] D. F. Escande, P. Martin, S. Ortolani, et al.,Phys. Rev. Lett. 85,1662-1665 (2000) [2] D. Bonfiglio, S. Cappello, and D. F. EscandeJPhys. Rev. Lett. 94,145001 (2005) [3] P. Franz, L. Marrelli, P. Piovesan, et al., Phys. Rev. Lett. 92,125001 (2004) [4] P. Piovesan, D. Craig, L. Marrelli, S. Cappello, and P. Martin,Phys. Rev. Lett. 93, 235001 (2004) [5] I. Predebon, L. Marrelli, R. B. White, and P. Martin, Phys. Rev. Lett. 93,145001 (2004)

93 UA061502 ITB31

2-D images of heat transfer during driven reconnection processes in magnetically confined plasmas

H. K. Park

Princeton Plasma Physics Laboratory, Princeton University, Princeton, NJ, U.S.A

High resolution (temporal and spatial) 2-D images of electron temperature fluctuations measured by a novel ECE Imaging (ECEI) diagnostic system [1] were employed to study the physics of the m/n^I/l mode (sawtooth oscillation) [2] in TEXTOR tokamak plasmas. The system has 16 (vertical) x 8 (horizontal) sampling volumes arranged in a 2-D matrix of 16 cm (vertical) x 7 cm (radial) with the time resolution of ~5 usec. The fluctuation quantities are relatively calibrated to the averaged value obtained with a long integration time and the intensity of the images is represented by b"YJ

  • , where To is the electron temperature, < > is the time average. The experimentally measured 2-D images are directly compared to the expected 2-D patterns of the plasma pressure (or electron temperature) from prominent theoretical models developed for the m=l mode (sawtooth oscillation) over the last three decades. The experimentally measured 2-D images are only partially in agreement with the expected patterns from each model: the observed pressure driven mode at the low field side during the initial stage of the reconnection process is similar to that of the ballooning. mode model f3] but the observation of the pressure driven mode at the high field side contradicts with this model. The evolution of the internal magnetic field structure based on the decay/growth of the hot spot/island before the crash phase partly resembles that of the full reconnection model [4. S]. The highly collective behavior of the heat flow pattern observed during the crash phase resembles that of the full reconnection mofef [4, 5] and suggests that the global stochasticity of magnetic field introduced by the ballooningmode model [3] is not the dominant mechanism for the core heat transport. The fact that the time evolution of the 2-D images of the hot spot/island does not resemble those from the quasi-interchan^e model [6]which is based on the magnetic instability suggests that pressure driven instabilities are dominant over magnetic instabilities in the m/n=l/l mode.

    This work is supported by the US DOE contract Nos. DE-AC02-76-CH0-3073, DE-FG03-95ER- 54295 and W-7405-ENG-48 and NWO and EURATOM.

    [1] H. Park et al., Rev. Sci. Instrum. 75, 3875 (2004) [2] H. Park et al., to be published in Phys. of Plasmas (May, 2006) [3] Y. Nishimura et al., Phys. of Plasmas, 6,4685 (1999) [4] B.B. Kadomtsev, Sov. J. Plasma Phys. 1,389 (1975) [5] A. Sykes and J.A. Wesson, Phys. Rev. Lett. 37,140, (1976) [6] J.A. Wesson, Plasma Phys. Control. Fusion 28,243 (1986)

    94 UA061503 ITB32

    Experimental and theoretical analysis of the excitation of error field modes by the dynamic ergodic divertor on the TEXTOR tokamak

    Y. Kikuchi

    Instilutfuer Plasmaphysik, Forschungszentrum Juelich GmbH, D-52425 Juelich, Germany

    The error-field penetration process into a rotating tokamak plasma has been studied on the TEXTOR tokamak. In the TEXTOR tokamak a set of external perturbation coils, the so called Dynamic Ergodic Divertor (DED). are installed [1,2]. The unique feature of the DED is the capability to apply rotating helical magnetic perturbation fields with a frequency of up to 10 kHz. The penetration of the perturbation field was found to excite a tearing mode when the amplitude of the DED exceeds a certain threshold and to lead to a locked tearing mode by the static DED. The threshold amplitude depends strongly on the base mode number of the DED, the plasma density, the heating scenario, the plasma rotation and the phase velocity of the DED [3]. Remarkably, it is found that the threshold for the mode onset is asymmetrical during co- and ctr-iniected tangential neutral beam, although the absolute value of the rotation velocity is the same, only the direction is changed. In order to understand the underlying physics, a single fluid MHD simulation code has been developed, taking into account the plasma resistivity and viscosity [4]. The code reproduces the localization of the induced current at the resonance surface and predicts a vortex structure of the velocity field near the resonance layer. Moreover, the observed perturbation field profiles in the HYBTOK-II tokamak plasma [5, 6] can be reproduced by the present code. Likewise, the bifurcation of the penetration process from the suppressed to the excited state is obtained bv a quasi-linear approach taking into account the modification of the equilibrium current and the plasma rotation profiles due to the perturbations. The comparison with the above experimental results on TEXTOR will be discussed.

    References: [1] K. H. Finken et al., Phys. Rev. Lett. 94 (2005) 015003. [2] R.C. Wolf et al., accepted for publication in Nucl. Fusion. [3] H.R. Koslowski, et al., Proc. 31st EPS Conf., London (2004) PI. 126. [4] Y. Kikuchi et al., to be presented in 32nd EPS Conf., Tarragona (2005) PI. 114. [5] S. Takamura, Y. Kikuchi et al., Nucl. Fusion 43 (2003) 392. [6] Y. Kikuchi et al., Nucl. Fusion 44 (2004) S28.

    95 UA061504 ITB33

    High plasma current and high triangularity operations in the JET tokamak

    R. J. Buttery and JET-EFDA contributors1

    EURATOM/UKAEA Fusion Association, Culham Science Centre, 0X14 3DB, UK.

    Keywords: Fusion, plasma, ITER, JET PACS: 52.55.Fa

    An extended upgrade programme of the JET facility is underway, in order to prepare the operation of the next step tokamak fusion experiment, ITER, which will operate with burning fusion plasmas at the power plant scale. To prepare for this, optimisation of the plasma configuration is a vital, to ensure high energy confinement and stability with tolerable heat loads to the plasma facing components. A critical aspect is the size and distribution of the heat loads in the "divertor" - the part of the device where energy coming out of the plasma is channelled onto special tiles, designed to withstand high heat loads while avoiding impurity influxes back into the plasma. In particular, the highest heat loads are generally observed to be due to sudden losses of energy in the edge regions of the plasma during events termed "edge localised modes" (ELMs).

    To understand how to keep these heat loads at acceptable levels while reaching the highest possible fusion power in ITER, a new divertor shape was recently installed in JET. This permits configurations that have a much more triangular cross-section, enabling a very close match to the plasma shape of ITER. Recent experiments have shown that by operating with high plasma shapes, and suitably adjusting other parameters, then more energy can be ejected smoothly between the ELMs, via more continuous turbulent processes that lead to a far more acceptable heat load in the divertor. Indeed under certain conditions, the ELM events themselves can also be made more benign and less frequent. However, the exact plasma conditions to achieve this are critical, as without careful control, the high plasma stored energy associated with high current and triangularity operation can also lead to very large ELM events with high heat loads to plasma facing components.

    The major objective of experiments with the new divertor is to assess and resolve the physics issues behind developing ITER scenarios with high performance and acceptable heat loads. A key aspect of this is to develop plasmas with the highest possible plasma current in a highly triangular shape, so reaching conditions that are the nearest possible to ITER, for extrapolation of performance, heat loads and technical solutions to ITER. In this paper the physics governing these processes will be discussed, alongside experimental trends and interpretations of behaviour, reporting the latest results from new modelling studies, further analyses of experiment with the old divertor, together with early results from the new divertor. ACKNOWLEDGMENTS This work was partly supported by the United Kingdom Engineering and Physical Sciences Research Council, by the European Communities under the contract of Association between EURATOM and UKAEA. The views and opinions expressed herein do not necessarily reflect those of the European Commission. tsee the appendix ofJ. Pamela ei al. Nucl Fusion 45 (October 2005) S63-S85.

    96 UA061505 ITB34

    EVALUATION OF TRANSPORT COEFFICIENTS IN STELLARATORS USING FIELD LINE INTEGRATION TECHNIQUES

    S. V. Kasilov1, W. Kernbichler2, V. V. Nemov1, G. Leitold2

    'institute of Plasma Physics, National Science Center "Kharkov Institute ofPhysicsand Technology", ul. Akademkheskaya I, 61108 Kharkov, Ukraine 2lnstitutjur Theoretische Physik - Computational Physics, Technische UniversW'at Graz, Pelersgasse 16, A-8010 Graz, Austria

    The development of effective methods for computing neoclassical transport coefficients and bootstrap current in stellarators is one of the important problems in stellarator theory. For idealized stellarator configurations with relatively simple spectra of the magnetic field this problem has been extensively studied analytically. In reality, modern stellarator development (using the concepts of quasi-symmetric and quasi-isodynamic configurations with low neoclassical transport) is strongly based on numerical optimization which results in more complicated spectra of the magnetic field being not treatable analytically anymore. Currently existing numerical methods for computation of transport coefficients and bootstrap current such as Monte Carlo methods or DKES (drift kinetic equation solver) provide results for such general spectra, however, they are relatively slow in order to be used for optimization or for formation of neoclassical data bases needed for the analysis of particle and energy balance in experiments. In addition, most existing codes use ux coordinates as independent variables which can only be introduced for an idealized magnetic field topology without islands and ergodic magnetic field regions. In the present report, an overview is given on methods of computation of neoclassical transport coefficient and bootstrap current which are based on integration along magnetic field lines. These methods allow for rather fast computations in confinement regimes where the role of radial electric field is negligible. Originally, they have been developed for asymptotic regimes (Pfirsch-Schluter, plateau, l/_). Recently, they have been generalized to arbitrary collisionality regimes. These methods work both, in ux coordinates and in real space coordinates, which makes them usable also for realistic magnetic field topologies with islands and ergodic magnetic field regions either computed with novel equilibrium solvers (PIES, HINT) or with Biot-Savart codes directly using coil currents. Applications of these methods to existing and prospective devices are also discussed.

    97 UA061506 ITB41

    Extension of the operational domain of the "hybrid" scenario

    E.Joffrin

    Association EURATOM-CEA, DSM/DRFC, CEA/Cadarache, F-13108 Saint Paul-lez-Durance, France

    The hybrid regime has been recently developed in several tokamaks (such as ASDEX- Upgrade and DIII-D) as an optimised scenario combining high plasma pressure with improved stability at lower plasma current, therefore allowing longer pulse operation. In these plasmas, the central value of safety factor q is kept close to one with very low magnetic shear thus avoiding the so- called "sawteeth" instability and the triggering of neoclassical tearing modes which could degrade confinement. Extrapolation of the hybrid regime to the next step tokamak fusion device (ITER) could yield a fusion energy amplification factor above 10 and pulses lengths ranging from 1000s to 3000s. This paper will report on the operational development and physics validation of the hybrid regime aiming at operating at large normalized plasma pressures (PN ~ 3), different plasma current (i.e. 3

    98 UA061507

    ITB42

    Magnetohydrodynamic activity and energetic ions in fusion plasmas

    Ya.I. Kolesnichenko1. V.V. Lutsenko1, V.S. Marchenko1, A. Weller2, R.B. White3, Yu.V. Yakovenko1, K. Yaraazaki4

    institute for Nuclear Research, Prospekt Nauky 47, 03680 Kyiv, Ukraine 2Max-Planck-Institut fiir Plasmaphysik, D-17489 Greifswald, Germany 3Princeton Plasma Physics Laboratory, P.O.Box 451, Princeton, NJ 08543, USA 4Nagoya Univertsity, Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan

    Abstract

    Plasma in toroidal fusion devices is typically MHD active and contains energetic ions produced by neutral beam injection, fusion reactions, and acceleration during RF heating. The purpose of this work is to present both an overview and new results on (i) transport of energetic ions during MHD reconnection events and Alfve'nic activity in tokamaks, spherical tori, and stellarators, (ii) peculiarities of energetic-ion-driven Alfve'n instabilities in stellarators. In addition to general theory of the mentioned phenomena, specific examples relevant to TFTR (Toroidal Fusion Test Reactor), NSTX (National Spherical Torus Experiment), the Wendelstein 7-AS stellarator, and LHD (Large Helical Device) will be considered.

    99 UA061508 BOOlo

    Measurements of fluctuations with probes in the edge region of various toroidal plasmas

    R. Schrittwieser.1 C. Ionita,1 P.C. Balan,1 J. StOckel,2 J. Adamek,2 M. Hron,2 M. Tichy, E. Martines,4 G. Van Oost,5 H.F.C. Figueiredo,6 J.A. Cabral,6 C. Varandas,6 C. Silva,6 M.A. Pedrosa,7 C. Hidalgo,7 T. Klinger8

    'Department of Ion Physics, University of Innsbruck, Innsbruck, Austria 2Academy of Sciences of the Czech Republic, Prague, Czech Republic 3 Charles University, Prague Czech Republic 4Consorzio RFX, Padova, Italy 5Department of Applied Physics, University of Gent, Gent, Belgium 6Centro de Fusao Nuclear, Instituto Superior Tecnico, Lisboa, Portugal 7Parlicle and Probe Diagnostic Group, CIEMAT, Madrid "Max Planck Institute for Plasma Physics, Greifswald

    Understanding the underlying physics of the large anomalous transport measured in fusion devices re- mains one of the key issues in magnetic fusion research. It is generally accepted that anomalous transport arises from turbulent diffusion caused by electromagnetic or electrostatic fluctuations in the,edge plasma region. There- fore the determination of these fluctuations is of vital interest for any type of toroidal plasma. For this purpose the simplest and most straight-forward diagnostic tools are still probes of various types. For a direct measure- ment of the plasma potential and of various electric field components in fusion experiments, recently two types of probes have been used and further developed, respectively. These are the emissive probe and the so-called ball-pen probe. Here a review is presented of the principles of these probes and of the results obtained with them. While emissive probes are in use since long for laboratory plasmas, for a few years they have been used also in toroidal fusion experiments. The most recent development in this direction is a laser-heated emissive probe, which has several advantages as compared to the conventional electrically heated emissive wire probe. They have a longer lifetime, higher emission and a higher upper cut-off frequency. They are also insensitive to magnetic fields. Also with a ball-pen probe a direct determination of the plasma potential is possible, since an adjustable part of the electron current can be screened off from the probe collector so that the absolute values of the ion and electron saturation currents become equal. In this case the floating potential of this probe becomes equal to the plasma potential. Various clusters of emissive probes have been used for measurements of the plasma potential profile from which the fluctuating radial and poloidal electric field components could be deduced. With an additional cold probe also the electron temperature and its fluctuations could be determined directly. The cold probe was also used to measure the plasma density fluctuations, which, together with the electric field fluctuations, allowed a derivation of the radial fluctuation-induced particle flux, which characterizes the anomalous transport in the plasma edge. These quantities were determined in CASTOR (Czech Academy of Sciences TORus), Prague, Czech Republic, and ISTTOK (Instituto Superior Tecnico TOKamak), Lisbon, Portugal. Also the Reynolds stress could be derived from these quantities. This is one candidate to explain the generation of sheared poloidal flows in fusion devices, which is assumed to lead to a reduction of the radial transport In the flexible heliac stellarator TJ-II at CIEMAT in Madrid, Spain, fluctuations of the floatingpotentials , of the electron temperature and of the plasma density have been measured by arrays of Langmuir probes, mounted on a reciprocating sys- tem. In this case the study of the transition between ECRH (Electron Cyclotron Resonance Heating) and NBI (Neutral Beam Injection) plasmas was the main goal.

    100 B002o UA061509

    Hall sensors - diagnostic approach to magnetometry in present fusion devices and ITER I.Duran', I.Bolshakova2, R.Holyaka2, V.Erashok2, J.Stockel1, J.Sentkerestiova1, K.Kovafik1, L.Viererbl3, G.Mank4, K.H.Finken4, G.Van Oost5, P.Moreau6, F.Saint-Laurent6, J.Gunn6

    'institute of Plasma Physics, Association EURATOM/IPP.CR, 18200 Praha 8, Czech Republic 2 Magnetic Sensor Laboratory, LPNU, 1 Kotliarevsky Str, Lviv, 79049, Ukraine 3Nuclear Research Institute pic. Husinec-Rez 130, 25068 Czech Republic 'inslitutfiir Plasmaphysik, Association EURATOM- FZ Jiilich, D-52425 Jiilich, Germany, Partner in the Trilateral Buregio Cluster 5Department of Applied Physics, Gent University, Gent, Belgium Association EURATOM-CEA Cadarache, 13108 Saint PaulLez Durance, France

    Use of various configurations of flux loops for measurement of magnetic field in fusion devices is inherently limited by the pulsed operation of these machines. A principally new diagnostic method must be developed to complement the magnetic measurements in true steady state regime of operation of fusion reactor. One of the options is the use of diagnostics based on Hall sensors. This technique is well established for many applications in experimental physics as well as industry, although it is rarely implemented in the fusion plasma physics.

    Although, principally aimed for steady state applications, Hall sensors offer some advantages over magnetic coils also for present pulsed fusion devices. It is mainly their smaller size and direct relation of the measured signal to the magnetic field. The frequency response is typically limited to few tens of kilohertz. The contribution is planed to give an overview of the measurements using the various types of Hall sensors on TEXTOR, Tore Supra, and CASTOR tokamaks. The array of nine Hall sensors was used inside the TEXTOR tokamak in order to monitor MHD activity up to 20 kHz. The performance of a 3D Hall probe was recently tested on Tore Supra tokamak taking advantage of its long pulse capabilities. The probe head was installed onto the poloidal field coil outside the Tore Supra vacuum vessel. Perfect agreement with a 3D magnetic coil coupled with low-drift integrators placed in a similar location was achieved. On CASTOR tokamak, a full poloidal ring of 96 Langmuir probes and 16 poloidally oriented coils combined with the 16 Hall sensors was constructed in order to investigate the possible link between the electrostatic and magnetic turbulence. Additionally, a 3D Hall probe installed on a radialy moveable manipulator was put in operation on CASTOR allowing determination of the q profile on a shot to shot basis.

    The use of the Hall sensors for steady state magnetic diagnostics of ITER is presently limited by their questionable radiation and thermal stability. Issues of stable and reliable operation in ITER like radiation and thermal environment will be addressed by the contribution. The emphasis will be put on the results of neutron irradiation tests of ITER candidate Hall sensors done at IBR-2 and LVR-15 experimental fission reactors. Degradation of the best sensor's sensitivity by 7% was observed after neutron irradiation by the total neutron fluence of 2xl017 n/cm2 in LVR-15. This level of neutron fluence is comparable to that expected to occur over the whole ITER life time for a sensor location just outside the ITER vessel.

    101 UA061510 B004o

    The Reflectometry For Measuring The Density Fluctuations In Magnetized Plasmas.

    S. Heuraux1, F. Clairet2, T. Gerbaud2, P. Hennequin3, C. Honore3, G. Leclert4, R. Sabot2, F. da Silva5, A. Sirinelli2, L. Vermare2.

    ' LPMIA, CNRS-Universiti Henri Poincare, Nancy-1, BP239, 54506 Vandoeuvre-les-Nancy, France 2 Association Euratom-CEA, CEA/DSM/DRFC, CEA-Cadarache, 13108 St Paul lez Durance, France 3 LPTP, Ecole Polylechnique, 91128 Palaiseau, France 4 LPIIM, CNRS-Universite de Provence, 13397 Marseille cedex 20, France. 3 Association Euratom CFNJST, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

    The understanding of turbulence in magnetized plasmas is a key point to predict the confinement in a fusion reactor. Reflectometry based on radar principle is a versatile diagnostic using microwave, suitable for ITER, able to provide qualitative and quantitative measurements on density fluctuations due to Magneto-Hydro-Dynamic modes and turbulence. A recall of the basic processes, the principles of the different techniques (profile frequency sweep, fluctuation fixed frequency, Doppler tilted incidence, correlation dual frequency) and the accessibility domain for each kind of refiectometry will be presented. The role played by full-wave simulations to evaluate the accuracy and spatial resolution is also discussed. The reflectometry capabilities (and limitations) to provide profiles, wave-number and frequency spectra, MHD activity, and profiles of poloidal velocity will be illustrated by the measurements obtained on Tore Supra. At the end of the talk a brief review of the future possibilities (improvement of the existing results, probability distribution function of the density fluctuations, information from the amplitude of the reflected signal) will be presented.

    References: [1] S. Heuraux, S. Hacquin, F. da Silva, F. Clairet, R. Sabot G. Leclert, Rev. Sci. Instrum. 74,1501-1506 (2003). [2] R Sabot, C. Bottereau, J.-M. Chareau, F. Clairet, F. Gabillet, P. Hennequin, S. Heuraux, C. Honore, G. Leclert International Journal of Infrared and Millimeter Waves 25 (2) 229-246 (2004). [3] F. da Silva, S. Heuraux, N. Lemoine, C. Honored P. Hennequin, et al Rev. Sci. Instruro. 75, 3816 (2004). [4] L. Vermare, F. Clairet, G. Leclert, S. Heuraux, R. Sabot, A. Sirinelli Rev. Sci. Instrum. 75, 3825 (2004). [5] E. Blanco, S. Heuraux, T. Estrada, J. Sanchez Rev. Sci. Instrum. 75, 3822 (2004). [6] F. Clairet, L. Colas, S. Heuraux, G. Lombard Plasma Phys Cont Fusion 46,1567 (2004). [7] L. Vermare, F. Clairet, S. Heuraux, G. Leclert Plasma Phys Cont Fusion 47, 1895 (2005).

    102 B005O UA061511

    Application of Powerful Quasi-Steady-State Plasma Accelerators for Simulation of ITER Transient Heat Loads to the Divertor Surfaces

    V.I. Tereshin'. A.N. Bandura1,0.V. Byrka1, V.V. Chebotarev1, I.E. Garkusha1, I. Landman2, V.A. Makhlaj1, D.G. Solyakov1, A.V. Tsarenko1

    ' Institute of Plasma Physics of the NSC K1PT, Kharkov, 61108, Ukraine 1 Forschungszentrum Karlsruhe, IHM, 76021 Karlsruhe, Germany

    Plasma energy loads to the diverter elements surfaces expected for ITER transient regimes can't be achieved in existing tokamaks. But the materials behavior and processes at their surfaces under high heat loads typical for ITER are very important to know at the stage of reactor designing. Therefore powerful plasma accelerators are used at present for study of plasma-target interaction and for numerical models validation. Quasi-steady-state plasma accelerators (QSPA), which characterized by essentially longer duration of plasma stream generation in comparison with pulsed plasma guns, became especially attractive facilities for investigations of plasma-surface interaction in conditions of high heat loads simulating the ITER disruptions and ELMs. The experimental investigations of energy characteristics of the plasma streams generated with quasi-steady-state plasma accelerator QSPA Kh-50 and main features of the plasma interaction with tungsten surfaces in dependence on plasma heat loads are discussed in this report. Experiments were performed in guiding magnetic field of 0.54 T with various numbers of pulses of the time duration ~ 250 jas, ion energy up to 0.6 keV, and the heat load up to 25 MJ/m2. In order to investigate the main erosion mechanisms at the vicinity of the target melting point, the samples were also exposed to the repetitive plasma heat fluxes of (0.5-2) MJ/nr (which is quite suitable for ITER ELMs). Plasma heat loads were varied by both changing the scenario of gas filling to the accelerator channel and changing the working voltage at the accelerator electrodes. Calorimetry (both at plasma stream and at the target surface), piezo-detectors as well as spectroscopy measurements were applied to determine the plasma parameters in different regimes of operation. Surface analysis of the targets exposed to QSPA plasma streams, with measurements of the melting onset load and of erosion patterns in the course of increasing of number of plasma pulses is presented also. Studies of cracking dynamics and X-ray diffraction measurements are presented. To estimate the range of tolerable loads the effects of ELMs on the lifetime of plasma facing components have been experimentally simulated for large numbers of impacts with varying energy density (with up to 450 pulses of the duration of 0.25 ms and the heat loads in the range of 0.5 - 1.2 MJ/m1). A threshold character of morphological changes on the tungsten surface under the melting in respect to the pulses number is demonstrated. The number of initial exposures without formation of corrugations and pits is about 200, which does not depend on the magnitude of target heat load. Further increase of the exposures results in the corrugation structures becoming dominant. Initially the melt layer disintegrates into a set of droplets remaining at the surface. Such evolution seems to be driven by the surface tension forces within a fine network of cracks at the previously irradiated surface, in order to minimize the damaged area. Finally a stabilization of the surface pattern occurs. The onset of intensive evaporation at molten tungsten surface under the repetitive heat loads and influence of swelling on the surface profile has been studied also.

    103 UA061512 B006o

    NEW EFFECTS IN PHYSICS OF MODERN MIRRORS

    E.P.Kruglyakov, A.V.Burdakov, A.A.Ivanov

    Budker Institute of Nuclear Physics, 630090, Novosibirsk, Russia

    In this paper the status of the experiments on two magnetic mirror devices will be discussed. The first one is multi mirror system GOL-3 (the length of magnetic system is 12 m, one minor cell size is 0.22 m, the magnetic field strength is 5 T (in mirrors) and 3.5 T in the middle plane of each cell). The second system is Gas Dynamic Trap (GDT). The later is a mirror system with very high mirror ratio (R ~ 102 ). The distance between end mirrors, L, is 7 m and magnetic field in them is 15 T. Plasma confinement in the GDT is studied for the case when X; < L, i.e. in collisional regime. In this case, plasma behavior is classical so that micro-instabilities do not excite in it. One of the crucial problems of plasma confinement in mirrors is longitudinal electron heat conductance. Two ways of overcoming this problem were demonstrated in our experiments. In the case of multi mirror trap GOL-3 plasma is heated as a result of interaction of high current relativistic electron beam (REB) with a dense (lO^m"3) plasma (it is shown that strong Langmuir turbulence is excited). Besides, the experiments have shown that during the time when the REB was passing through the plasma, very strong suppression (by three orders of magnitude) of longitudinal electron heat conductance is observed. As a result, the electron temperature of order of 2 keV was obtained in the GOL-3. In the case of the GDT another method of suppression of electron heat conductance was experimentally demonstrated. Because of strong expansion of magnetic field lines outside the trap high ambipolar potential is formed which reflects back most of electrons leaving the trap. From engineering viewpoint axisymmetric magnetic mirror systems are the simplest ones for plasma confinement. However, plasma in such systems is MHD unstable because of unfavorable curvature of magnetic field lines in such traps. Nevertheless, the methods of obtaining of MHD stable plasma with high P (of order of 40%) were demonstrated for both traps. It is well known that in result of REB - plasma interaction the electrons of plasma are heated. Indeed, in the case of homogeneous magnetic field (with two mirror coils at the ends of solenoid) heating of plasma electrons was observed. In the case of multi mirror configuration new phenomenon was unexpectedly discovered. In ten microseconds after switching off the REB ion temperature achieved 2 keV in very short time (-10 microseconds) and such hot plasma sustained during x^,~\ ms.. This phenomenon has rather simple explanation given in the paper. At present, studies of plasma confinement and neutral beam heating at the GDT device show that this approach can result in efficient high power neutron source (NS) of 14 MeV neutrons. Such a source is extremely necessary for testing of construction materials for thermonuclear reactor. Practicability of such a source, in principle, has been already demonstrated in the experiments at the GDT. However, plasma parameters in the experiment are still far enough from that to produce required 2 MW/m2 of 14 MeV neutrons. At present, a modernization of the GDT is realized. Six new neutral beam injectors were constructed with higher power (10 MW instead of 4) and duration (5 ms instead of 1) of the beams. According to calculations, the GDT- upgrade will be able to demonstrate (from physical viewpoint) practicability of the NS with neutron flux density of 0.5 MW/m2 (2.5-10l7neutrons/m2). Although the neutron flux for full scale (2 MW/m2 ) neutron source for materials testing should be still four times higher, at present, even such moderate NS could be already used in variety of applications. Besides, if these parameters are achieved, those for full scale NS could be predicted with good reliability.

    104 UA061513 B007o

    Experimental study of anomalous particle transport and micro turbulence in LHD

    K.Tanaka, C.Michael, L.N.Vyacheslavov*, A.L.Sanin*, O.Yamagishi, KJda, H.Yamada, M.Yoshinuma, MLYokoyama, K.Kawahata, T.Tokuzawa, M.Shoji, T.Morisaki, S.Masuzaki and LHD experimental group

    National Institute for Fusion Science, 322-6 Oroshi, Toki, 509-5292, Japan *Budker Institute of Nuclear Physics, 630090, Novosibirsk, Russia

    The study of fluctuations and particle transport is an important issue in heliotron and stellarator devices as well as in tokamaks. The density profile in LHD changes depending on heating power, toroidal magnetic field and magnetic configuration. For example, hollow density profiles are observed in LHD with increase of temperature gradient. And at outward shifted configuration, where magnetic ripple becomes larger, density profile becomes hollower. There is harsh contrast to tokamak plasmas, where most density profiles are peaked. The estimation of diffusion coefficients from density modulation experiments shows that diffusion coefficients are around one order of magnitude larger than neoclassical prediction. Therefore, these changes of the density profile are due to the characteristics of the anomalous transport, where micro turbulence plays important role. In order to understand nature of the turbulence, a two dimensional phase contrast interferometer (2D PCI) was developed. The current 2D PCI can detect fluctuations for which 0.3

    105 UA061514 B008o

    Experimental Observations of Zonal Flows and Turbulence in a Toroidal Plasma A. Fujisawa, A. Shimizu, H. Nakano, S. Ohsima, K. Itoh,' Y. Nagashima, 'S.-L Itoh, H. Iguchi, Y. Yoshimuta, T. Minami, K. Nagaoka, C. Takahashi, M. Kojima, S. Nishimura, M. Isobe, C. Suzuki, T Akiyama, T. Ido, K Matsuoka, and S. Okamuia National Institute for Fusion Science, Oroshi-cho, Toki, 509-5292 Japan 'Research Institute for Applied Mechanics, Kyushu Univ., Kasuga, 816-8580, Japan

    In magnetically confined plasma, tuibulence is an essential element to determine the plasma transports and the resultant thermal structure. The extensive studies on transport barriers have shown that the structure of radial electric field has an impact on turbulence and transport. In other words, the sheared structure of electric field can suppress the microscopic turbulence and the resultanttranspor t The recent researches in simulation and theory have revealedtha t the turbulence should generate mesoscopic structure, termed zonal flows, through nonlinear wave-wave couplings. The zonal flows have a symmetric structure m=n=0 with a finiteradia l wave number. Since the enetgy is approximately conserved between turbulence and zonal flows,thei r energy participation should determine the transport level. The modern research on the plasma confinement is being developed toward a new paradigm based on the relationshipbetwee n three major elements, turbulence, zonal flows, and macroscopic electric field The paradigm shift is reallysupporte d by the experiment proving the presence of the zonal flowsi n Compact Helical System (CHS), MFS in 2004 [1]. The experiment confirmed, using twin heavy ion beam probes, the existence of mesoscopic fluctuating structure characterized by a long-distance correlation (or symmetric nature) with a finite radial wave number. The diagnostics could reveal nonlinear or causal linkage between turbulence and zonal flows. The time-dependent analysis using a wavelet showed that the zonal flows should affect the turbulence and the resultanttranspor t [2]. Finally, structure or phenomena related to turbulence is ubiquitous in nature. The examples include band-like structure in rotational planets such as Jupiter, jet stream, solar tacocline (momentum transport barrier) and so on. The laboratory experiments of magnetically confined plasma have been recently entered into the stage of clarifying the mechanisms of plasma structural formation through the observation on dynamics and structure of zonal flows and on its interaction with turbulence. Such experiments will contribute to understanding of various turbulence-related phenomena in the universe. The paper will present recent experimental results, in CHS, on the three elements (e.g., turbulence, zonal flows, macroscopic electric field),an d their linkages.

    REFERENCES [1] A Fujisawa et al. Phys. Rev. Lett. 93165002 (2004). [2]A Fujisawa et a!., Plasma Phys. Control. Fusion in press.

    106 UA061515 B009o

    Integrated Modelling of Burning Plasmas in ITER

    J.F. Artaud, V. Basiuk, G. Giruzzi, F. Imbeaux and M. Schneider

    Association EURATOM-CEA, CEA/DSM/DRFC, CEA-Cadarache, F-13108 St Paul fez Durance, France

    Integrated modelling of burning plasmas is an essential step for the realisation of the ITER programme. As for any nuclear reactor, the existence of a reliable simulator of the ITER operation is mandatory, both for nuclear safety reasons and for the optimisation of the operation. Since ITER will be a nuclear reactor of a completely new type, such a simulator will include sophisticated physics models, whose experimental validation will also be an essential requirement. The development and validation of physics models for the various ingredients of a burning plasma discharge cover the full range of research subjects in plasma theory. However, the integration of those models into a comprehensive simulation poses specific problems, both at the physics level (models compatibility) and at the numerical level, which are the main subject of this presentation. In this perspective, a vigorous programme has been started a few years ago, aiming, in particular, at the development and experimental validation of the CRONOS suite of codes. CRONOS is a 1-D predictive/interpretative transport code which integrates, in a modular structure, general 2-D magnetic equilibria, several heat, particle and impurities transport models, as well as heat and particle source modules, for, e.g., neutral beams, RF waves, pellet ablation, etc. An essential ingredient for ITER simulations is of course the kinetic description of the alpha particle source, which is now also fully integrated in CRONOS. In this presentation, the suite of codes and the underlying models will be described. Examples of experimental validation on JET, Tore Supra will be presented. Finally, first full simulations of ITER discharges in various scenarios (elmy H-mode, hybrid, advanced) will be presented and the main problems arising from the integration of such a large number of physics models and codes will be discussed.

    107 UA061516 BOlOo

    Control of chaotic transport and applications to plasma confinement G. Ciraolo1. C. Chandre2, P. Ghendrih1, R. Lima2, M. Pettini3 and M.Vittot2 'Association Euratom/CEA Cadarache, France 2Centre de Physique Theorique, Marseille, France 3Osservatorio Astrofisico di Arcetri, Firenze, Italy

    In plasma physics, turbulence represents a severe obstacle to the attainment of confinement and high performance in devices. Conventional methods of control aim at targeting individual trajectories. In many-body systems, such methods are hopeless and one has to design a very different strategy. In this talk we propose a strategy to channel chaos by building barriers to diffusion. The core of our approach is a small apt modification of the system which drastically enhances confinement, providing practical prescriptions for the experimental apparatus to operate in a regular regime at a low additional cost of energy. This control of chaotic transport is tested to plasma conditions relevant to both small plasma experiments and that of fusion plasma experiments. Robustness of the control scheme is investigated. A first experimental check on a Travelling Wave Tube is discussed. In this case, the control of chaotic diffusion is realized with an additional amount of energy equal to less than 1% of the total initial energy of the system. A numerical investigation on the efficiency of our strategy on controlling drift wave turbulence in the VTNETA linear device is presented. Simulations show thafadding the control term, namely a small appropriate modification of the electric turbulent potential, a transition from a turbulent to a regular regime of drift wave dynamics is induced. Finally we consider the problem of ExB drift motion of charged test particles in simulations of turbulence in the edge plasma of magnetic fusion devices. For homogeneous turbulence, reduced transport is obtained by modifying the turbulent electric potential with the small control term provided by our method. In the case of turbulence with intermittent bursts of transport, one has to define a control strategy. Either, one aims at controlling the turbulence in between the bursts of transport with a fluctuation level of the order of 2 %, or one aims at controlling the intermittent events with fluctuation levels larger than 10 %. The former is comparable to the case of homogeneous turbulence and is readily achieved while the latter is more challenging and is presently investigated.

    108 UA061517 BOllo

    Influence of magnetic field and shear flow on the Rayleigh-Taylor instability

    D. Li, W. L. Zhang, and Z. W. Wu

    CAS Key Lab of Basic Plasma Physics, School of Science, University of Science and Technology of China, Hefei 230026, China

    The effects of equilibrium flow, sheared flow and magnetic field on the Rayleigh-Taylor instability have been investigated. It is obtained analytically the dispersion relation and the linear growth rate in the presence of both sharp and continuing interface. It is shown that the equilibrium flow only makes a frequency shift of perturbation, whereas the shear flow acts as a driving force and is the dominating drive when Atwood number AT, wave number k, flow shear 5U, and gravitational acceleration g

    satisfy k(l-A*)5*/AT » g. As AT increases growth rate increases first and then falls down if 2 2£SH < g is satisfied, and otherwise it rises monotonically. When magnetic stabilizing effect governs, Rayleigh-Taylor instability only occurs in the long wave region and not only the permitted 2 band, 0 < k < gAj. l\y n —5j(l — A^.)], is extended but the instability is enhanced as 5,, increases or the reduced Alfven speed vro decreases. For regime governed by the destabilizing effect of shear flow, growth rate increases as k and 8B increase.

    Reference

    1. W. L. Zhang, Z. W. Wu, and D. Li Effect of shear flow and magnetic field on the Rayleigh- Taylor instability Phys. Plasmas 12, 042106 (2005) 2. Z. W. Wu, W. L. Zhang, D. Li and W. R Yang Effect of magnetic field and equilibrium flow on the Rayleigh-Taylor instability Chin. Phys. Lett. 21,2001 (2004) Acknowledgments

    This work was supported by the National High-Tech ICF Committee in China and the National Science Foundation of China under Grant Nos. 10475076,10505021, and 40336052.

    109 UA061518 B012o

    Formation of Internal Diffusion Barrier in LID configuration on LHD

    T. Morisaki, S. Masuzaki, M. Kobayashi, R. Sakamoto, K. Narihara, K. Tanaka, H. Funaba, J. Miyazawa, N. Ohyabu, A. Komori, O. Motojima and LHD Experimental Group

    National Institute for Fusion Science, Toki 509-5292 Japan

    Highly peaked electron density profiles with the formation of an Internal Diffusion Barrier (IDB) are obtained in the Local Island Divertor (LID) configuration on the Large Helical Device (LHD). In these discharges, a core region with a density as high as ~5xl020m"3 and a temperature of ~0.8 keV is surrounded by an IDB with a high density gradient. This IDB formation is largely due to effective edge control by the LID and to central fueling with repetitive pellet injection. At the conference, results of the energy and particle transport analyses will be discussed in detail.

    110 UA061519 B0I6p

    Limit cycle oscillations and sawtooth disruptions

    Madhurjya P. Bora and Dipak Sarmah Physics Department, Gauhati University, Guwahati 781014, India.

    A minimal (low-dimensional) dynamical model of the sawtooth oscillations is presented. It is assumed that the sawtooth is triggered by a thermal instability which causes the plasma temperature in the central part of the plasma to drop suddenly, leading to the sawtooth crash. It is shown that this model possesses an isolated limit cycle which exhibits relaxation oscillation, in the appropriate parameter regime, which is the typical characteristics of sawtooth oscillations. It is further shown that the invariant manifold of the model is actually the slow manifold of the relaxation oscillation.

    Presenting author: Madhurjya P. Bora

    111 UA061520 B019p

    Modelling of Plasma Rotation under the Influence of the Dynamic Ergodic Divertor in the Tokamak TEXTOR A. Nicolai, M. Lehnen, A. Rogister, M. Tokar, B. Unterberg, R. C. Wolf Institut fur Plasmaphysik, Forschungszentrum Julich GmbH, Euratom Association, Trilateral Euregio Cluster, D-52425 Julich, Germany

    The Dynamic Ergodic Divertor (DED) at TEXTOR causes a significant spin up of the plasma in the toroidal direction /I/, essential change of the poloidal velocity and the radial electric field. This occurs in different regimes of DED operation such as static and co- and counter rotating DED and had been observed both in 3/1 and 12/4 configurations providing an ergodic layer in the plasma boundary. In this contribution a model and calculations for the plasma rotation in the stochastic layer based on the revisited neoclassical theory /2/ and a theory for electric currents under condition of magnetic field line stochastization /3/ will be provided. The toroidal component of plasma momentum balance gives a relation for the radial component of the electric current perpendicular to the magnetic field/2/. In the case of unperturbed magnetic surfaces this current component should be zero. Under conditions of field line stochastization, radial gradients of the plasma parameters and radial electric fieldgenerat e electric currents parallel to the field lines which also have a nonzero average radial component/3/. In such a case the ambipolarity constraint results in the requirement that the sum of this radial current components is zero. This gives one of the equations relating the toroidal velocity with the radial gradients of the plasma parameters through the charcteristics of magnetic field stochastization, such as the Kolmogorov length and the field line diffusion coefficient. The deviation of the poloidal rotation velocity from the neoclassical one is calculated by taking into account the poloidal component of the Ampere force. The system of the equations for plasma velocity and the radial electric field is closed by the radial component of the ion momentum equation. First estimates and calculations give significant changes of the radial electric field and the plasma velocity under the conditions of magnetic field stochastization, in qualitative agreement with observations on TEXTOR with DED. / 1/ K. H. Finken, S.S.Abdullaev, M. F. M. de Bock, M. Hellermanh et al PRL 94 (2005) 015003 / 2/ H. A. Claassen, H. Gerhauser, A. Rogister, C. Yarim, Physics of Plasmas, 7 (2000) 3699 / 3/ I. Kaganovich, V. Rozhansky, Phys. Plasmas 5 (1998) 3901 Plas. 6 (1999) 153

    112 UA061521 B020p

    Circulating-ion-driven fishbone instability in plasmas with the weak-shear core

    Ya.I. Kolesnichenko1, V.S. Marchenko1, R.B. White2

    x Institute for Nuclear Research, Prospect Nauky 47, Kyiv, 03680, Ukraine 2Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, New Jersey, 08543, Princeton, USA

    New energetic particle mode instabilities of fishbone type are predicted. The considered instabilities are driven by the circulating energetic ions. They can arise in plasmas of tokamaks and spherical tori with weak magnetic shear in the wide core region and strong shear at the periphery, provided that the central safety factor is close to the ratio m / n, where m and n are the poloidal and toroidal mode number, respectively.

    113 UA061522 B021p

    Confinement of Fast Ions in the Presence of the Radial Electric Field in Wendelstein-Iine Stellarators Ya.I. Kolesnichenko*, V.V. Lutsenko*. A.V. Tykhyy*, A. Weller*, A. Werner*, H. Wobigt and J. Geiger*

    "Institute for Nuclear Research, Prospekt Nauky 47, 03680 Kyiv, Ukraine iMax-Planck-Institutfiir Plasmaphysik, IPP-EURATOM Association, D-17489 Greifswald, Germany Keywords: Stellarator, fast ions, particle confinement, radial electric field PACS: 52.50.Gj, 52.55.Hc, 52.65.Cc, 0Z60.Cb

    The basic idea to provide good confinement of the trapped fast ions in the Wendelstein-line stellarators is to achieve a sufficiently high jj (the ratio of the plasma pressure to the magnetic field pressure), /3 ~ 5% [Lotz W., Merkel P., Nuhrenberg I., Struraberger E. 1992 Plasma Phys. Contr. Fusion 34 1037]. At high j3 the plasma diamagnetism "kills" unclosed superbanana orbits by making contours of the longitudinal adiabatic invariant (/|| = § v^dl) closed and weakly deflecting from the magnetic flux surfaces. On the other hand, the radial electric field also affects the particle confinement. However, in contrast to the plasma diamagnetism, the electric field effects are important only for particles with the energy less than a certain magnitude determined from the condition that the electric drift velocity is about or more than the magnetic drift velocity. In addition, electric fieldeffect s depend on the sign of the electric field. Effects of the radial electric field on the confinement of trapped fast ions in the Wendelstein-line stellarators are studied in this work. The obtained results can be summarized as follows: (i) The presence of the negative electric field tends to improve the trapped ion confinement The particles are confined by the electric field when their energy does not exceed a certain magnitude. An electric field localized in a ring region can play the role of a transport barrier for the energetic ions. (ii) The positive electric fielddeteriorate s the confinement of trapped ions, unless the magnitude of the electric field is very large. A detrimental influence of the positive electric field is especially strong when it leads to a rigid plasma rotation with the frequency that satisfies a certain condition, which we refer to as a resonance condition. The resonance rotation frequency, ftjfr, is a function of the particle energy, g. When Q.E — Q!g5, well-trapped particles with a certain energy escape from the plasma. The resonance can be rather wide, i.e., the range of rotation frequencies, Afig around ii™ for which particles with the given energy are not confined can be large. When this is the case, the effect of the E-field induced loss of the fast ions is robust, i.e., the effect exists for Q,gs which arbitrary varies with radius around Cl™ in a certain range Aflg*. (iii) The confinement of the transitioning particles is also affected by the radial electric field. Because of this, a theory of stochastic diffusion (i.e. the collisionless diffusion of transitioning particles [Beidler CD., Kolesnichenko Ya.I., Marchenko V.S., Sidorenko I.N., Wobig H. 2001 Phys. Plasmas 8 2731], which is presumably responsible for the main channel of loss of fast ions in the Wendelstein-line stellarators) should be generalized to include effects of the electric field. (iv) A positive electric field satisfying the resonance condition for ions with the energy in the range T <^£

    Acknowledgments. The work is carried out within the Partner Project Agreement P-O34e between Science and Technology Center in Ukraine, Institute for Nuclear Research, and Max-Planck-Institut fur Plasmaphysik.

    114 UA061523 B022p

    Poloidal trapping of high-frequency Alfven eigenmodes in stellarators Yu. V. Yakovenko*. Ya. I. Kolesnichenko*, O. P. Fesenyuk*, A. Weller1, S. Zegenhagen*, A. Werner1" and J. Geigerf

    'Institute for Nuclear Research, 03680 Kyiv, Ukraine ^Max-Planck-InstitutflirPlasmaphysik, D-17489 Greifswald, Germany Keywords: AJfv£n continuum, Alfv&i eigenmodes, stcllarator PACS: 52.35.Bj,52.35.Py,52.55.Hc

    The Alfve'n eigenmodes (AE) in tokarnaks and stellarators are of interest because of their ability to be destabilized by fast ions. The resulting instabilities may be harmful, causing fast ion losses. On the other hand, they can be utilized for plasma diagnostics. The lack of toroidal symmetry in stellarators can result in new types of Alfve'n eigenmodes in the high-frequency part of the spectrum, namely, the helicity-induced and mirror-induced Alfve'n eigenmodes (HAE and MAE) [1,2,3]. There are evidences that such modes have been observed in experiments [4,5,6]. It is shown in this work that in high-iV machines (N is the number of the field periods) the presence of several Fourier harmonics with different helicities in the metric tensor and the magnetic field results in beatings of the coefficients of the Alfve'n wave equation. Due to this, the wave functions of the Alfve'n continuum (AC) in the high-frequency region are trapped in certain sectors of the plasma cross section. Typically, the wave propagation takes place on either inner or outer circumference of the plasma torus, although a more complicated geometry is also possible. The AC in this region reduces to narrow threads, the width of the threads being determined by the wave tunneling through the evanescence zone. This phenomenon of the Alfven wave trapping due to joint effect of several Fourier harmonics of the wave equation coefficients takes place not only in the frequency range of the HAE and MAE modes but also near the crossings of frequency gaps in the AC and seems to be typical for the three-dimensional toroidal magnetic configurations. The analysis of localized AEs with the use of the ballooning formalism shows that the AEs in this case are also trapped in the same sectors of the plasma cross section as the neighboring continuum wave functions. In particular, this means that HAEs and MAEs are typically localized on either inner or outer circumference of the plasma. The developed theory is applied to an experiment on the stellarator Wendelstein 7-AS, where strong anti-ballooning dependence of high-frequency Alfv6nic activity on the poloidal angle was observed.

    REFERENCES

    1. N. Nakajima, C. Z. Cheng and M. Okamoto, Phys. Fluids B, 4,1115-1121 (1992). 2. Ya. I. Kolesnichenko et al., Rep. IPP HI/261 (2000); Phys. Plasmas, 8,491 (2001). 3. C. Nlihrenberg, in ISSP-19 "Piero Caldirvla", Theory of Fusion Plasmas, Editrice Compositor!, Bologna, 2000, p. 313-320. 4. S. Yamamoto et al., in 29lh EPS Conf. on Plasma Phys. and Control Fusion, Montreux, 2002, Eurohys. Conf. Abstr., Vol. 26B EPS, 2002, Rep. PI.079. 5. V. V. Lutsenko et al., in Fusion Energy 2002,19th Conf. Pmc., Lyon, IAEA, Vienna, 2003, Rep. TH/P3-15. 6. A. Weller et al., Plasma Phys. Control. Fusion, 45, A285-A308 (2003).

    115 UA061524 B023p

    Investigation of Small Scale Tokamak Plasma Turbulence by Correlative UHR Backscattering Diagnostics

    E.Z. Gusakov, A.D. Gurchenko, A.B. Altukhov, A.Yu. Stepanov, M.Yu. Kantor, D.V. Kouprienko

    Ioffe Institute, Politekhnicheskaya 26, 194121 St.-Petersburg, Russia e-mail: evgeniy.gusakov@mail. ioffe.ru

    The correlative upper hybrid resonance microwave backscattering (UHR BS) technique sensitive to fine scale density fluctuations is developed at the FT-2 tokamak (R = 55 cm, a =8 cm) and employed for searching of electron temperature gradient (BTG) mode turbulence, which is discussed nowadays as a possible candidate for explanation of the anomalous electron energy transport in magnetized fusion plasmas, especially in transport barriers [1]. Correlative measurements are carried out in ohmic discharge at several values of plasma current and density when the threshold condition for the ETG mode instability is fulfilled. The moveable focusing antennae set is used in experiments allowing probing both in and out off equatorial plane. In the second case the diagnostics benefited of the Enhanced Doppler effect, associated with the growth of the probing wave number projection onto the magnetic surface in the UHR. The frequency and radial wave number spectra of small-scale component of tokamak turbulence are determined from the correlation data with high spatial resolution. It is shown that at the plasma edge at 8 cm > r > 6 cm the turbulence spectrum is strongly suppressed at high wave numbers and frequencies, so that only low frequency fluctuations possessing radial wave number in the interval 25-100 cm'1 and frequency less than 1 MHz contribute to the UHR BS signal. The radial wave number spectrum scales as Jt'u for 25 < k < 50 cm'1 and as k'i2 for 50 < k < 100 cm'1. On contrary, in the inner plasma region the turbulence spectra at higher wave numbers up to 250 cm'1 is observed. Typically it consists of two frequency components. The first appears at relatively low frequency, less than 1 MHz, whereas the second possesses frequency higher than 2 MHz. It is shown that the poloidal phase velocity for the second spectral component is approximately twice as large as for the first. This component of turbulence is attributed to the ETG mode. Its level in the central region is shown to be comparable to that for the low frequency turbulence, however much smaller than the later at the edge. The low frequency component is attributed to the small scale ITG mode, which can coexist with the ETG mode according to [2]. Behavior of the small scale turbulence frequency and wave number spectra in dynamic LH heating and current ramp up experiments leading to confinement improvement will be presented. The possibility to determine the poloidal plasma velocity from the correlative UHR BS data is demonstrated. Financial support of RFBR grants 04-02-16534, 05-02-16569, scientific schools state program HUI- 2159.2003.2, INTAS grant 01-2056 and NWO-RFBR grant 047.016.015 is acknowledged.

    REFERENCES

    1. F. Jenko, W. Dorland, G.W. Hammett, Physics of Plasmas (2001) 8,4096. 2. AX Smolyakov et a!. Phys.Rev. Lett. (2002) 89, 125005

    116 Blllp UA061525

    Experimental Study of the Variation of Neutron Emission Anisotropy in a Filippov-type Plasma Focus Facility Goudarzi S.

    Nuclear Fusion Research Center, Atomic Energy Organization of Iran North KargarAve, P.O Box 14155-1339, Tehran, Iran [email protected]

    This paper presents the results of experimental studies of the variation of spatial anisotropy in neutron emission with pressure and discharge energy in a 9Okf Filippov-type Plasma Focus device. The working gases are DO. and D2+ \%Kr. The results of our experiments have shown that the anisotropy factor decreases with increasing the pressure and/or energy. Furthermore, it has been observed that by using D2 + 1%A> as working gas, the variation in anisotropy factor with pressure and/or energy is relatively high, but by using D2 it changes slowly. The highest neutron yield has been achieved by using D2+ \%Kr, and we have studied the correlation between neutron yield and anisotropy factor for this case at 16&V discharge voltage and different pressures, at pressures around optimum, the anisotropy factor increases with neutron yield, but at low and high pressures the anisotropy factor doesn't change significantly with yield.

    117 UA061526 B112p

    Development of THz Gyrotrons for Plasma Diagnostics Idehara T.

    University ofFukui, Research Center for Development of Far Infrared Region 3-9-JBunkyo, Fukui-shi 910-8507, Japan idehara @fir.fukui-u.ac.jp

    Development of submillimeter wave gyrotrons (Gyiotron FU Series) has achieved the highest frequency of 890 GHz. Some of the gyrotrons are being used for plasma diagnostics as submillimeter wave radiation sources. Recently, we have developed high frequency CW gyrotrons, namely Gyrotron FU CW series. The first gyrotron, Gyrotron FU CW I is being operated at the frequency of 300 GHz. The output power is 3.5 kW. Such a development of high frequency gyrotrons and application to plasma diagnostics are described.

    118 UA061527 B113p

    Neutral Beam Heating In The TUMAN-3M tokamak

    S.V. Lebedev1. L.G. Askinazi1, A.G. Barsukov2, F.V. Chernyshev1, V.E. Golant1, V.A. Kornev1, S.V. Krikunov1, V.V. Kuznetsov2, A.D. Melnik1, A.A. Panasenkov2, A.R. Polevoi2, D.V. Razumenko1, V.V. Rozhdestvensky1, A.I. Smirnov1, G.N. Tilinin2, A.S. Tukachinsky1, M.I. Vildjunas1, N.A. Zhubr1

    'loffe Institute RAS, 26 Polytechnicheskaya, 194021, St. Petersburg, Russian Federation, 2Nucllear Fusion Institute RRC "Kurchatov Institute", Moscow, Russian Federation

    Neutral Beam Injection (NBI) experiments on TUMAN-3M have been started in 2004. The experiments are aimed on increasing the experimental resources of the tokamak. The NBI system is able of producing more than 600 kW power in neutral beam with the energy of 30 keV and pulse duration up to 28 ms. For the first NBI experiments the following setup were chosen: tangential co-injection with deuterium beam energy 22 keV. NBI power was limited by 300 kW in this campaign. Target operation mode of the tokamak was ohmic H-mode with plasma current up to 170 kA, toroidal magnetic field below 1 T, average electron density (24-4)-1019 m"3, central electron and ion temperatures 500 and 180 eV, correspondingly. In a part of the experiments the effect of NBI heating was explored in freshly boronized vessel. NBI resulted in moderate plasma heating. Stored energy was doubled during NBI and

    central ion temperature increased up to 350 eV. Tf(0) increase in the boronized vessel was smaller compared to the shots without boronization. Energy confinement times deduced from diamagnetic measurements are in agreement with ITER98(y,2) scaling in all regimes under consideration. Observations of the MHD activity have revealed better stability of the NBI heated plasma. Although strong MHD oscillations with broad spectrum arose simultaneously with sawteeth crashes, the shot duration appears to be longer with NBI heating compared to ohmic regime at the same densities. Some peaking of the density profile during NBI has been found. Ratio of central to peripheral chord averaged densities (n(0.574m)/«(0.382m)) increased essentially. Observation of the SXR radiation indicated peaking of current density profile j(r) and electron temperature profile

    Te(r). These effects could be attributed to increasing Ware pinch (n(r)) and moderate NBI current drive in the plasma core (j(r)). The NBI experiments have been modeled using transport code ASTRA. Observed heating efficiency has been found to agree with the sii UA061528 B114p

    Investigation of ICR heating efficiency in the spherical tokamak Globus-M

    V.V.Dvachenko1. B.B.Ayushin', F.V.Chernyshev1, V.K.Gusev1, Yu.V.Petrov1, N.V.Sakharov1, O.N.Shcherbinin1. V.M.Leonov2

    /. A.F.Ioffe Physico-TechnicalInstitute, RAS, 194021, St.-Petersburg, Russia 2. NFIRRC "KurchatovInstitute", Moskow, Russia

    ICR heating (in minority scenario) has demonstrated very high efficiency in conventional type tokamaks. It allows to consider the method of heating as one of the candidates for the ITER project. In spherical tokamaks this scenario of plasma heating has a number of specific features such as simultaneous existence several resonant zones of absorption in a plasma cross-section; weak one-pass absorption of fast waves, excited by an antenna; unclear confinement and thermalization of energetic ion tails, generated by RF power. All these reasons require additional investigations of possibility and efficiency ICR heating in small aspect ratio tokamaks. For this aim the modeling of wave propagation and absorption was performed by the 1-D code [1]. All possible mechanisms of RF absorption (cyclotron absorption at fundamental and second harmonics, TTMP, Landau) were taken into account. The calculations demonstrated possibility of effective RF power absorption both by ions and electrons in broad range of plasma parameters (including high relative hydrogen concentration in deuterium plasma). The ICRH experiments are performed on the low aspect ratio tokamak Globus-M [2] (R=0.36 m, a=0.24 m, B0=0.3-0.4 T, Ip=0.15-0.25 MA, vertical elongation 1.2-2) at RF power input level up to 200 kW at frequencies 7.5 - 9.2 MHz. A 12-channel neutral particle analyzer measured simultaneously hydrogen and deuterium fluxes and relative concentration of ion components. In the experiment the ion temperature increases more then 2 times, but the ion heating efficiency depends on the location of the second hydrogen cyclotron harmonic and on the concentration of the light ion component. It is shown, that position of the second hydrogen harmonic in front of antenna decreases efficiency of on-axis ion heating approximately 20-30% probably due to worse confinement and thermalization fast ion population on plasma periphery. Variation of H-concentration in a range 10-70% does not influence ion heating efficiency essentially . The predicted electron heating was not detected in the experiment, probably because the RF power absorbed by electrons (about 100 kW) is much less than the ohmic power. Experimental results are in a good agreement with modeling by the 1,5 D transport Astra code and demonstrate well ability to effective plasma heating.

    [1] M.A.Irzak, E.N.Tregubova, O.N.Shcherbinin, Plasma Physics Reports, 25(8), 1999, p.659.

    [2] V.K.Gusev, V.V.Dyachenko, F.V.Chernyshev et al, Tech.Phys.Lett., 30(8), 2004, p.690.

    120 UA061529 B115p

    Development of a Size-Controllable Pellet Injector for Ablation Studies

    I.Rego1, K.N.Sato2. K.Goto1, D.Thang2, M.Sakamoto2, TRIAM Exp.Group2

    'interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Japan 2Research Institute for Applied Mechanics, Kyushu University, Japan

    Abstract. A pellet injector of new type with precisely and continuously controllable system of pellet size is being developed. This has a unique mechanics and structure of producing a frozen pellet in extremely low temperature region. Keywords: Pellet injection, Ablation, Size variable injector. PACS: 52.40.Hf

    From the viewpoint of performance of nuclear fusion plasmas, pellet injection experiments have been actively carried out in many toroidal devices in the sense of controlling density profile, obtaining high density or improved confinement, and diagnostic purposes. In order to have a common measure of pellet ablation, the regression study has been performed as an international cooperation activity, obtaining "IPAD" (International Pellet Ablation Database) [1]. However, these are an empirical scaling, and the mechanism of pellet ablation still remains to be studied. According to the code calculations based on a typical pellet ablation model (e. g., so-called the neutral gas shielding model), it is understood that the penetration depth into plasma is always quite sensitive to the pellet size. If the pellet size is too large, the pellet passes through the plasma, and if it is too small, it is trapped at the plasma surface. Also, an effective or suitable range of the pellet size for a certain plasma is generally very narrow, and this range largely varies depending on each plasma size and plasma parameters. Thus, the precise controllability of the pellet size, especially the size controllability with continuously variable system will be quite effective in order to carry out the detailed studies on pellet ablation and associated phenomena. A pellet injector of new type with precisely and continuously controllable system of pellet size is being developed. This has a unique mechanics and structure of producing a frozen pellet in extremely low temperature region. The central part of the pellet injector with continuously size-variable system is given in Fig.l. In the device presently developed in this research, we will precisely adjust the length of the cylindrical pellet (d> 1.0mm) from 0.5 to 3 mm by using the special "length restriction rod".

    REFERENCE

    [1] L.R.Baylor et al.: An International Pellet Ablation Database, Nucl. Fusion 37 (1997) 445

    Fig. 1 The central part of the pellet injector with continuously size-controllable system

    121 UA061530 B116p

    The Phenomenon of Anomalous Fast Heating of Ions During Relaxation of an Electron Beam in Plasma of Multimirror Trap GOL-3

    V.T. Astrelin, A.V. Arzhannikov, A.V. Burdakov, G.E. Derevjankin, LA. Ivanov, M.V. Ivantsivsky, K.I. Mekler, S.V. Polosatkin, V.V. Postupaev, A.F. Rovenskikh, S.L. Sinitsky, J.S. Suliaev, Yu.A. Trunev, A.A. Shoshin and E.R. Zubairov

    Budker Institute of Nuclear Physics, Novosibirsk 630090, Russia

    An investigation of plasma heating and confinement in a long open magnetic trap is carried out on the GOL-3 facility in the Institute of Nuclear Physics. The facility consists of multimirror trap with corrugated magnetic field and generator of pulse high-current relativistic electron beam being used for 21 3 heating of dense deuterium plasma np ~ 10 m' placed in the magnetic field. The multimirror configuration of magnetic field is used for essential increasing of plasma energy lifetime. It occurs due to collisional friction between transiting and trapped ions and is effective if a mean free path of ions is between length of one magnetic cell and total length of trap. A strong beam-plasma interaction and subsequent turbulence lead to effective heating of plasma electrons. In earlier experiments in a single magnetic trap with homogeneous (non corrugated) magnetic field in a solenoid part of trap a temperature of plasma electrons was raised up to Te ~ 1-2 keV due to collective processes at the turbulence. This result became possible thanks to a strong suppression of electron thermal conductivity along magnetic field in turbulent state of plasma. An ion temperature didn't exceed T, ~ 50 eV during and after electron beam pulse. An electron temperature falls down to level of ~ 102 eV after beam pulse during ~ 30 (as. A situation has changed strongly after transition to multimirror regime of plasma heating and confinement. The heating of electrons became practically the same (Te ~ 2-3 keV for a beam of higher density of current). As for ion energy, it increases up to value of some keV immediately after beam pulse of t6 ~ 8 us duration. A hundred microsecond later an ion temperature becomes Tt~ 1-2 keV together with electron temperature near 102 eV. This fast transfer of energy from electrons to ions can not be explained by classical Coulomb e-i collisions for used plasma density, because classical energy exchange time (tciau ~ 1 ms) is much greater than observed in experiment (T^ < 10 (is). The paper consists review and analysis of experimental facts that prove an anomalous character of ion heating in multiple mirror trap GOL-3. It considers some estimates and model of the phenomenon that explain its nature.

    122 UA061531 B118p

    Plasma Scattering Measurement using a Submillimeter Wave Gyrotron as a Radiation Source OGAWA I.

    Research Center for Development of Far-Infrared Region, Fukui University 3-9-1 Bunkyo, Fukui 910-8507, Japan [email protected]

    It is important to measure density fluctuations as a port of the basic study of plasma confinement. The scattering method with electromagnetic wave makes it possible to observe the magnitude, the frequency and the wavenumber of the fluctuationsdirectl y with a high spatial resolution. The difficulty in obtaining effective information is scarcity of the spatial resolution and the sensitivity of fluctuation measurements. Application of an intense, high quality, well- collimated probe beam is effective in improving the performance of the measurement. Such probe beam is produced by stabilization of the high frequency gyrotron output and its conversion into a Gaussian beam.

    123 UA061532 B119p

    Development of a Quasi-optical Transmission System for Gyrotron Application as a Radiation Source OGAWA I.

    Research Center for Development of Far-Infrared Region, Fukui University 3-9-1 Bunkyo, Fukui 910-8507, Japan ogawa ®firjukui-u.ac.jp

    In order to convert effectively the gyrotron output radiation into a Gaussian beam, we have developed a new gyrotron, Gyrotron FU VA which produces high purity mode outputs. If the Gaussian beam is obtained from gyrotron output, the versatile transmission system for a Gaussian beam will be realized. In this system, con-focal mirror systems are installed in a special shaft which goes through the second floor, the third floor and the forth floor of the building of the Research Center for Development of Far-Infrared Region.

    124 UA061533 B121p

    Present day Experience In The Use of Galvanomagnetic Radiation Hard Transducers in Fusion Devices

    I.BoIshakova1, V.Coccorese2,1.Duran3, S.Gerasimov4, R.Holyaka1, P.Moreau5, A. Murari6, F. Saint-Laurent5, J. Stockel3 and JET EFDA Contributors

    A Magnetic Sensor Laboratory (LPNU); 1 Kotliarevsky Sir, Lviv, 79013, UKRAINE 2. .Association EURATOM-ENEA(CREATE), Via Claudio 21,1-80125 Napoli, ITALY 3. IPP Prague, Association EURATOM/IPP. CR, la Slovankou 3, 182 00 Praha 8, CZECH REPUBLIC 4. Euratom/UKAEA Association, Fusion Culham Science Centre, Abingdon, 0X14 3EA, UK 5. Association EURATOM-CEA, Cadarache, 13108 Saint Paul Lez Durance, FRANCE 6.Consorzio RFX, Associazione ENEA-EURATOM per la Fusione, CorsoStaii Uniti4, 37125 Padova, ITALY

    Controlled fusion is one of the most important long-term options for energy supply. As a positive result of past and present day experiments carried out following the tokamak approach to fusion, the construction of ITER has been started (International Thermonuclear Experimental Reactor, www.iter.org). An important feature of the magnetic diagnostics in ITER will be the capability of measuring the magnetic fields in quasi steady state conditions, since the current in the plasma will remain constant throughout a pulse lasting for several thousands of seconds. Besides, the probes must withstand the neutron fluxesresultin g from the D-T fusion reactions. In this framework the present paper describes the experience gained in present day tokamaks on the use of the instrumentation based on galvanomagnetic sensors, which looks promising for application in a neutron environment. An important feature of the instrumentation is its capability of self calibrating during the operation, so that to compensate the changes of characteristics due to the neutrons. Further characteristics of the probe are: i) high-precision magnetic field induction measurement (HA-mode); ii) wideband magnetic field induction measurement (HF-mode); iii) measurement of differential test magnetic field (T-mode); iv) temperature measurement and correction of the measured field induction magnitude. The galvanomagentic transducers and instrumentation were developed and tested at the Magnetic Sensor Laboratory of Lviv Polytechnic National University. The probes were then successfully installed and tested in the TORE-SUPRA tokamak (Fig. 1, a) and, more recently, in JET (Fig. 1, b) (www.jet.efda.org). Some results are presented in the paper.

    a) b) Fig.l. Magnetic field measurement in the fusion devices TORE SUPRA (a) and JET (b).

    125 UA061534 B122p

    MUD modes in a global gyrokinetic particle simulations

    I. Holod, Z. Lin, Y. Nishimura

    University of California, Irvine Irvine, 92697 CA, USA

    It is established that the global alfven modes can resonantly interact with fusion alfa- particles, which makes them important for energy confinement studies. For this purpose, the electromagnetic version of gyrokinetic toroidal particle-in-cell code (GTC) has been developed. In the code ions are treated kinetically, while electrons are adiabatic in the zeroth order of an expansion based on the smallness of electron-to-ion mass ratio. Toroidal coupling of shear Alfven modes leads to the apperance of gaps in the continuum frequency spectrum. Inside these gaps Toroidal Alfven Eigenmodes (TAE) can exist. In the simulations, starting with random perturbations of vector potential, the shear Alfven modes die out due to the continuum damping and the dstinctive peaks inside TAE frequency gaps are observed. Linear dispersion relation of the observed modes is compared with analytical theory to benchmark the results.

    126 UA061535 B123p

    Extraction of coherent events out of turbulent signals Devynck P.*, Brotonkova J.f, Hron M.f and Stockel J.+

    'Association EURATOM-CEA, CEA/DSM/DRFC CEA-Cadarache, bat 508, F-13108 St. Paul lez Durance, France pascal.devynck@ceafr tInstitute of Plasma Physics, Association Euratom/IPP.CR, AS CR, Prague, Czech Republic

    We propose a simple correlation technique to extract coherent events out of turbulent time series in order to study their dynamics and quantify more rigorously their impact on the turbulent transport. The technique looks for similarities in the time series with a selected time window of the data (reference signal) of same duration than the auto-correlation function of the time series. The data are scanned with this reference signal and only the events of the times series with a sufficient degree of similarity with the reference signal are retained. A last criterion must be given to decide which reference signal is the typical coherent event. The best choice for the referencesigna l is the one that allows the highest fraction of the initial signal to be kept. This technique is useful in the case of use of arrays of detectors as it allows to follow the trajectory of individual events along the array and how they deform during their propagation. It is presented in the context of fusion studies but can be used in other fields also. We show some results obtained in the Castor and Tore Supra tokamaks with Langmuir probes measuring density and potential fluctuations at the edge of the plasma in the region where the magnetic field lines intercept wall components. In the case of Castor, the typical coherent events for the density fluctuations measurements are time asymmetric bursts of duration 30fis. These bursts are observed to propagate on a radial array of 16 probes over more than 3 cm with a mean apparent radial velocity of about 1000 m/s. The coherent events for the potential fluctuationsar e dipoles of duration 67/w. They also extend along the array by more than 3 cm and have an apparent radial velocity of 580 m/s. The difference in velocities shows that bursts propagate radially faster than dipoles. In the case of Tore Supra, the coherent events for the density fluctuations are bursts of duration 50/w similar to the ones observed in Castor. Large but also small amplitude bursts are observed and their time statistics will be presented.

    127 UA061536 B125p

    Edge plasma control by ergodic layers on Large Helical Device Komori A.

    National Institute for Fusion Science 322-6 Oroshi-cho, Tott 509-5292, Japan [email protected]

    The ergodic layer, located around The ergodic layer, located around the natural helical separatrix of the Large Helical Device, was demonstrated experimentally to have an ability to control plasma density remarkably by changing its thickness, in addition to a function of preventing impurity penetration into the core region. This is because neutral particles recycled at the divertor plates are ionized in the ergodic layer, and then flow along the field lines to the plates. The thickness of the ergodic layer increases with increasing resonant perturbation field,generate d by an additional coil system.

    128 UA061537 B126p

    Impact of a uniform plasma resistivity in MHD modelling of helical solutions for the Reversed Field Pinch dynamo Bonfiglio D.*, Cappello S.* and Escande D. R*-t

    "Consonio RFX, Associazione EURATOM-Enea sullafuswne, Padova, Italy Corso Stati Uniti, 4 35127 Padova (ITALY) 'CNRS-Universite de Provence, Marseille, France

    Till now the MHD simulation of the reversed field pinch (RFP) has been performed by assuming axisymmetric radial time independent dissipation profiles. In helical states this assumption is not correct since these dissipations should be flux functions, and should exhibit a helical symmetry as well. Therefore more correct simulations should incorporate self-consistent dissipation profiles. As a first step in this direction, the case of uniform dissipation profiles was considered by using the 3D nonlinear visco-resistive MHD code SpeCyl. It is found that a flattening of the resistivity profile results in the reduction of the dynamo action, which brings to marginally-reversed or even non- reversed equilibrium solutions. The physical origin of this result is discussed in relation to the electrostatic drift explanation of the RFP dynamo [1]. This sets constraints on the functional choice of dissipations in future self- consistent simulations.

    [1] D. Bonfiglio, S. Cappello, D. F. Escande, Phys. Rev. Lett. 94,145001 (2005)

    129 UA061538 B130p

    MUD characteristics in high beta heliotron plasmas and its effects on plasma confinement

    K.Y.Watanabe and LHD experimental group

    National Institute for Fusion Science, Toki 509-5292, Japan

    A heliotron device is a helical type toroidal magnetic plasma confinement system and a probable candidate as thermonuclear fusion reactor under steady-state operation because it can confine plasma with only external coils and install a well-defined divertor configuration. It has been considered to have a disadvantage with respect to pressure driven magneto-hydrodynamics (MHD) instabilities because the magnetic hill region exists. However, in recent experiments of a heliotron (LHD [Large Helical Device] in NIFS, Japan), the high beta value of more than 4% as the volume averaged beta value, which is relevant to that of a heliotron reactor design (5%), is achieved without disruptive phenomenon. Here it should be noted that in the high beta plasma with around 4%, the maxima of the observed thermal pressure gradients are marginally unstable to a global ideal instability, and the violation of peripheral magnetic surfaces are expected. The above suggests that the MHD properties do not strongly affect the operational range, but they might affect the transport in the high beta range up to 4%. We discuss the effects of the MHD properties on the plasma confinement through the comparative analysis between experimentally observed transport properties of the LHD high beta plasmas and the theoretical prediction based on some transport model due to MHD effects, e.g. the violation of the magnetic surfaces due to MHD equilibrium current, the localized ideal and resistive MHD instabilities and so on. The way to realize plasmas with beta value of over 5% will be also discussed.

    130 UA061539 B132p

    A mega ampere gas emebedded Z-pinch driven by SPEED2 generator Soto L.*, Pavez C.*, Moreno J.% Sylvester G.*, Silva P.* and Zambra M.*

    * Chilean Nuclear Energy Commission CCHEN, Casilla 188-D, Santiago, Chile

    A gas embedded Z-pinch has been implemented using the SPEED2 generator (4.1 /iF equivalent Marx generator capacity, 300 JfcV, 4 MA in short circuit, 187 kJ, 400 ns rise time, dl/dt — 1013 A/s). Initial conditions to produce a gas embedded z-pinch with enhanced stability by means resistive effects and by finiteLarmo r radius effects were obtained and electrodes were constructed in order to obtain a double column Z-pinch and a hollow discharge. Experiments were carried out in deuterium at mega amperes currents. Current derivative and voltage signals have been obtained. In addition interferograms have been obatined using a pulse Nd-YAG laser (8 ns FWMH at 532 nm). Preliminary results on neutron emission were also obtained. Supported by FONDECYT grant 1030062. SPEED2 is a donation from Dusseldorf University to CCHEN.

    131 UA061540 B136p

    Mitigation of Stochastic Diffusion Losses in Optimized Stellarators Yu.V. Yakovenko*, A.V. Tykhyy* and A. Werner*

    * Institute for Nuclear Research 03680 Kyiv, Ukraine ^Max-Planckrlnstitutfu'rPlasmaphysik D-17489 Greifswald, Germany

    It is known that the lack of axial symmetry in classical stellarators may produce superbanana orbits which lead to rapid loss of locally trapped energetic ions [1], In optimized stellarators, various techniques [2, 3, 4, 5] are employed to close the contours of the longitudinal invariant and thus confine the locally trapped particles. However, collisionless transformations between locally trapped and locally passing orbits result in stochastic diffusion (SD). Previous research [6] showed that SD may lead to significant losses of energetic particles from stellarator plasmas, even though the individual particle drift orbits are close to r = const. In this work, we observe that SD essentially displaces the point at which particles cross the separatrix between locally trapped and locally passing states along the same separatrix. Therefore, if the separatrix does not cross the plasma boundary, the effect of SD on confinement will be gTeatly reduced. We demonstrate by simple analytical methods that because of this effect, even in the presense of SD particle losses may be reduced with a suitable modification of the magnetic configuration or through the influence of electric fields. In particular, it is possible to protect the particles in the plasma core from SD. We findtha t in a Helias type configuration increasing P at r = 0 to 15% and decreasing the mirror harmonic at the plasma edge to 0.06 protects from effects of SD all particles within half radius.

    REFERENCES

    1. S.L. Painter, J.F. Lyon, Fusion Technol. 16,157 (1989) 2. CD. Beidleret al., Fusion Energy 1996,16th Conf. Proa, Montreal (IAEA, 1997) Vol. 3, p. 407 3. Pit. Garabedian, Phys. Plasmas 3,2483 (1996) 4. J.NUrenberg, W. Lotz, S. Gori, Phys. Theory of Fusion Plasmas (1994), p. 3 5. J.R. Cary, S.G. Shasharina, Phys. Rev. Lett. 78,674 (1997) 6. CD. Beidler et al., Phys. Plasmas 8,2731 (2001)

    132 UA061541 B138p

    Radio Frequency Wave Dissipation by Electron Landau Damping in Tokamaks with Solov'ev Equilibrium

    N.I. Grishanov

    Kharkov National University, Department of Physics and Technology, Ukraine

    Longitudinal permittivity elements are derived for radio-frequency waves in an axisymmetric D-shaped tokamak with Solov'ev type equilibrium. The drift-kinetic equation is solved separately for untrapped (passing or circulating) and three groups of trapped particles as a boundary-value problem, accounting for the finite 'beta' effects and the transit-time and bounce resonances. Our dielectric characteristics are suitable to estimate the wave dissipation by electron Landau damping (e.g., during the plasma heating and current drive generation) in the frequency range of the Alfven and fast magnetosonic waves, for both the large and low aspect ratio tokamaks with circular, elliptic and D-shaped magnetic surfaces. The dissipated wave power is expressed by the summation of the terms including the imaginary parts of both the diagonal and non-diagonal elements of the longitudinal permittivity. Contributions of the untrapped and usual trapped electrons to the imaginary part of the longitudinal permittivity elements are computed for the spherical tokamak plasma in the wide range of wave frequencies.

    133 UA061542 B139p

    Recent progress on the undersatnding of sawtooth oscillations in tokamak plasmas Porcelli F.

    Burning Plasma Research Group Politecnico di Torino Corso Duca degliAbruzzi 2410129 TORINO, Italy [email protected]

    A review of our present theoretical understanding of sawtooth behavior in tokamak experiments is presented. A model for the prediction of the sawtooth period and amplitude is discussed. This model is based on the use of a transport code and a trigger for sawtooth crashes corresponding to the linear stability threshold of m = 1 internal modes. Outstanding nonlinear issues are the sudden onset of the instability, which indicates the occurrence of a "hard" mode excitation, the rapidity of the sawtooth collapse, and the possibility of incomplete magnetic flux reconnection Explanations for the first two of these issues are offered. A heuristic model for partial reconnection, such that the safety factor q remains below unity after the sawtooth crash, is presented.

    134 UA061543 B140p

    Dynamics of Formation and Transport properties of Internal Transport Barriers at T-10, JT-60U and LHD

    S.V. Neudatchin, S. Inagaki*, T. Takizuka**, K. Itoh*, N. Hayashi**, A. Ya. Kislov, Yu. D. Pavlov, Y. Sakamoto **, K. Tamura*

    Nuclear Fusion Institute, RRC "Kurchcttov Institute", Kurchatov sq 1 Moscow 123182, Russia * National Institute for Fusion Science, Toki 509-5292, Japan ** Japan Atomic Energy Agency, Naka Fusion Research Establishment, Naka 311- Keywords: L-H-L transitions, ITB, ITB-cvent, non-local bifurcation of transport, ITB trigger, heat pulse propagation PACS: 52.55.Fa, 55.55.Hc, 52.25.Fi, 52.50.Sw

    Understanding of properties of internal transport barrier (ITB) is of importance for the fusion research of toroidal magnetic confinement Abrupt and non-local confinement bifurcations inside and around ITBs (ITB-events) have been found earlier in JT- 60U [1]. Abrupt in time (ms correlation with L-H(H-L) transitions) and wide in space (from the edge up to -0.3 of minor radius) variations of electron heat diffusivity were found in JET [2] and in reverse sheaT (RS) JT-60U plasmas with ITB [3). Non-local features of transport have been reported recently in LHD [4-6]. Transport is non-local and local at the same time in three machines. The aim of the present report is to highlight new features of the transport dual nature and triggers of ITB-events. In JT-60U, low-order rational values of q determine ITB-events at low power RS shots [7]. ITB-events have been observed as transitions at multiple transport level [7] (without ITB => weak ITB => strong ITB and vice versa). Various cases of ITB-events are presented (without visible triggers, triggered by internal and external MHD-activity). Calculated radial electric field is not varied at ITB-events [8]. The heat pulses propagate slowly inside strong ITB 2 w 2 with dynamic electron heat diffusivity %?* ~ 0.1 m /s. By contrast, the heat pulse propagates fast (%e ~ 1 m /s) in the zone between two ITBs. In T-10, ITB has been recently recognised by means of analyses of HPP induced by central ECRH-onset and cold pulse propagation (CPP) by off-axis ECRH cut-off in a sawtooth-free plasma created by off-axis ECRH [9-10]. Abrupt reduction of transport within CKr/a<»0.4 (kind of ITB-event appeared during gradual decrease of q value) has been reported [10]. In the present report, we show systematical analysis of ITB-events at T-10. Some of ITB-events are connected with the appearance of q=l surface. In many cases ITB-events are not connected with q=l surface Slow diffusive inward CPP induced by spasmodic shrinking (events) of the wide zone with low transport formed by large CgH8 pellets in LHD [11] are described. At some of events, transport abruptly increases inside 40% of minor radius. In all three m 2 devices, inward (outward) HPP and CPP propagate slowly and diffusively (%c ~ 0.1-0.3 m /s). The so-called "heat pinch" is either absent or small enough (the upper limit of inward electron heat pinch velocity is evaluated to be below lm/s) [12].

    REFERENCES

    I .Neudatchin S V, Takizuka T, et al Plasma Phys. Contr. Fusion 1999 41L39 and 2001 43 661 1. Neudatchin S V, Cordey J G and Muir D G 1993 Proc. 20th EPS Con/, on Controlled Fusion and Plasma Physics (Lisboa 1993) vol.I (EPS) p. 83 2. Neudatchin S V, Takizuka T, Shirai H et al 2002 Plasma Phys. Control. Fusion 42 A383 3. Shimozuroa T. et al, IAEA Nucl. Fusion 2005 45 1396 5. Tamura K., Inagaki S, Ida K., et al, Phys. Plasmas 12, 110705 (2005) 6. Inagaki S et al Nucl Fusion submitted 7. Neudatchin S V, Takizuka T, Hayashi H, et al, 2004 Nucl. Fusion 44 945 8. Neudatchin S V, Takizuka T, Sakamoto Y, et a! Nucl. Fusion to be submitted 9 Neudatchin S V., Kislov A. Ya, Krupin V. A. et al 2003 Nucl. Fusion 43 1405 10 Neudatchin S V., Inagaki S, Itoh K., Kislov AYa. et al. 2004 J. of Plasma and Fus. Res. Series 6 134 I1 Neudatchin S. V., Inagaki S, Itoh K. et al, Plasma Phys. Control. Fusion submitted 12 Neudatchin S. V., Inagaki S, Itoh K., Kislov A. Ya et al, Plasma Phys. Control. Fusion subm.

    135 UA061544 ITC12

    A Fermi model for the production of energetic electrons during magnetic reconnection J. F. Drake*, H. Che*, M. Swisdak* and M. Shay**

    *IREAP, University of Maryland, College Park, Maryland 20742 11carus Research, Inc., P. O. Box 30780, Bethesda, MD 20824-0780 "Department of Physics and Astronomy, University of Delaware, Newark, DE19716

    The production of energetic electrons has been documented in observations of solar flaresan d magnetic reconnection in the Earth's magnetosphere, yet the explanation of these observations remainsa n open question. Simulations reveal that magnetic reconnection with a guide field leads to the growth and dynamics of multiple magnetic islands rather than a single large x-line. Above a critical energy electron acceleration is dominated by the Fermi-like reflection of electrons within the resultingmagneti c islands rather than by the parallel electric fields associated with the x-line. Particles trapped within islands gain energy as they reflect from ends of contracting magnetic islands. A Fokker-Planck equation for the distribution of energetic particles similar to that developed in shock acceleration theory is obtained by averaging over the particle interaction with many islands. Steady state solutions in reconnection geometry result from convective losses balancing the Fermi drive. Distribution functions take the form of a powerlaw whose spectral index depends on the mean aspect-ratio of the islands. In large systems we show that the energy content of electrons is linked to the magnetic energy released. The energy content of electrons is a consequence of their high mobility - they can rapidly interact with many islands. The model is consistent with several key solar and magnetospheric observations: the production of large numbers of energetic electrons; the isotropy of the particle distributions at high energy and powerlaw distributions.

    136 UA061545 ITC13

    Sheared-Flow-Driven Plasma Fluctuations in Space and Laboratory

    M. E. Koepke

    Physics Department, West Virginia University, Morgantown, WV 26506-6315 USA Keywords: velocity shear, instabilities, laboratory experiments, space plasma physics. PACS: 52.25.Xz, 52.35.-g, 52.72.+V, 94.05.Rx, 94.20.wf

    Shear in the flow velocity of plasma electrons or ions can have destabilizing effects for electrostatic and electromagnetic waves. Here, laboratory experiments, space observations, and theoretical models are reviewed to provide an overall impression of recent work on shear-flow-driven instabilities and an understanding of the excitation mechanisms. Methods of producing, controlling, and measuring shear in the laboratory are explained. Techniques of estimating shear in the magnetosphere and the ionosphere from satellite and rocket data are described. Examples of corroboration between laboratory and space investigations of shear-related processes are documented. Various phenomenological regimes are identified by a classification scheme based on both obvious parameters, such as shear magnitude, shear-layer thickness, and gyroradius, and not-so-obvious parameters that involve wavevector components. Regimes are characterized by wave frequency as low as zero, associated with the Kelvin-Helmholtz instability and the D'Angelo instability, and as high as the lower-hybrid frequency, associated with the Electron-Ion Hybrid instability and the Buneman instability. Kinetic effects and fluid effects are distinguished. Effects of cylindrical geometry and finite-gyroradius are discussed. Key research topics for the present and near future are emphasized. This work is supported by the U.S. National Science Foundation.

    137 UA061546 ITC14

    Space, solar, and fusion plasmas as complex systems

    R. O. Dendy1'2 and S. C. Chapman2

    ^uratom/UKAEA Fusion Association, Culham Science Centre, Abingdon, Oxfordshire OX14 3DB, UK

    2Centre for Fusion, Space and Astrophysics, Warwick University, Coventry CV4 7AL, UK

    Abstract Complex systems science seeks to identify simple models that capture the key physics of extended macroscopic systems, whose behaviour is governed by multiple nonlinear coupled processes that operate across a wide range of spatiotemporal scales. In plasma physics, such systems include Earth's magnetosphere, the solar corona, and toroidal magnetically confined fusion plasmas. Guided by first principles understanding of the dominant plasma processes considered in isolation - for example, nondiffusive transport in tokamaks, or reconnection in some space and solar contexts - one may construct minimalist models for global system behaviour. Examples considered here include the sandpile approach to tokamaks and the magnetosphere, and a multiple-loops model for the solar coronal magnetic field. Such models can address questions that are inaccessible to analytical treatment and are too demanding for contemporary computational resources; they can yield new insights, but risk being simplistic. Central to their utility is their capacity to replicate distinctive aspects of observed global phenomenology, often strongly nonlinear, or of event statistics, for which no first principles explanation is available. For example, a simple sandpile model, which embodies critical-gradient-triggered avalanching transport associated with nearest-neighbour mode coupling (and little else), can be used to generate[l] many of the distinctive observed elements of tokamak confinement phenomenology such as ELMing and edge pedestals. The same sandpile model also generates [2] distributions of energy-release events whose distinctive statistics match those observed in the auroral zone. Similarly, the multiple- loops model, which embodies random footpoint motion combined with ©connection of intersecting loops (and little else), generates[3] power law distributions for energy- release events similar to those observed in the solar corona. These reduced models thus focus on identifying the physical ingredients that are necessary and sufficient to generate the observed classes of phenomena, or of event statistics.

    [1] S. C. Chapman, R. O. Dendy, and B. Hnat, Phys. Rev. Lett. 86, 2814 (2001) [2] A. T. Y. Lui et al, Geophys. Res. Lett 27, 2397 (2000) [3] D. Hughes, M. Paczuski, R. O. Dendy etal, Phys. Rev. Lett. 90, 131101 (2003)

    This work was supported in part by the U.K. Engineering and Physical Sciences Research Council and Euratom.

    138 UA061547 COOlo

    INHOMOGENEOUS PLASMA PROFILE DEFORMATION DUE TO THE MODULATED ELECTRON BEAM: COMPUTER SIMULATION VIA PIC METHOD

    I.O.Anisimov. O.I.Kelnyk, T.V.Siversky, S.V.Soroka

    Taras Shevchenko National University ofKyiv, Radio Physics Faculty

    Deformation of the plasma concentration profile due to the field of the incident electromagnetic wave was often discussed (see, e.g., [1-3]). For the obliquely incident p-polarized waves of the moderate power concentration profile deformation occurs mainly in the local plasma resonance region (LPRR). Numerical solution ob the initial-boundary problem results to the quasi-periodical generation of the density cavities in LPRR [1-2]. Solution of the stationary problem results to formation of the sharp concentration jump [3]. Relation between these solutions was not clarified. Similar effects were predicted in [4] for the case of the modulated electron beam moving through the inhomoge- neous plasma. This problem was studied in [S] using numerical solution of the non-linear equations' set for the electric field and plasma concentration. In this case problem was solved in the approximation of given beam current. Deformation of the inhomogeneous plasma profile due to the field of the modulated electron beam was treated in this report. The numerical simulation of this problem was carried out using the PIC method for the ID case. The initial plasma concentration profile was linear. The profile of the current density with the initially harmonic modulation should not be distorted very much at the way to LPRR. The characteristic length of the inhomogeneity L was chosen from this condition. Electric field increase in the LPRR took place at the first moments. It was accompanied by intensive oscillations of electron concentration. At the same time Langmuir wave moving from LPRR against the plasma concentration gradi- ent was excited according to the prediction of the linear theory [6-8]. Deformation of the ion concentration profile was observed in the LPRR later. Firstly the short-wave perturbation (in the scale of the LPRR width) appeared, and then the cavity was formed. Deformation of the ion density profile interrupted the Langmuir waves' excitation. In plasma with hot electrons (Te»Ti) the ion-acoustic type perturbations propagated to both sides from the cav- ity [4]. The new peaks of electric field appeared on the local maximums of the subcritical plasma (contrary to [1], where they appeared in LPRR) resulting to new cavities formation. In the late moments the ion concentration profile was strongly indented in the wide region around LPRR due to the short ion-acoustic pulses. In the isothermic plasma (Te=Ti) due to the strong damping of ion-acoustic waves the cavity was transformed into the plasma concentration jump at the late moments. Thois jump moved inside the dense plasma, its velocity was of the order of the ion thermal velocity. Earlier it was proposed to use modulated electron beams as electromagnetic waves' radiators in the inhomogene- ous plasmas. One of the most effective mechanisms such of radiation is transition radiation from LPRR [9]. But the effects discussed above can restrain this radiation. Simulation demonstrated the similar character of plasma density profile deformation in the uniform pumping electric field. References 1. L.M.Kovrizhnykh, A.S.Sakharov. Fizika plazmy, 1980. 6. 150-158. (In Russian). 2. G.J.Morales, Y.C.Lee. Phys. Fluids 1977. Vol.20. P.p.l 135-1147. 3. V.B.Gildenburg, G.M.Fraiman. ZhETF, 1975. 69.1601-1606. (In Russian). 4. LA.Anisimov, D.G.Stefanovsky. Ukr. Fiz. Zhurn., 1988. 33. 38-40. (In Russian). 5. 1-O.Anisimov, O.A.Borisov, O.I.Kelnyk, S.V.Soroka. Probl. of Atomic Sci. and Techn. Plasma Physics (8), 2002. 5. 107-109. 6. N.S.Erokhin, S.S.Moiseev. ZhETF, 1973.65.1431-1447. (In Russian). 7. K.P.Shamrai. J. Plasma Phys., 1984.31.301-311. 8. LOAnisimov, O.A.Borisov. Physica Scripta, 2000.62.375-380. 9. I.O.Anisimov, S.M.Levitsky. Fizika plazmy, 1994. 20. 126-132.

    139 UA061548 C004o

    Different Types of Plasma Turbulence in the Process of Solar Particle Acceleration: New Models and Observations Perez-Peraza J.* and Miroshnichenko L. *

    'Institute de Geofisica, Mexico

    Particle acceleration in space plasmas is considered in two interdependent aspects, the small-scale (microscopic) and large-scale (macroscopic) behaviours. Within the frame of solar cosmic ray (SCR) spectra, we present a study of different kinds of turbulence that presumably can co-exist at the Sun in the sources of accelerated particles: the MHD modes (slow, fast and AlfvLn modes), Langmuir and Bernstein waves. We also analyze the process of particle acceleration in large-scale coronal structures, namely, Magnetic Neutral Current Sheets. Co-lateral inferences are obtained for some cases of SCR, in a series of large solar events (e.g., 29 September 1989, 28 October 2003, and 20 January 2005).

    140 UA061549 C005o

    Geomagnetic Response and Interplanetary Aspects of the Sun-Earth Connection Events on April 1999 and February 2000 Alves M. V.

    LAP - NATIONAL INSTITUTE FOR SPACE RESEARCH AV. DOS ASTRONAUTAS, 1758 12227-010 JARDIM DA GRANJA SAO JOSE DOS CAMPOS, SP, BRAZIL Virginia @ plasma, inpe.br

    In this work we analyze the geoeffectiveness and the interplanetary aspects of a (MC - April 1999, Dst peak = -91 nT) and a complex ejecta (CE - February 2000, Dst = -133 nT). The interplanetary plasma conditions are described in details, and they lead to magnetic storms with distinct characteristics. The energy injection into the magnetosphere is obtained presenting higher power and lower integrated values for the MC. These results reflect the Bz profiles, smooth in the MC and irregular/fluctuating during the CE. The geoeffectiveness of these events is analyzed in terms of the Dst, Kp and AE geomagnetic indices, through correlation analysis.

    141 UA061550 C006o

    Parallel Electron and Perpendicular Ion Energisation via Lower Hybrid and Buneman Turbulence in Low Beta plasmas with Strong Parallel Currents B.F. McMillan and I.H. Cairns

    School of Physics, University of Sydney, NSW 2006, Australia. Keywords: Electron acceleration; magnetic rccoiuicction; ion acceleration; lower hybrid waves; wave-particle interactions; anomolous resistivity; aurora; solar flares PACS: 52.50.-b. 52.35.Vd, 52.35.-g, 52.65.-y, 94.30.cp, 94.05.Pt

    We consider parallel current driven instabilities as a mechanism for current relaxation and particle energisation. First, using linear theory and quasilinear simulations, we explain how Lower Hybrid waves can efficiently compete with parallel waves during the relaxation of the electron drift. Second, using particle simulations, we study this mechanism in detail, and find that parallel and LH waves can be linearly excited with similar intensities. The intense LH turbulence has significant observational consequences including substantial perpendicular ion accelaration, and density variations (of up to ~ 10%) on LH wave scales. The LH waves also allow a more complete relaxation of the electron distribution that may be produced by the parallel Buneman instability alone. We also explain the application of this theory in magnetic reconnection regions with low /} and substantial guide fields, in the Solar corona and in the Earth's aurora.

    142 UA061551

    C007o

    Electron Acceleration due to Lower Hybrid Waves in Magnetic Reconnection Regions

    Iver H. Cairns and B.F. McMillan

    School of Physics, University of Sydney, NSW 2006, Australia.

    Abstract. Magnetic reconnection is widely believed to produce significant acceleration of particles to high energies. Little agreement exists as to how this is done. However, (1) recent Wind observations in and near a reconnection region in Earth's magnetotail show that electrons are energised to parallel speeds near c/2 [1] and (2) lower hybrid (LH) waves are common in Hall-MHD simulations and Wind observations of current sheets and magnetic reconnection regions [ 1,2,3]. Here a new model for electron acceleration in magnetic reconnection regions is developed analytically, tested using quasilinear simulations, and the qualitative predictions compared with observations of reconnection in Earth's magnetotail and the solar corona. The model involves LH waves, produced by a drift instability (LHDI) in reconncction regions, stochastically accelerating electrons parallel to the magnetic field by the Cherenkov resonance (LH drive or LHD). Analytic theory shows that LH waves produced by LHDI have the correct wavenumbers to cause parallel electron acceleration from thermal to highly supenhermal and even relativistic energies, for sufficiently low plasma j5 and long evolution times. Several previous Vlasov and particle-in-cell simulations show growth of LH waves by LHDI [2]. Assuming that LHDI produces LH waves with the wavenumbers and energy densities

    REFERENCES

    1. M. Oierosetet al., Phys. Rev. Lett., 89(19), 195001, (2002). 2. W. Daughton, Phys. Plasmas, 10,3103 (2003). 3. J. Drake et al., Science 299, 873 (2003).

    Keywords: Electron acceleration; magnetic reconncction; lower hybrid drive; lower hybrid waves; wave-particle interactions; magnetolail; solar flares PACS: 52.50.-b, 52.35.Vd, 5i35.-g, 52.65.-y, 94.30.cp, 94.05.Pt

    143 UA061552 C008o

    Wave collapse of drift mode turbulence into zonal flow cavitons Trines R.

    Rutherford Appleton Laboratory Chilton Didcot Oxon OX11 OQX [email protected]

    Wave structures moving down the density gradient associated with the magnetopause boundary. These structures coincide with much higher frequency modes around the lower-hybrid drift frequency, and theory suggests that the two are associated. In this paper we demonstrate that the low-frequency electrostatic solitary structures, also known as zonal flows, are driven by the higher frequency drift modes through wave collapse forming caviton-like structures. Numerical simulations of the wave collapse of drift waves, adapted for the Cluster context, show very good quantitative agreement with the observation. The turbulence is shown to be responsible for a transport barrier between the solar wind and magnetosphere. Similar processes exist in tokamak plasmas where strong turbulence effects are also responsible for wave collapse and zonal flow generations. The adaptability of the drift wave-zonal flow interaction model to tokamak plasma configurations will be discussed.

    144 UA061553 C009o

    Dynamics of edge oscillations and core relaxations in harness Ball R.

    The Australian National University Mathematical Sciences Institute MSI Building 27 The Australian National University Canberra ACT 0200 Australia [email protected]

    Resistive kink oscillations in tokamak plasmas are usually treated as core localized events, yet there there are several mechanisms by which they may harness the edge dynamics. In this work I investigate core-edge oscillatory entrainment through direct propagation of heat pulses, inductive coupling, and global higher order resonance effects.

    145 UA061554 COlOo

    Dusty Plasma Effects In Saturn's Rings Mihily Hor£nyi

    Laboratory for Atmospheric and Space Physics, and Department of Physics, University of Colorado, Boulder, CO, 80309-0392, USA Keywords: Dusly Plasmas, Planelaiy Rings, Saturn PACS: 52.27.Lw; 52.40.Kh; 95.30.Wi;96.12.Uv

    Planetary rings are our best examples of environments where dusty plasma effects can establish the size and spatial distributions of small grains. Simultaneously, dust often influences the composition, density and temperature of the plasma surrounding it. The dynamics of charged dust particles can be surprisingly complex and fundamentally different from the well understood limits of gravitationally dominated motions of neutral particles or the adiabatic motion of electrons and ions in electromagnetic fields that dominate gravity. This talk will focus on recent Cassini observations at Saturn that are best explained by theories describing the effects of the magnetospheric fields and plasmas on the rings. We will compare the theoretical model predictions with in situ and remote sensing observations of the E-ring. We also discuss the physics describing the formation of the 'spokes' and their apparent lack to date in the Cassini images. Spokes are intermittently appearing radial markings in Saturn's B ring which are believed to form when micron sized dust particles are levitated above the ring by electrostatic forces. First observed by the Voyagers, the spokes disappeared between October 1998 and September 2005, when the Cassini spacecraft saw them reappear (Figure 1). These observations show spokes that are much fainter and smaller than those seen by the Voyagers. The trajectories of the charged dust particles comprising the spokes depend critically on the background plasma density above rings, which is a function of the solar elevation angle (B1). Since the ringsar e more open to the sun now than when Voyager flew by, the charging environment above the ring might have prevented the formation of spokes until very recently. Both the E-ring and the spokes offer a unique opportunity to combine observations from a number of different instruments. They can also be viewed as an excellent large scale dusty plasma laboratory.

    Figure 1. The first set of spoke observations by Cassini taken on September 5, 2005 (B' = 20.4°), over a span of 27 minutes. These faint and narrow spokes were seen from the unilluminated side of the B ring. These spokes are « 3,500 kilometers long and « 100 kilometers-wide, much smaller than the average spokes seen by Voyager. These images were taken with a resolution of 17 km per pixel at a phase angle of 145° when Cassini was 13.5° above the dark side of the rings as the spokes were about to enter Saturn's shadow. Courtesy NASA/JPL/SSI.

    146 UA061555 COllo

    A Model for Quantification of Space Weather Phenomena Uberoi C.

    DEPARTMENT OF MATHEMATICS INDIAN INSTITUTE OF SCIENCE BANGALORE 560 012 INDIA cuberoi@matk iisc.ernet. in

    Extension of the Alfven resonance-theory based surface wave induced magnetic reconnection model near the neutral point to magneto-sonic waves show the features of formation of current sheets, plasmoids and effects of thermal catastrophic loss of equilibrium. The catastrophic model for the onset of the substorm can explain both its onset and expansion phase but also its recovery. The timescales agree well with observations. The correspondence of the energy coupling function with the input of energy due to resonance absorption to the Akasofu parameter shows that die magnetic storm is driven by the surface waves at the magnetopause and not directly by the solar wind. Estimating the coupling function from the surface wave velocity and change in amplitude of the normal component of the magnetic field in the magnetosheath allows prediction of the Dst index.

    147 UA061556 C012o

    Particle acceleration and energy spectra in a 3D reconnecting current sheet Zharkova V.

    Department of Computing University of Bradford Bradford BD71DP v. v. zharkova @ brad. ac. uk

    Electron and proton acceleration by a super-Dreicer electric field is investigated in a non-neutral reconnecting current sheet (RCS) with a variable plasma density. The tangential Bz and transverse magnetic field components Bx are assumed to vary exponentially with distances x and z from the X nullpoint; the longitudinal component (a "guiding field") is accepted constant, Electrons and protons are found be fully or partially separated at ejection from an RCS into the opposite halves from the midplane. Particles are also found to gain a bulk of their energy in a thin region close to the X nullpoint where the RCS density increases with z exponentially with the index and the tangential magnetic field Bx also increases with z exponentially with the index. The spectral indices of accelerated particles are shown to be dependent on the indices of transversal field variations and density variations leading to a wide variety (1.5-10) of particle spectral indices deduced from the observations of hard X-rays and y-rays in solar flares. This diagnostic tool can be used for the investigation of magnetic field variations in solar flares or the geomagnetic tail.

    148 UA061557 C013p

    Evolution of Solitary Waves in Complex Media with Variable Dispersion

    Elena S. Belashova*, Sergey V. Vladimirov**

    *Kazan State Power Engineering University, Kazan, Russia **School of Physics, University of Sydney, Sydney, Australia

    We study the problem of dynamics the 2D and 3D solitary waves in complex media with the varying in time and space dispersive parameter P = f$ (t, r). This problem is mainly interesting from the point of view of its evident applications in physics of the concrete complex media with the dispersion. For example, such situation may have place on studying of the evolution of the 3D FMS waves in magnetized plasma, which is described by the Kadomtsev-Petviashvili (KP) equation [1]

    X d,h + lvAsinQhdxh + p(t,r)dlh = (vA/2)j A^hdx (1) where h = B^ IJ B | and 8 = (kAB), in case of the inhomogeneous and/or non-stationary plasma and magnetic field when p is a function of the Alfven velocity VA—f[S(f,T),n(t,r)] (n is the plasma density) and the angle 6:

    P = V^(c /2©0/)(cot 9— me Intj). Similar situation has place for the ion-acoustic waves in a collisions! dusty plasma when in the absence of dissipation and dust-charge variation the dispersion law takes form (Q = kVs where

    Vt = iJ(Te I irij)(nj0 /neQ) + Tj /ntj is the ion-acoustic speed in a dissipationless plasma with constant-charge dust. It is clear that the dispersion will be variable with variation in time and space of ratio of the plasma components' (for example, in case of heterogeneous distribution of dust in space). In this case the equations describing the wave dynam- ics in a collisional dusty plasma are similar to that for ion-acoustic surface waves [1]. One more example, the problem of the propagation of the 2D gravity and gravity-capillary waves on the surface of "shallow" water when coefficient p in the equa- 2 2 tion oftype(l) is defined respectively as P = co/f /6 and P = (co/6)[// -3a/pg] where H is the depth, pis the density, and o is the coefficient of surface tension of fluid (if H = H(t,X, y) the dispersive parameter also becomes the function of the coordinates and time). It is well known that in ID case the ID solutions of the KdV equation with p =const in dependence on value of P are divided into two classes; at | P j < WO(O,JC)//12 (/ is the characteristic wave length of the initial disturbance) they have soliton character, in a return case - they are the wave packets with asymptotes being proportional to derivative of the Airy function. In these cases, the KdV equation can be integrated analytically by the 1ST method. But, even in ID case, if P = P(x, /) such approach is impossible principally, and it is necessary to resort to a numerical simulation in the conforming problems. Similar situation has place in the 2D and 3D models described by the KP equation: if the analytical solutions of the KP equation are known that in case P = P (/, I") the dispersion term of equation becomes quasi-linear and the model being not exactly integrable [1]. We present here the results of numerical simulation on study of structure and evolution of the solitary waves in the model of KP equation with P = P (t, r) distracting from a concrete type of media for different model types of function P which, in terms of the propagation of the waves on shallow water, are: 1) sharp "break of bottom"; 2) gradual "change of a height" of a segment of bottom; and 3) the "oscillations of bottom" with time. As a result we have obtained the dif- ferent types of stable and unstable solutions including the solutions of the mixed "soliton - non-soliton" type for differ- ent character of dispersion variations.

    Reference [1] V.Yu. Belashov, S.V. Vladimirov, Solitary Waves in Dispersive Complex Media, Springer-Verlag GmbH & Co.KG, 2005. 149 UA061558 C016p

    High-Energy Phenomena, Plasma Properties and Particle Acceleration in the Sun's Atmosphere: Observations and Theoretical Implications Miroshnichenko L. * and Perez-Peraza J.*

    *lnstituto de Geofisica, Mexico

    A summary of recent achievements and failures of modem models of generation of solar cosmic rays (SCR), or solar energetic particles (SEPs), is presented. Based on the studies of recent 1S years, we critically compare modern concepts suggested for description of SCR acceleration in the Sun's atmosphere and nearby: acceleration by direct electric fields in the regions of magnetic reconnection in the corona, multiple acceleration in the solar corona, acceleration by CME- driven shocks near the Sun, acceleration at the interplanetary shocks (up to the distances of 1.5 AU). The data presented are of greatest importance to make clear the acceleration mechanisms and plasma properties in the SCR sources.

    150 UA061559 C018p

    Two-fluid plasma description and CMB polarization Moskaliuk S.S.

    Bogoliubov Institute for Theoretical Physics ofNASU 14b Metrolohichna St., UA-03143 Kyiv, Ukraine [email protected]

    Possible effects of large-scale magnetic fields on the Cosmic Microwave Background (CMB) are considered. Depend- ing on the specific branch of the spectrum of plasma excitations, magnetic fields are treated either within a two-fluid plasma description or within an effective (one-fluid) approach. It is argued that the interplay between CMB physics and large-scale magnetic fields are representing a rather interesting cross-disciplinary arena considering possible effects of the linear and circular polarization of an electromagnetic field propagating in a space-time with metric of the Bianchi type. It is shown that, for a free field, the degrees of linear and circular polarization are conserved as the photon travels along a geodesic. The angle of rotation of the polarization plane is calculated.

    151 UA061560 C021p

    Proton Cyclotron Instability in Two-Dimensional Magnetospheric Plasmas with Anisotropic Temperature

    N.I. Grishanov

    Kharkov National University, Department of Physics and Technology, Ukraine

    As is well known, energetic particles (e.g., protons and/or heavy ions) with anisotropic temperature can excite a wide class of cyclotron wave instabilities in the solar corona, solar wind and planetary magnetospheres. As usual, such kind instabilities were studied using plasma models in the straight magnetic field; kinetic theory of the cyclotron waves in the straight uniform magnetic field plasmas is developed very well. However, plasma models in the straight magnetic field are quite rough for the inner Earth's magnetosphere, including the Earth's radiation belts, where the geomagnetic field can be considered as two-dimensional (2D) corresponding to a point magnetic dipole structure. Another interesting model of magnetospheric plasmas is a 2D axisymmetric configuration with circular magnetic field lines, which is artificial but has the more advanced mathematics and convenient to analyze qualitatively some principal wave processes in the Earth's magnetosphere. The main feature of 2D magnetospheric plasmas is the fact that the parallel velocity of charged particles moving along the geomagnetic field lines is not constant (in contrast to a straight uniform magnetic field case). As a result, all plasmaspheric particles are magnetically trapped bouncing between the mirror points (where their parallel velocity is equal to zero) and the wave-particle resonance conditions involve both the cyclotron and bounce resonances. Accordingly, the cyclotron wave instabilities in the Earth's magnetosphere (plasmasphere) should be analyzed by solving the Maxwell's equations with a correct 'kinetic' dielectric tensor. In this paper, we derive the dispersion equation for field-aligned electromagnetic ion-cyclotron (EMIC) waves in 2D magnetospheric plasmas with dipole and circular magnetic field lines. The main contribution of the trapped particles (both the ions and electrons) with anisotropic temperature to the transverse dielectric permittivity is estimated by solving the linearized Vlasov equation for their perturbed distribution functions accounting for the cyclotron and bounce resonances, neglecting the drift effects, and assuming the weak connection of the left-hand and right-hand polarized waves. Numerical code has been developed to analyze the dispersion characteristics of EMIC waves in a hydrogen (electron-proton) magnetospheric plasma with circular magnetic field lines using the bi-Maxwellian distribution function to model the energetic protons. As in the uniform magnetic field case, the growth rate of the proton-cyclotron instability (PCI) in the 2D magnetospheric plasmas is defined by the contribution of the energetic ions/protons to the imaginary part of the transverse permittivity elements. We demonstrate that the PCI growth rate of EMIC waves in the 2D axisymmetric magnetosphere at the geostationary orbits can be significantly smaller than that is for the straight magnetic field case with the same macroscopic bulk parameters; it means, that the previous studies of EMIC waves in the inner Earth's magnetosphere based on the plasma models in the straight magnetic field could therefore be seriously in error.

    152 UA061561 C024p

    Fractal Structures of Solar Supergranular Cells U.Paniveni*, V.Krishan*, Jagdev Singh* and R.Srikantht

    'Indian Institute of Astrophysics, Koramangala, Bangalore-560034, India ^Optics Group, Raman Research Institute, Bangalore-560080, India Keywords: Sun: Supcrgranulation - turbulence - fractal dimension

    We employ fractal analysis to study the complexity of supergranulation structure using the Solar and Heliospheric Observatory (SOHO) dopplergrams obtained during the phase. Our data consists of 200 visually selected supergranular cells, for which we find a broad, slightly asymmetric dispersion in the size distribution, with the most probable size around 31.9 Mm. From the area-perimeter relation, we deduce a fractal dimension D of about 1.25. This is consistent with that for isobars, and suggests a possible turbulent origin of supergranulation. By relating this to the variances of kinetic energy, temperature and pressure, it is concluded that the supergranular network is close to being isobaric and that it has a possible turbulent origin. Also we are exploring a possible dependence of fractal dimension of the supergranulation structure on the phase.

    153 UA061562 C026p

    Dynamics of the 3D FMS Soliton-like Beam Structures Progating in Plasma of Ionosphere and Magnetosphere

    Vasily Yu. Belashov*, Elena S. Belashova*, Sergey V. Vladimirov**

    *Kazan State Power Engineering University, Kazan, Russia **School ofPhysics, University of Sydney, Sydney, Australia

    We study the formation, structure, stability and dynamics of the multidimensional soliton-like beam structures forming on the low-frequency branch of oscillation in the ionospheric and magnetospheric plasma for the case when 2 P = 47t»77 B «1. In this case with the conditions dxa, -eBI Me, kkD «1, the fast magnetosonic (FMS) wa- ves are excited. Their dynamics under conditions kx »k\, vx «cA near the cone of angles 8 = arctan(M//»)"2 is described by the 3D Generalized Kadomtsev-Petviashvili (GKP) equation for magnetic field h = B_l B with due account of the high order dispersive correction defined by values of plasma parameters and the angle 8 = {B,k) [1]

    ^ l l ), A±=a*+a*; (1)

    2 4 2 , y2 =vA-^-r-\ 3\melmi -cot 8|-4cot 8(l + cot 0J . 2co0/ 8d)8d)00// L J where the operator V determined by the damping rate v(k) of the monochromatic wave includes both the collisional and collisionless (Landau) contributions, V = V^ + Vjr, [2]. To study stability of multidimensional solitons in a dissipationless case ( V = 0) we used the method developed in [I] and investigated bounding of the Hamiltonian of eq. (1) written in form d, h = 3x(5H/6w) with

    2 2 2 2 (dxhf +\(d xh) +(Vxdxw) -2h*]dr, d xw = h fe = Yi I Y2 I" > ^ = S8n(72) J w'tn 'te deformation conserving momentum by solving the corresponding variation problem. To study evolution of soliton-like structures and their collision dynamics including the cases when dissipative effects are significant the proper equations were being integrated numerically using the codes specially developed and described in detail in [2]. As a result, we have obtained that for the single soliton-like initial structures on a level with wave spreading and collapse the formation of multidimensional solitons can be observed. These results may be inter- preted in terms of self-focusing phenomenon for the FMS waves' beam as stationary beam formation, scattering and self-focusing of wave beam. The soliton-like structures* collisions on a level with known elastic interaction can lead to formation of complex soliton-like structures including the multisoliton bound states (so-called "bi-solitons" [2]). For all cases the problem of multidimensional soliton dynamics in the ionospheric and magnetospheric plasma including all stages of their evolution (such as initial subfocusing of the FMS wave beam, nonlinear saturation and defocusing which leads in some cases to the stationary beam formation) and collision dynamics is investigated in detail. Special attention was given to the cases when the dispersive parameters are the functions of time and space coordinates, and also to case of presence in a plasma the stochastic fluctuations of the wave field. So, we investigated different cases of evolution of the beam including the case of its destruction with transit of the system to chaotic turbulent regime.

    References [1] V.Yu. Belashov, Plasma Phys. And Contr. Fusion, 36,1661 (1994) [2] V.Yu. Belashov, S.V. Vladirnirov, Solitary Waves in Dispersive Complex Media. Theory, Simulation, Applications (Springer-Verlag GmbH & Co. KG, Berlin-Heidelberg, 2004) 154 UA061563 C113p

    Earthquake and Tsunami induced stormlike signatures in the Ionosphere: Theoretical investigation

    E. Alam Kherani, G. Occhipinti, R. Garcia and P. Lognonne

    Equipe Planelohgie et Etudes Spaliales de I'lnstilut de Physique du Globe de Paris, 4 ave de Neptune, 94107 Saint Maur des Fosses, France Classification: C. Plasmas in Astrophysics and Space Physics Keywords: Tsunami, Ionosphere Acoustic and gravity waves generated by earthquakes and tsunamis are known to produce identifiable neutral wind fluctuations in the atmosphere and density fluctuations in the Ionosphere1. During the large earthquakes, the GPS and loworbiting altimetry satellites have often detected the fluctuations in the total electron content (TEC). These fluctuations occupy a wide frequency domain covering both acoustic and gravity waves. Moreover, for the giant Tsunami event like Sumatra2, the TEC variations are found to be as large as the variations noted during geomagnetic storm. In this report, we study the linear and nonlinear response of the ionosphere to the acoustic and gravity waves induced by the Earthquakes. To study the linear response, the firstorder perturbation analysis is performed using closed set of hydromagnetic equations. At first step, the windfield corresponding to certain surface displacement is generated by linear wavepropagating3 model. In response to such fluctuating neutral wind induced by the acoustic and gravity waves, the perturbed electric field and electronic density amplitudes are derived from the linear analysis. To study the nonlinear response, these equations are solved numerically4. The standard IRI, NRLMSIS and SAMI models are used to obtain the atmospheric and ionospheric input parameters for the nonlinear simulation. Such study should enable us to compare the numerical results with the observations.

    REFERENCES

    1. J. Artru, P. Lognonne, G. Occhipinti, F. Crespon, R. Garcia, E. Jeansou, M. Murakami, Tsunamis detection in the ionosphere, Space Res. Today, 163, august 2005. 2. T. Lay, H. Kanamori, C. J. Ammon, M. Nettles, S. N. Ward, R. C. Aster, S. L. Beck, S. L. Bilek, M. R. Brudzinski, R. Butler, H. R. DeShon, G. Ekstrom, K. Satake, S. Sipkin, Tbe great Sumatra-Andaman earthquake of 26 December 2004, Science, 308, 1127-1133,2005 3. R. Garcia, P. Lognonne and X. Bonnin, Detecting atmospheric perturbations produced by Venus quakes, Gcophys. Res. Lett, 1O.1O29/2OO5GLO23558,2005. 4. E. Alam Kherani, M. Mascarenhas, J.H.A. Sobral, Eurico R. de Paula and F.C. Bcrtoni, A three dimension simulation of collisional-interehange-instabitity in the Equatorial-low- latitude Ionosphere, in press, Space Science Review, 2006.

    155 UA061564 C114p

    Comparative analysis of density fluctuations in the solar wind and the Earth's foreshock with application to scattering of radio waves Khotyaintsev M. V.

    Uppsala University Uppsala, Sweden Dept. of Astronomy and Space Physics Box S37.SE-751 21 Uppsala, Sweden [email protected]

    Density irregularities in space plasmas are known to scatter radio waves, affecting the observed angular size and intensity of the radio sources. In this work we study and compare the effect of the angular broadening of radio waves in a solar wind and the Earth's electron and ion foreshock. We estimate the coefficients of the angular broadening on the basis of density fluctuation spectra observed by the Cluster spacecraft, and show that the value of the coefficient depends on the region, with maximum value being in the ion foreshock and minimum in the solar wind.

    156 UA061565 C115p

    Gas-dynamical Description of the Propagation of a Cloud of Hot Electrons through a Plasma with Decreasing Number Density Sobhanian S.

    Department of atomic and molecular physics, Tabriz university 29Bahman boulevara\51664,Tabriz.Jran sobhanian @ tabrizu. ac. ir sobhanian @ rifs. ac.ir

    The dynamic of a cloud of hot electrons propagating through a cold background plasma is investigated in the regime of fast relaxation, where the relaxation time of the beam distribution function is much shorter than its propagation time. Gas-dynamic theory is extended to obtain analytical expressions for the height of plateau, wave spectral density, wave energy density, and beam number density and the results are compared with the numerical simulations of the quasilinear equations. It is shown that, contrary to the case of uniform plasma, the velocity of propagation is no longer constant, but the system keeps its self-similarity during the course of propagation. In spite of decrease in the number of hot electrons, the beam always satisfies the condition of fast relaxation, which is related to decease in the number density of background plasma. The results are specially applicable for propagation of the hot electron beams generated during solar flares, streaming through solar wind plasma and generating Langmuir waves and the associated type III radio emissions.

    157 UA061566 C117p

    THE REVISED GRV MODEL OF ACCRETION DISC CORONA Sadovski A.

    Space Research Institute (1KJ) SRIRAS, Profsouzrwya 84/32, Moscow, Russia, 117997 [email protected]

    The idea that the observed features of X-ray spectra of the galactic black holes candidates can be explained by the presence of a hot corona around cold accretion disk is not new. From the end of 70th, when first model of accretion disk corona and disk-corona models was proposed, such models have received much attention. Investigation of X- ray spectra of Active Galaxy Nuclears also indicates the hard X-radiation comes from hot regions located above the disk. Like solar corona, the corona of accretion disk should by strictly inhomogeneous and heated by reconnecting magnetic loops emerged from the disk due to the Parker instability (Galeev, Rosner, Vaiana model, GRV). However, recently it was found that GRV mechanism is able to dissipate only small fraction of total energy released from the disk. Investigation of MHD turbulence in the disk indicates presence of magnetorotational instability efficiently generates magnetic energy in the disk and helps to explain the rate of energy dissipation. In proposed work we assume to combine the GRV model and magnetorotational instability to obtain the necessary dissipation rate which can give us the theoretical explanation of the observational features of Galactic black holes.

    158 UA061567 C118p

    Laboratory modeling and artificial stimulation of the magnetospheric maser effects

    A. S. Belov, Yu. V. Chugunov,* G. A. Markov, and L. L. Popova

    Department ofRadiophysics, University ofNizhnyNovgorod 23 Gagarin Ave., Nizhny Novgorod 603950, Russia ' Institute of Applied Physics, Russian Academy of Sciences 46 Ul'yanov Sir., Nizhny Novgorod 603950, Russia

    We develop a method for creation of the magnetospheric plasma resonator formed by a high-frequency whistler range discharge in the linear mirror magnetic system. It is shown that the distributions of the magnetic field, plasma density in the discharge channel, and transverse scale of the waveguide along the magnetic mirror system in such a resonator are similar to those in a magnetospheric duct with enhanced plasma density and are typical of natural magnetospheric resonators in the whistler and Alfven frequency ranges. Nonequilibrium behavior of the plasma in the laboratory model is ensured by the hot part of discharge electrons trapped in the mirror magnetic system due to their large transverse velocities. At low pressures in the discharge tube (p < 10"4 Torr), it is possible to observe the entire spectrum of the electromagnetic instabilities in this resonator. For example, in [1] the results of a study of generation of the ion- cyclotron lines by ions of the plasma-wave discharge are presented. This paper discusses the results of laboratory modeling and artificial stimulation of the maser effects in the Earth's magnetosphere at the bounce frequencies of oscillations of the fast electron beams between the magnetic mirrors. These oscillations have a noise character due to thermal dispersion of the electron velocities. However, in the low-pressure discharge, the presence of the sufficiently intense electron beams is observed as the maxima of intensity of the noise radiation at the bounce frequencies corresponding to the electron energies. A useful increase and isolation of the bounce oscillation intensities is observed if the frequencies of the electromagnetic eigenoscillations of the resonator coincide with the bounce frequencies of the electron beam oscillations. The formation of the artificial plasma waveguide (density duct) in the Earth's ionosphere has been realized by means of the controlled radio-frequency (rf) discharge in Ihe "Active filament" rocket experiments [2]. The experimental data on the observation of the excitation of bounce oscillations of 40-keV electron beams, stimulated by the rf discharge in the Earth's magnetosphere, will be presented.

    ACKNOWLEDGMENTS

    This work was supported by the Russian Foundation for Basic Research (project No. 04-02-16506-a).

    REFERENCES

    1. Yu. V. Chugunov, V. V. Dobrokhotov, N. M. Lukshin, and G. A. Markov, Plasma Phys. Rep. 31,646-651 (2005). 2. Yu. V. Chugunov and O. A. Markov, J. Atmos. Sol. - Terr. Phys. 63, 1775-1787 (2001).

    159 UA061568 C120p

    Influence Of Centrifugal And Radiation Reaction Forces On Dynamics Of Relativistic Charged Particles Moving In The Magnetospheres Of The Rotating Astrophysical Objects G.T Dalakishvili*, A.D.Rogava1' and V.I. Berezhiani**

    *lvane Javakhishvili Tbilisi State University, Faculty of Exact and Natural Sciences, Institute of Physics, Plasma Physics Department, 3, Chavchavadze Ave., Tbilisi, 0128, Georgia. ^Georgian National Astrophysical Observatory, 2a,Kazbegi Ave. Tbilisi-0160,Georgia. "Institute of Physics, The Georgian Academy of Science, 6 Tamarashvili St., Tbilisi, 0177 Georgia. Keywords: Active Galactic Nuclei, pulsars, emission, radiation reaction, relalivistic, centrifugal. PACS: 95.30.Qd

    Astrophysical objects such as pulsars and Active Galactic Nuclei (AGN) are characterized with the wide spectrum of the emission: from radio emission to the y-ray emission. The emission extended up to TEV energies is observed in these objects. The proposed mechanisms of the high energetic emission's formation , requires existence of the relativistic charged particles with the Lorentz factors: 103 — 106. Up to now it remains an open question how this acceleration is achieved. Rotating inagnetospheres of the AGNs and pulsars could significantly affect the dynamics of the particles motion, leading to their efficient acceleration. When considering the charged particle centrifugal acceleration the "bead-on-the-wire" approximation is used. It is assumed that the charged particles move along the rotating magnetic field lines which are anchored in the rotating object and the particles could be accelerated due to the centrifugal forces. It is important to study the efficiency of the charged particle centrifugal acceleration in the case when the radiation losses are taken into account. When one needs to consider the radiation reaction-^/? force, one has to bear in mind that there is no general agreement in the literature about the correct expression for this force. In particular the famous expression given by Lorentz, Abraham Dirac (LAD), is characterized by serious qualitative defects: this expression leads to the so-called run-away solutions, the equation of motion obtained using the LAD expression is the third order equation rather than the second order in the time derivative of the particle position, so that giving the initial position and velocity does not determine the solution uniquely, finally the fact that the self-exerted RR force is induced by the external force and vanishes when the force vanishes, is not reflected in the Lorentz-Abraham-Dirac expression! At the other hand it is known that the general LAD expression has an approximate limit: the case, when run-away solutions are absent. Rohrlich argued that the expression for the RR force obtained by Spohn, which coincides with the approximate LAD one also given by Landau and Lifshitz in the case when the RR force acting on the particle is rather less than external force in the particle reference frame, is exact. In the present consideration we use Landau-Lifshitz-Rohrlich, (LLR) model for the RR force. We show that in certain cases the RR force is bigger than the centrifugal force, and causes the centripetal motion of the particle. We found that for the particles, moving along the field lines of a certain shape, exists the location where the RR force balances the centrifugal force and the particle is in a stable equilibrium. In the case of the unlimited motion of the particle, the RR force gradually decreases and in the infinity the motion of the particle becomes force-free and moves with the constant radial velocity.

    160 UA061569 C121p

    Galactic Emission Mapping with a 5 GHz Polarimeter Ivan S. Ferreira*, Camilo Tello*, Thyrso Villela* and George Smoot1"

    * Division of Astrophysics, INPE-Av. dos Astronautas, 1758. Jd. da Granja, Sao Jose dos Campos-SP, 12227010 Brazil * Physics Dept., University of California, 366 Le Conte Hall, Berkeley CA 94720, USA Keywords: Astrophysical Plasmas: Galactic Synchrotron Emission, Radioastronomy: polarimelry PACS: 95.30.Gv, 98.35.-a, 95.55Jz, 95.75.Hi, 95.85.Bh

    The Galactic Emission Mapping (GEM) project is devoted to characterize the Galactic emission processes that dominates in the frequency band between 408 MHz and 10 GHz. Indeed, this project mapped the sky in 408 MHz, 1465 MHz and 2.3 GHz in the past years. Now the 5 GHz polarimetric survey are underway, and when finished it will be the first large scale polarized survey of the Galactic emission in frequencies above 1-.4 GHz. The physical mechanisms responsible for the emission processes at microwave band, namely synchrotron, free-free (bremsstrahlung) and thermal dust, are very well known, except perhaps for the emission from spinning dust, which was not rigorously detected yet. However, the parameters that govern those emissions, in the sense of spatial and spectral dependences, are not well defined, so new data are needed. Among the aspects which has not been defined, we can exemplify the case of the interstellar magnetic field, which has a mean value between 6 JJG and 10 juG, both for regular and random component. Polarization measurements at 5 GHz will help the constrain the magnetic field intensity and rebuild the regular fieldlines , and also, in a joint analysis with 1.4 GHz measurements, rebuild the lines parallel to the field of view, and constrain the random component of the field. The GEM 's radiotelescope is now at Cachoeira Paulista's observational site, localized at 22o4l'0.74" S, 44°59'54.34" W. It employs a 5.5 m - diameter dish, protected from ground radiation by 5 m - high fences. The antenna scans the sky maintaining always the same elevation (30° from zenith) and rotating in azimuth at 1 r.p.m., so for each rotation the antenna's beam traces a circular path in the sky, and for an observation day we have a stripe that covers as much as 33% of the sky. Unlike the others receivers, which are not sensitive to polarization, the 5 GHz receiver is a pseudo-correlation polarimeter that can recover three of the Stokes parameters: I, Q and U. To achieve this, the signal split by an orthomode transducer into two radiometric chains are pseudo-correlated, generating a signal that has a DC component proportional to I, and an AC component proportional to U or Q, depending on the system orientation. The 5 GHz polarimeter is composed by a corrugated feed horn. After that, a calibrator, that includes 8 mark injectors at a circular waveguide, is used. It monitors the gain of the system, for at least three polarization orientations. Then a circular to square waveguide transition is employed, followed by the orthomode transducer, designed to assure a polarization separation at a level of -60 dB. At this point, two independent chains of components begin, showing first low noise cryogenic amplifiers, with a gain of 31 dB. The amplifiers are kept under 77 K inside of a dewar containing LN2. Following the amplifiers filtersdefin e the observation band to be between 4.8 and 5.2 GHz. The next components are amplifiers with 41 dB of gain, and a phase-shift, responsible for the polarized signal modulation at 100 Hz. Finally the hybrid tee, that multiply the signals, and a detection diode close the chain. AH these components are kept in a very well controlled environment, with a constant temperature of 36" C. The first part of the data acquisition system is composed by lock-in amplifiers, that recovers the modulated information, and by a Chebychev filter, that recover the unpolarized (unmodulated) signal. After that the signal is integrated, independently, by 0.56 s. The radiometric sensibility is about 0.9 mK.

    161 UA061570 C122p

    Dynamic effects of radiation interaction in the self-gravitating systems Zheleznyak O.

    National aviation university, Kiev

    In the work several models of radiation interaction in the symmetrical, asymmetrical and nonstationary gravitational fields are examined. In the spherical-symmetrical field of the self-gravitating center the orbits of particles taking into account the influence of radiation interaction and magnetic field are calculated. Depending on the parameters of particles and characteristics of radiation and gravitational interaction the orbits in the form of the lines of the second order and more complex spiral-shaped trajectories are possible. In dual self-gravitating systems the influence of radiation interaction leads to different displacement of the known points of Lagrange. Are investigated also the models of particle motion in the field of the pulsatory self-gravitating ellipsoid.

    162 UA061571 C124p

    Influence of dust particles on attenuation of magnetic field and dynamics of the space plasma Zheleznyak O.

    National aviation university, Kiev

    Is in the present work carried out a study of the influence of dust component on the electrical conductivity of substance in the the dense of self-gravitation gas-dust clouds taking into account of magnetic field, rotation and gravity. Damping magnetic field substantially it turned out that influences, its own configuration. If in the gas-dust layer magnetic field is azimuthal, then the characteristic time of its damping of 107 years. Characteristic time of delay of up to 105 years is strengthened and, correspondingly, decreases with the more elongated configurations of the magnetic field of its damping.

    163 UA061572 C125p

    Dynamics of the Beam Driven Langmuir Wave Packet in a Plasma with Random Inhomogeneities K. Musatenko*'1", V. Krasnoselskikh* and V. Lobzin*

    *LPCE/CNRS, 3A, Avenue de la Recherche Scientifique, 45071, Orleans, CEDEX2, France 'National Taras Shevchenko University ofKyiv, 64, Volodymyrs'ka St., 01033, Kyiv, Ukraine

    The presence of the inhomogeneities in plasma can significantly influence the development of instabilities. The properties of the beam driven waves vary along their trajectories due to the presence of the density fluctuationsthe y encounter. The statistical properties of the waves observed in the space plasmas depend upon the density perturbations amplitudes and spatial scales [1], Under certain conditions small amplitude inhomogeneities give rise to the deflection of the wave vector from its initial direction and as a result to its angular diffusion. The kinetic instability of the beam in a plasma with random inhomogeneities was investigated in [2]. The authors took into account the growth of the spectral energy density of beam driven Langmuir waves and an angular diffusion that shifts the wave out of resonance with a beam. They found an analytical solution of the corresponding equation for the case when the characteristic time of the diffusion is much smaller than the time of the wave growth. In our model, we consider finite amplitude inhomogeneities that result in changes of the wave phase velocity and thereby of its growth rate. The wave can pass to a region of the growth due to the resonance with a beam and then to the damping region. At the same time we also keep the effect of the angular diffusion of its wave vector. The aim of our work is to study the dynamics of the spectral energy density of the Langmuir wave packet crossing one resonant region. To this end we solve numerically the equation that takes into account the effects described above. To do that we use a double sweep method described in [3]. As a result we get a spectral energy density distribution as a function of coordinate and angle along the passage of inhomogeneous region. We found that the growth of the wave exhibits almost exponential dynamics with certain effective increment that can be considerably weakened due to the diffusion. We investigate the dependence of this effective increment on the instability growth rate and diffusion coefficient. This work is a firstste p of the program of the wave statistical properties studies. Having knowledge of the spectral energy density dynamics during one inhomogeneity crossing and the information about the distribution of these inhomogeneities one can find a probability distribution function of the waves propagating in plasma with randomly distributed inhomogeneities to explain the observational data.

    REFERENCES

    1. J. Soucek.V. Krasnoselskikh, T. Dudok de Wit, J.Pickett, and C. Kletzing,/ Geophys. Res., 110, A08102 (2005). 2. Kyoji Nishikawa, and D. D. Ryutov, Journal of the Physical Society of Japan, 41, No. 5,1757-1765 (1976). 3. E. V. Mishin, A. A Trukhan, and G. V. Khazanov, Plasma effects of superthermal electrons in the ionosphere, Nauka, Moskow, 1990, pp. 7-14:

    164 UA061573 C126p

    Dust Charge Distribution in Near-Earth Plasma: Analytical Solution of Discrete Population Balance Equations Klymenko Y.

    Space Research Institute NAS and NSA of Ukraine 40, Akad. Glushkova Ptvsp., Kiev-187, 03187, Ukraine [email protected]

    At zero emission rates we have applied the discrete population balance method and have found the stationary solution for the charge distribution on grains of different radii. When applied to near-Earth dusty plasmas, we have shown that the envelope of the discrete distribution is similar to Gaussian one up to 10-nanometer grains. We have found that the ratio of the mean grain surface energy to the electron temperature is not a constant as predicted earlier. For 10-nanometer grains the ratio is almost twice greater the value obtained for micrometer-sized grains.

    165 UA061574 C127p

    Electric Structure of a Reconnection Separatrix Region Khotyaintsev Y.

    Swedish Institute of Space Physics Box 537, SE-7S121 Uppsala, Sweden [email protected]

    We present multipoint spacecraft observations of a magnetic reconnection separatrix region at a large (several Earth radii) distance from the X-line. We identify which terms in the generalized Ohm's law explain the observed electric field. The strongest fieldinsid e a thin ~ c/wpi Hall layer, is supported by the JxB/ne term. If mapped to the ionosphere, field aligned currents inside the Hall layer would have large magnitudes and can be responsible for strong dayside aurora.

    166 UA061575 C128p

    The Role of Electron Transport in Generating Ion Shocks in Dense Targets Irradiated by Intense, Short Laser Pulses Sherlock M.

    Rutherford Appleton Laboratory Chilton Didcot Oxon OX11 OQX [email protected]

    Ion shocks may be generated after the interaction of an intense, short laser pulse with a dense target (e.g. pre- compressed DT fuel capsules). The source for ion acceleration is the electric fieW determined by the distribution of electrons. We study the role played by the transport of fast electrons through the target during the laser pulse and their subsequent relaxation to some thermal distribution on the field generation and ion dynamics. We make use of a 1D2P Vlasov-Fokker-Planck model, coupled to Maxwell's equations, to describe the electron transport with an assumed hot electron generation mechanism. The electric field is determined by the balancing of the collisionless forward and collisional return currents through the target. The ions may be described either by a simple hydrodynatnic model or an ion particle model which allows for relaxation of the shock via ion-ion collisions.

    167 UA061576 C131p

    Singular behavior of axisymmetric magneto-rotational instability near the central object of an accretion disk M. Purukawa, Z. Yoshida, M. Hirota, and V. Krishan* Grad. Sch. Frontier Sci., Univ. Tokyo, Kashiwa, Chiba 277-8561, Japan tIndian Institute of Astrophysics, Bangalore 560034, India

    Magneto-rotational instability (MRI)[1, 2] in accretion disks[3] has attracted much attention in astro- physics research since Balbus and Hawley pointed it out as a candidate for explaining the "anomalous" angular momentum transport in accretion disks[4]. In Ref. [4], the MRI was studied by local analysis which assumes a sinusoidal wave in the radial and height directions of the accretion disk. The radial mode structure was taken into account in Refs.[5, 6], however, the inner boundary was set at a finite radial position. In this paper, we study the radial mode structure of axisymmetric MRI especially near the massive central object. Here we adopt the incompressible version of the linearized magnetohydrodynamics (MHD) equations including equilibrium plasma flow[7]. If we assume the equilibrium flow v = RQ(R)6 and the magnetic field B = J3Z and apply the Fourier representation for the perturbation £ in the vertical direction and time as exp(ikZ - \u)t), we obtain an eigenvalue problem or a second-order differential equation in the radial direction. This equation can be further rewritten in the form of the Schrodinger equation by transforming the radial component of £ as f/j = ifi/VM; then we obtain

    where O/A is the Alfv6n frequency. If the equilibrium flow is Keplerian, (I2 — GMR~3 where G is the gravity constant and M is the mass of the central object, the potential V diverges as R~3 by approaching R = 0. More generally, when the equilibrium rotation is S72 = GMRP, the potential V becomes

    4 L (w2-w2)^ J Then p < -2, including the Keplerian rotation, yields the irregular singular point at R = 0 and p > -2 the regular singular point. In the region with R -C 1, we can approximate the above equation as

    ^- (3)

    This may give oscillatory (in R) solutions if A is positive and the radial wave number increases as approaching the origin. In fact, we have found that the above equation can be written as the Bessel equation by transforming the coordinate as x := i£

    (4) where J and F are the Bessel functions. The two independent solutions both goes to zero as approaching the origin for continuous values of negative u>2. This might lead to phase mixing even for growing modes.

    References [1] E. P. Velikhov, Sov. Phys. JETP 36(9), 995 (1959). [2] S. Chandrasekhar, Proc. Nat. Acad. Sci. 46, 253 (1960). [3] A review is given in, for example, S. A. Balbus and J. F. Hawley, Rev. Mod. Phys. 70, 1 (1998). [4] S. A. Balbus and J. P. Hawley, Astrophys. J. 376, 214 (1991). [5] B. Dubrulle and E. Knobloch, Astron. Astrophys. 274, 667 (1993). [6] C. Curry, R. E. Pudrltz and P. G. Sutherland, Astrophys. J. 434, 206 (1994). [7] E. Frieman and M. Rotenberg, Rev. Mod. Phys. 32, 898 (1960).

    168 UA061577 C132p

    Thermodynamic and Transport Properties of a Dense Semiclassical Plasma

    T.S.Ramazanov and K.N.Dzhumagulova

    1ETP, Al Farabi Kazakh National University, ,96a, Tole bi, Almaty, 0500J'2,Kazakhstan

    The investigation of thermodynamic and kinetic properties of the dense semiclassical plasma is of interest for study of astrophysical objects and is of key importance for creation of controlled nuclear fusion installations. In present paper the effective polarization potentials of interaction between particles of partially ionized dense semiclassical plasmas are obtained on the basis of the dielectric function [1,2]. These pseudopotentials are deduced taking into account quantum-mechanical effects at short distances as well as screening effects at large distances. On the basis of these potentials we have investigated the transport and thermodynamic properties of dense semiclassical plasma [3,4]. The scattering cross sections of such plasma were calculated by partial wave method. The transport properties (electrical conductivity, diffusion, thermal conductivity, etc.) were studied for the dense plasma with the Chapman-Enskog method. The radial distribution functions are calculated by numerical solving of HNC integral equations. The thermodynamic functions (equation of state, internal energy, etc.) are investigated on the basis of the microscopic properties. The results were compared with experimental and theoretical data of the other authors.

    REFERENCES

    1. T.S. Ramazanov, K..N. Dzhumagulova, Physics of Plasmas 9,3758 (2002) 2. T.S.Ramazanov, K.N.Dzhumagulova, Yu.A.Omarbakiyeva, Physics of Plasmas 12, 092702(2005) 3. T. S. Ramazanov, K.N. Dzhumagulova, A. Zh.Akbarov, J.Phys.A: Math. And Gen. 39, (2006) 4. T. S. Ramazanov, K.N. Dzhumagulova, M.T.Gabdullin, J.Phys.A: Math. And Gen. 39, (2006)

    169 UA061578 C133p

    Electron-Atom Collision Cross Sections in Partially Ionized Dense Plasma

    T.S. Ramazanov, K.N. Dzhumagulova, Yu.A. Omarbakiyeva, G.Roepke1

    IETP, AlFarabi Kazakh National University, 96a, Tole bist, Almaty, 050012, Kazakhstan, 'institute of Physics, University of Rostock, D-18051, Rostock, Germany

    The scattering of electrons by atoms has been of widespread interest for many years, particularly in the fields of non ideal dense plasma. Comparison of theoretical calculations of elastic cross sections with experimental results has been used to study effective polarization interaction potential between charged particles with atom in partially ionized plasma. The present work is continuing of previous works [1,2], where polarization pseudopotential was suggested. Elastic cross sections in partially ionized plasma with following parameters T = 103 +10* AT,

    ne=nt= 10 •*• 10 cm' are considered on the basis of the effective polarization potential, which takes into account quantum -mechanical and screening effects. The cross sections for elastic scattering processes of the atomic hydrogen on electron have been studied by the partial wave expansion method. The phase shifts are obtained by solving the Calogero equation [3]:

    ^ = ~U(r)[cosSl(k,r)-Jl(kr)-smSl(k,r)ftl(kr)f (1)

    with boundary conditions: S,(k,0)-0, limS,(k,r) =8,, where J,(kr), n,(kr) are the Rikkati-Bessel functions, k is wave number, U(r) is the interaction potential. The scattering processes are considered at low energies of electrons and obtained results are compared with theoretical and experimental dates of other authors.

    REFERENCES

    1. T. S. Ramazanov, K.N. Dzhumagulova, Yu. A. Omarbakiyeva. Phys.Plasmas. 12,092702 (2005). 2. T. S. Ramazanov, K.N. Dzhumagulova, Yu. A. Omarbakiyeva, G.Roepke. J.Phys.A: Math. And Gen. 39, (2006). 3. V.V.Babikov. The Method of Phase junctions in Quantum Mechanic, Moskow:Nauka, 1976.

    170 UA061579 C144p

    Stationary self focusing of Gaussian electromagnetic beams in the ionosphere Sharma A.

    Lucknow University H.No. 4/202, New Malhar.Sahara States, Jankipuram, Lucknow - 226021, India

    The self focusing of a Gaussian electromagnetic beam in the ionosphere has been investigated in the paraxial approximation, when the wave frequency is much higher than the electron collision frequency and the electron cyclotron frequency; the radial redistribution of electron/ion density on account of nonuniform Ohmic heating by the Gaussian beam is taken as the dominant self focusing mechanism. Using the energy balance equation (considering the solar radiation) and the available data base for the mid latitude day time ionosphere, the irradiation, corresponding to different values of the electron temperature has been evaluated. A curve fit yields (at a given height) a relatively simple analytical representation of the electron temperature as a function of irradiance. This expression has been used to obtain an analytical equation for the critical curve (the relation between initial beam width versus initial axial irradiance for propagation without change in beam width). It is seen that, the critical curve has two humps, which implies that there may be none, one, two, three or four values of critical axial irradiance, corresponding to a given beam width; such a possibility has not been pointed out before. The beam width - beam power plane may be divided in three regions, corresponding to self focusing, oscillatory divergence and steady divergence of the beam. The dependence of the beam width parameter on the distance of propagation has been obtained for three typical points in the three regions. The numerical results correspond to horizontal propagation at a height of 150 Km in day time mid latitude ionosphere for the wave frequency v = 5,107.y~' and duration less than the electron concentration relaxation time, during which the electron density, remains almost unaffected by the enhanced electron temperature.

    171 UA061580 C145p

    Numerical and laboratory simulations of auroral cyclotron radiation processes

    D.C. Speirs, S.L. M£Conville, K. Ronald, A.D.R. Phelps, A.W. Cross, R. Bingham, C.W. Robertson and C.G. Whyte

    SUPA Department of Physics, University of Slrathclyde, Glasgow, G4 ONG, Scotland

    I. Vorpul and R.A. Cairns

    School of Mathematics and Statistics, University of St. Andrews, St. Andrews, KYI 6 9SS, Scotland

    R. Bingham and BJ. Kellett

    Space Physics Division, CCLRC, Rutherford Appleton Laboratory, Didcot, OXU OQX, England

    Results are presented of an experimental and numerical investigation of radiation emissions from an electron beam with a horseshoe distribution in velocity space. This process is relevant to the phenomenon of Auroral Kilometric Radiation (AKR) which occurs in the polar regions of the Earth's magnetosphere. In these regions of the auroral zone, particles are accelerated into the increasing magnetic field of the Earth's dipole. In the laboratory experiment an electron beam with an initial spread in velocity was injected into an increasing magnetic field leading to the formation of a horseshoe shaped velocity distribution, in simulation of the auroral process. This distribution function is expected to be unstable to emission of cyclotron radiation [1,2], and was therefore investigated as a potential mechanism for the generation of auroral kilometric radiation. Results were obtained from electron beams with energies of 75-80keV and cyclotron frequencies of 4.45 and 11.7GHz. The radiation emission was measured using a real time FFT spectrometer and was observed to be close to the cyclotron frequency. Measurements of the electron beam transport characteristics confirm that the horseshoe distribution was obtained in the experiment. Determination of the radiation antenna pattern at the output of the experiment allowed the complex TE mode structures excited by the beam to be analysed and numerical integration provided an estimate of the efficiency. At 11.7GHz, multimode excitation with an efficiency of —1% was observed whilst at the lower cyclotron frequency of 4.45GHz the highest efficiency obtained was 2% corresponding to an output power of 19kW. This was achieved using a cyclotron detuning of 2.5% below the cut-off frequency of the TEo.i radiation mode in the apparatus. These results are in close agreement with the predictions of the 2D PiC code KARAT. The efficiency is also comparable with estimates for the AKR generation efficiency [3].

    1. Speirs DC et al, 2005, Journal of Plasma Physics, 71, pp665-674 2. Vorgul I et al, 2005, Physics of Plasmas, 12, article: 122903 3. Gurnett D.A., 1974, Journal of Geophysical Research, 79, pp4227-4238

    172 UA061581 C146p

    Electromagnetic Wave Scattering from the Relativistic Electron Beam Ahmadizadeh T. Y.

    Tabriz University 14 Ebadi Kanjani Alley Reihani Street Shams Abad TEHRAN IRAN [email protected]

    Stimulated coherent scattering of EM waves by the relativistic electron beam in the three wave approximation is investigated for non-collinear geometery when incident and scattered wave propagate in arbitrary angle with respect to the beam direction, the dispertion relation obtained allow to the investigate Raman and Compton scattering region in the same way and the effect of the longitudinal external magnetic fieldo n the electron motion in the combined wave field as well. Increasing increment for scattered and combined wave in different regions is obtained.

    173 UA061582 C147p

    New concepts in space thrusters Boswell R.

    Australian National University SP3/PRL RSPhysSE ANU Canberra ACT 0020, Australia [email protected]

    Our group has been developing innovative concepts in space thrusters involving both plasma and ion beam systems. Plasma thrusters eject a fast plasma stream and are inherently neutral. Ion beams require a separate electron source to neutralise the positively charges ion beam. The basic physics behind these new systems developed at the ANU is described along with the most appropriate areas of usage. Actual data from experiments, simulations and testing will be given to show what future directions can be taken using these ideas.

    174 UA061583 C148p

    Kinetic effects on the parametric decays of Alfve'n waves in relativistic pair plasmas V. Munoz1, T. Hada2, and S. Matsukiyo2 1Departamento de Ffsica, Pacultad de Ciencias, Universidad de Chile, Chile department of Earth System Science and Technology, Kyushu University, Japan Abstract Parametric decays of a circularly polarized wave propagating along a constant magnetic field Bo in an electron-positron plasma are studied. Fully relativistic effects on the particle velocity in the wave field are considered, as well as kinetic effects in the longitudinal direction, by means of a one- dimensional relativistic Vlasov equation. The fluid dispersion relation for a relativistic Alfven wave is

    where wo and ko are the frequency and wavenumber of the wave, respectively, j = p for positrons, j — e for electrons, u>jp is the plasma frequency, ilj is the gyrofrequency, and 7

    Some numerical examples are shown, where parametric decays of the modulational and decay type are present.

    References [1] V. Mufioz, Phys. Plasmas 11, 4883 (2004). [2] L. Stenflo and P. K. Shukla, Phys. Plasmas (2004).

    175 UA061584 C149p

    WHISTLER MODE TRANSITION RADIATION OF THE MODULATED ELECTRON BEAM ON THE SMOOTH PLASMA BOUNDARY

    O.V.Samchuk, O.I.Kelnyk

    Taras Shevchenko National University ofKyiv, Radio Physics Faculty 60 Volodymyrs'kaSt., 01033, Kyiv, Ukraine oles@univ. kiev. ua

    Whistler waves' radiation is one of the obtained results of the experiments when the electron beams were injected into the ionosphere plasma [1], Transition radiation of the modulated electron beams can be one of the mechanisms of this radioemission. This kind of radiation was studied theoretically in the couple of works [2,3] but mostly for the sharp plasma boundary model. But, one can see that the efficiency of the whistler transition radiation can be increased for the case of weakly inhomogeneous plasma, where the Cherenkov resonance conditions are satisfied in some region. The considered model presupposes the radiation exciting by the cylindrical modulated electron beam with given current that moves in the weakly inhomogeneous anisotropic plasma along the constant magnetic field direction and concentration gradient. The electromagnetic field of this radiation and its energy flux are calculated for the whistlers emitted from the region where the Cherenkov resonance conditions are satisfied. This radiation in the given point is a superposition of the waves radiated from the different points of Cherenkov resonance region under the corresponding angles. Radiation pattern forms at the distances much larger than the inhomogeneity characteristic length. These dependencies have a large amount of maxima due to the interference between the partial waves radiated from different Cherenkov resonance points. As a result of radioemission of the resonant region that is much larger than radiation wavelength, the maxima in radiation pattern groups with some periodicity. The general shape of this radiation Pointing vector angular dependencies varies depending on beam radius, electron cyclotron frequency and plasma concentration gradient. The density of radiation pattern maxima increases with the increasing of beam transversal size because more Cherenkov resonance points participate in the radiation. One also can see that the angular band where most of radiation emitted becomes narrower when the beam radius increases. If one varies some other parameters like electron cyclotron frequency or plasma concentration gradient, the size of the Cherenkov resonant region also varies correspondingly. As a result, there will be a variation of maxima density in the radiation pattern. Estimations for the total radiated power show that the radiation efficiency is much greater than the efficiency of the transition radiation on the sharp plasma boundary. But note that these estimations for the large efficiencies require more accurate model than the considered model of given current.

    References 1. J. Lavergnat, T. Lehner. // IEEE Trans.-1984.-Vol. AP-32.-#2. P.p.177-181. 2.1.O.Anisimov, O.P.Vygovs'ka, O.I.Kelnyk. //Ukr.phys. zhurn. 2001. Vol.46. #5, P.p.557-566.(in Ukrainian) 3.1.O.Anisimov, O.I.Kelnyk.// Visnyk Kiev. Univ. Series: Phys.&Math. 1998. #4. P.p. 238-242.(in Ukrainian)

    176 UA061585 C150p

    Plasma Irregularities in the Lower Ionosphere Yu. Kyzyurov* and Yu. V. Kyzyurovf

    'Main Astronomical Observatory NASU 03680 Kiev, Ukraine 1MAO NASU 03680 Kiev, Ukraine Keywords: plasma, ionosphere, turbulence PACS: 94.05-a; 94.20.-y; 94.20.Vv; 94.20.wg

    In the lower part of the ionosphere, the electron-ion plasma is a passive contaminant involved in motions of the neutral gas. There an important role in generation of plasma irregularities belongs to the neutral air turbulence [1,2]. Because of strong coflisional damping, not always theory of plasma instabilities can explain an appearance of fluctuations in plasma density below the turbopause level (100-120 km). A three fluid model based on the continuity and momentum equations for both the ions and electrons, along with the quasi-neutrality condition, and under the given velocity field of incompressible gas was adopted to describe the generation of plasma irregularities [1]. From the starting set of equations, the relation between the plasma density fluctuations and the gas velocity field was derived. Length-scales of the fluctuations and the random velocity field were restricted to an inertial range of turbulence. In this range the velocity field is homogeneous and isotropic and its spatiotemporal spectrum tensor is well known [3]. The obtained relation and the spectrum tensor gave opportunity to receive an analytic expression for the spectrum of plasma fluctuationsresulte d from turbulent mixing of the lower ionosphere and the formula for estimation of its rms level of deviation from the mean plasma density No. Using the expressions, changes in the irregularity spectrum and in the level of fluctuations (which can be measured during the rocket experiment) under changes from daytime to nighttime ionosphere conditions were analysed. In the nighttime ionosphere for the given height h, the plasma density NQ and the length-scale LN of its local vertical gradient l0 3 are smaller than those in the daytime. For h — 97 km, where No — 3.9 x 10 m~ , LN « 8 km during daytime, and 3 No = 4.3 x 10* m~ , LN as 4 km at night, it is shown that the fluctuationleve l and the slope of the spectrum have to be larger at night. Under the considered ionosphere conditions and the unchanged parameters of the turbulence, the rms level of relative plasma-density fluctuations was changed from 0.03 to 0.05 and the power index p (if the irregularity spectrum is approximated by a power law k~p) from 1.9 to 2.25 for plasma irregularities smaller than 400 m. The obtained results do not contradict to data of observations. Thus the spectrum of plasma irregularities in the lower ionosphere has to respond to changes in the ionospheric parameters.

    REFERENCES

    1. B. N. Gershman, Dynamics of Ionospheric Plasma, Nauka, Moscow, 1974. 2. K. Schlegel, J. Amos. Terr. Phys., 54,715-723 (1992). 3. W. O. McComb, Rep. Pros. Phys., 58,1117-1206 (1995). 4. S. I. Martynenko, and L. F. Chernogor, Geomagn. Aeron., 16,658-665(1976).

    177 UA061586 C151p

    Quasi classical Kinetics of Highly Excited Atomic States Population in Laboratory and Astrophysical Plasmas

    M.G. Levashova, V.S. Lisitsa

    NFIRRC "Kurchatov Institute". Kurchatovsq. 1, Moscow, 123182, Russia

    The results of three-dimentional (in energy, angular momentum and its projection space) numerical modeling of the steady-state classical radiative-collisional kinetics for high temperature dense plasma are presented. The highly excited state electron is considered to be a subject to collisions with plasma particles and radiative cascade to lower atomic states with atomic states being populated by various sources. The classical kinetic equation obtained in [1] for three-body recombination source of population from the continuum was solved here numerically using a second order finite difference approximation to two dimensional (since it is not dependent on angular momentum projection) nonseparable elliptic partial differential and boundary conditions operators on a uniform grid. Line relaxation method in both the energy and angular momentum directions was employed [3]. The analytical solution of this problem for arbitrary source of population for radiative cascade only was obtained in [2] (both in classical and quasi-classical approaches). Here we presented the results of calculations for photorecombination as well as three-body recombination source of population. The results obtained are shown to be in agreement with those of [2] for lower atomic states where the collisions with plasma particles are not essential. This allowed tracing the transition to the limiting cases of purely radiative cascade [2] and purely collisional diffusion over atomic states. Given the divergence between theoretical and experimental data on recombination rates measuring experiments on storage rings it is very important to improve understanding of Rydberg atomic states populating mechanism and develop the working radiative-collisional kinetics model. The classical approach is more preferable here since the problem reduces to finding a solution of only one differential equation and gives a transparent picture of the system behavior. This approach can be employed for radio lines broadening interpretation in astrophysics [4].

    1. Belyaev S.T., Budker G.I., In the book: Plasma Physics and Nuclear Fusion Research, under the editorship of M.A. Leontovich, Moscow: Academy of Sciences of the USSR publisher, 1958 vol.3, p.46. 2. Kukushkin A.B., Lisitsa V.S., Sov. Phys. JETP, 61 (1985) 937. 3. J. Adams, "MUDPACK: Multigrid Fortran Software for the Efficient Solution of Linear Elliptic Partial Differential Equations," Applied Math, and Comput vol.34, Nov 1989, pp.113-146. 4. M.B. Bell, L.W. Avery, E.R. Seaquist and J.P. Valiee, Public. Astron. Soc. of the Pacific: 2000, 112, 1236-42

    178 UA061587 C152p

    Stable and unstable response of the plasma in the ionospheric F region to the spatial packet of atmospheric gravity waves (AGW) of the lithospheric origin

    Rapoport Yu. G.

    Kiev National Taras Shevchenko University, Kiev, Ukraine

    Boundary conditions for excitation of AGW by the lithospheric source are obtained. It is proposed to take into account spectral peculiarities of the excited AGW including the presence of reactive (non- propagating vertically) modes. Spatial asymmetry of the ionospheric response (IR) in the oblique geomagnetic field and presence of the maximum of dependence of the IR on the AGW period are shown using 2D model. Connection between spatial shapes of the IR and lithospheric source are found using 2D and 3D models. The new analytical and numerical model for the response of unstable near-equatorial ionosphere is proposed. We propose that the observed seismogenic excitations of plasma concentration in the equatorial F-region after strong earthquakes could be connected with the excitation of the spatial packet of AGW by the lithospheric source and subsequent development of the Rayleigh-Taylor instability (RTI). In distinction to the known theory of RTI, we took into account the driving force for the RTI connected not only with vertical, but also with horizontal component of the AGW velocity; moreover, the last exceeds the other components of the driving force. Development of the plasma instability in the presence of not a single harmonic AGW, but of a wave packet excited by the lithospheric source is searched. Results of calculations correspond qualitatively to the main features of observed structures in near-equatorial plasma after strong earthquakes (reported by Fedorenko A. K., et al.): (1) regions of plasma perturbations are shifted for few thousand kilometres to the west relatively to the maximum of AGW field in the presence of the east wind; (2) spatial periodicity with typical periods ~ 600-800 km is revealed both in neutral and plasma oscillations; (3) regions of plasma perturbations are localized and have typical dimensions of order of 1000 km; (4) maximal value of amplitude of order of 60-80% could be reached, which proves a presence of instability. We propose that observed structure of the IR could be explained by the dynamics of two groups of (possibly) unstable plasma modes (in the presence of wind and ion motion): modes with horizontal wavelength (~800 km), very closed to the boundary between vertically propagating and reactive modes, and with much wider spectrum, shorter wavelengths, lower amplitudes and (possibly) larger increments of instability. The effect of localised structure formation could be "linear analogy in the unstable media" (with subsequent nonlinear stabilization) of nonlinear development of narrow wave fronts.

    179 UA061588 C153p

    Response of the unstable near-equatorial F region of the ionosphere to the atmospheric gravity waves excited by the sources of seismic origin

    Rapoport Yu. G.(1), Hayakawa M.(2), Gotynyan O. E.(3), Ivchenko, V. N.(1>3), Fedorenko A. K.(3)

    (>)Kiev National Taras Shevchenko University, Kiev, Ukraine (2)University of Electro-Communications, Tokyo, Japan ®Institute for Space researches, NAS and NSA of Ukraine, Kiev, Ukraine

    Ionospheric response (IR) to the spatial packet of atmospheric gravity waves (AGW), radiated by the lithospheric source, is searched numerically and compared with the results of satellite observations after strong earthquakes. Given bell-shaped spatial distribution of the vertical velocity of the AGW on the ground level is used. Spectrum of AGW (horizontal) velocity in the F region includes two groups of modes which could cause development of the Rayleigh-Tailor instability (RTI) in the ionosphere: (a) modes with largest amplitudes in the very close vicinity to the spectral boundary between vertically propagating and non-propagating (reactive) modes with wavelength of order of 800 km for AGW period 40 min; (b) and much wider spectrum of modes with much shorter horizontal wavelength, lower amplitudes and possibility of larger increment of RTI. Different possible dynamical regimes of the development of IR with and without RTI and with different development of two above mentioned gropes of modes are revealed and studied. An influence on the IR of the following factors are searched in the frame of 2D model: (1) of horizontal and vertical ton velocity in the absence of wind; (2) of horizontal wind together with ion motion; (3) of presence or absence of the RTI for the ionospheric modes drawn by the AGW closed to the boundary between reactive and vertically propagating modes; (4) contribution into IR of the ionospheric modes excited by AGW propagating under oblique angle to the geomagnetic field is under consideration. Solution of this problem is the part of the development of 3D model of IR.

    The model is valid, what is proven by qualitative coincidence between observed spatial scales, location, shapes and relative values of IR and neutral perturbations, observed after strong earthquakes and corresponding characteristics obtained by means of the numerical modelling.

    180 UA061589 C154p

    Spectral Approach to Numerical Integration of the GKP-Class Equations in the Problems of Nonlinear Wave Dynamics Simulation Elena S. Belashova*, Vasily Yu. Belashov*, Sergey V. Vladimirov**

    *Kazan State Power Engineering University, Kazan, Russia **Schoot of Physics, University of Sydney, Sydney, Australia

    The 2D and 3D nonlinear waves propagating in dispersive media (for example, ion-acoustic (IA) and magnetosonic (MS) waves in space plasma) are described by the equations' class [1] I 5,w + aw^M + ^p^/+1w = $R (1) where u — u(t,x,T±) is a function defining the wave field, and 9? = 9?[«] is a some linear functional of u. The form of right-hand side of eq. (1) depends on the wave properties of medium and the dispersion sign, and the value of L is defined by the dispersion character. For example, in the cases of IA waves propagating in isotropic plasma and MS waves propagating in plasma near transverse direction to magnetic field when the dispersion law has form

    | k |—> 0, and 8/ are the dispersion "scales", functional SH has the form 9? = K.V±w, dxw~ V ±n. In this case for L~\, 2 eq. (1) is the Kadomtsev-Pctviashvili (KP) or the generalized KP equation, respectively:

    2 2 dj d,?/ + aw5xw + ^p,df% UKALM, A±=d y+d z, (2) L M J and it can have the ID, 2D and 3D wave solutions localized in space dependently on L value and signs of coefficients

    P, and K . In case of strong anisotropic media functional 5R = KALdxu , and eq. (1) known as Zakharov-Kuznetsov equation has the soliton-like solutions too. The 2D KP equation (L-l, dz = 0) can be integrated analytically using the 1ST method, but this method allows to obtain the exact solution only under certain initial conditions [2]. The technique of 1ST method for the integration of the 3D KP equation and the 2D and 3D generalized eq. (2) with /,=2 is not developed now. Therefore, development of the numerical technique for integration of the eq. (1) class is of indubitable interest for the nonlinear plasma physics. In this paper we consider spectral approach for. the numerical integration of the equations of class (1) describing the dynamics of IA and MS waves in a plasma on the basis of eq. (2) with L~2 which is rather simple and very effective and doesn't require big time and memory expenditures. This approach was first used for study of some problems of nonlinear evolution of the FMS wave beam in magnetized plasma [3] and can be generalized easily for all equations of class (1). Performing the Fourier transform we write eq. (2) in the form d,U + JW + gU—0 where f = /a£>/2, 2 2 2 2 2 l ^=C/*i7)g=-^K (P1-rP^ )-r (C +<; )] and assumed that f=-if.g =-ig. U = X + iY,

    W = ZX+ iZ2 , we rewrite equation as the set d,X - f'Z2 -- g'Y = 0, d,Y + f'Zl -f g'X = 0 and solve it by the Runge-Kutta method with due account of the problems connected with singularity of coefficient g' on the plane of \ — 0 and suppression of the Gibbs oscillations using the spectral windows of special form.

    References [1] V.Yu. Belashov, Proc. ISSS-5, Kyoto, Japan, 118 (1997) [2] V.Yu. Relashov, S.V. Vladimirov, Solitary Waves in Dispersive Complex Media, Springer-Verlag GmbH & Co.KG, 2005. [3] V.Yu. Belashov, Plasma Phys. And Contr. Fusion, 36, 1^61994) UA061590 C155p

    Type III Solar Radio Burst: An Archetypal Stochastic Growth System

    Bo Li, Peter Robinson, and Iver Cairns

    School of Physics, University of Sydney, New South Wales 2006, Australia Keywords: electron beams; Langmuir waves; ion-sound waves; type III ; quasilinear interactions; nonlinear wave-wave interactions; numerical simulation. PACS: 42.25.Dd,S2JS.-g,52.6S.-y

    Type III solar radio bursts sometimes show harmonic pairs with radiation near the electron plasma frequency and its second harmonic. The emission mechanism consists of a sequence of steps: (i) a semi-relativistic electron beam generates primary Langmuir waves via a beam instability; (ii) the primary Langmuir waves undergo electrostatic decays and generate product Langmuir waves and ion-sound waves; (iv) the ion-sound waves stimulate the primary Langmuir waves to produce electromagnetic emission at the fundamental frequency; and (iv) the nearly oppositely-directed Langmuir waves coalesce and generate electromagnetic emission at the second harmonic of the plasma frequency. We present here the first simulations of type III bursts that incorporate both small-scale and large-scale density inhomogeneities, and include the dynamics of the beam, Langmuir and ion-sound waves and electromagnetic radiation. The evolution of the radiation in coordinate and phase space are explored for illustrative parameters of type III bursts in the corona and interplanetary space. These are the first simulations that show the evolution of a beam- Langmuir wave system to a stochastic growth state.

    182 3aM. 12 OopMaT 60x90/16 O6JI.-BIM. ApK. 12.44

    jpyicy 19.04.06 HaKJiaa380 Ilojiirpa4)iHHa ^ijibHHiw ITO iM. M.M. Boronio6oBa 13th International Congress on Plasma Physics (ICPP 2006)

    Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine May 22-26,2006

    BOOK OF ABSTRACTS

    Part II. Sections D, E l(gP KIEV 2006

    UA061591 ITDll

    Experimental Studies of Drift Wave-Zonal Flow Turbulence

    C. Holland, J.H. Yu, A. James, D. Nishijima, M. Shimada, N. Taheri, G.R. Tynan

    Department of Mechanical and Aerospace Engineering University of California San Diego La JollaCA 92093 USA

    A turbulent-generated azimuthally symmetric radially sheared plasma fluid flow is observed in a cylindrical magnetized helicon plasma device with no external sources of momentum input A turbulent momentum conservation analysis shows that this shear flow is sustained by the turbulent Reynolds stress and the turbulent particle flux generated by collisional drift turbulence in the device. In the wavenumber domain this process is manifested via a nonlinear transfer of energy from small scales to larger scales. Simulations of collisional drift turbulence in this device have also been carried out, and clearly show the formation of a shear flow quantitatively similar to that observed experimentally. The results integrate experiment and first-principle simulations and validate the basic theoretical picture of drift-wave/shear flow interactions.

    183 UA061592 ITD12

    EXTENDED HELICON SOURCE WITH PERMANENT MAGNETS

    Francis F. Chen

    Department of Electrical Engineering, UCLA

    Although helicon sources are well known to produce high plasma densities with modest rf power, they have not been widely accepted by industry because they require a dc magnetic field. The magnet and its power supply are costly in expense, weight, space, and complexity. Use of permanent magnets had been unsuccessful because the field shapes do not permit injection of the plasma into a remote chamber. We have devised a system that overcomes this obstacle, permitting multiple sources to cover arbitrarily large areas for use in web-coating and etching of flat-panel displays. Extensive measurements and computations have been done to optimize source and antenna geometry, magnet configuration, rf frequency, and source spacing at various pressures and rf powers.

    184 UA061593

    ITD13

    Laboratory Plasmas Applied To The Hydrogen Economy (Fuel Cells)

    C. Charles', P. Brault2, A. Caillard1'2, D. Ramdutt1, R. Boswell1, and A. Dicks3

    /. Space Plasma, Power and Propulsion group (SP3), PRL, RSPHYSSE. Australian National University, Canberra, ACT 0200, Australia 2. GREM-CNRS Laboratory, University of Orleans, BP6744, F-45067, Orleans, France 3. School of Engineering, The University of Queensland, Brisbane, QLD 4072, Australia

    A major thrust of the hydrogen economy is to replace carbon-based fuels in transportation with hydrogen. One of the most promising candidates for this particular application is the PEMFC (Proton Exchange Membrane Fuel Cell) as it operates at low temperatures (less than 110 degres Celsius), is rather efficient, can be minatiurized and can cover a large power range. Fuel cell buses are being trialed in a number of countries as a result of the extensive research and development of these fuel cells for the past few decades. The properties of thin films deposited from a plasma are critically dependent on the flux, energy and charge state of the particles striking the growing surface, in particular the various components of a PEMFC. Plasmas improve deposition quality, decrease process time, and open new paths for rapid commercialization. We are working to bring the 1970s plasma revolution in microelectronics to the hydrogen economy sector. Plasma sputter deposition of the platinum catalyst onto porous films of carbon has shown great promise: aggregates of platinum are detected in the film with a density profile which decreases away from the surface exposed to the plasma. The small size of the nano-aggregates allows very effective catalytic action necessary for efficient fuel cell operation. Increasing the deposition also blocks the porosity of the electrode, decreasing the gas flow and reducing efficiency. Controlling the energy of the deposition species will avoid the gas choking of dense very thin layers. The energy deposited by the plasma can also be used to functionalize commercial Nafion proton exchange membranes suggesting the necessity of controlling the various plasma parameters for alternate scenarios such as the plasma deposition of the PEM.

    185 UA061594 ITD14

    Supersonic Flow Generation for Basic MHD Studies and Space Applications

    M. Inutake, A. Ando, K. Hattori, M. Shibata, T. Makita, T. Komagome and Y. Kasashima

    Department of Electrical Engineering, Graduate School of Engineering, Tohoku University 6-6-5, Aoba-yama, Sendai, 980-8579, Japan

    The roll of a high-beta, supersonic plasma flow is quite important for basic researches on MHD phenomena in space and fusion plasmas. There is few experimental investigation on the production and control of a fast flowing plasma in spite of the growing significance of the plasma flow researches. We developed a magneto-plasma-dynamic arc-jet (MPDA) to produce a quasi-steady supersonic plasma flow and improved its performance by applying various shapes of a magnetic nozzle configuration. As an ion Mach number A/| of the plasma flow is directly related to the ratio of the plasma flow energy to its thermal energy, it is very important to control the Mach number of the plasma flow. In high density plasmas where the ion Hall parameter cOciTtj <1, ions would behave as a fluid passing through a magnetic flux tube and A/s should vary in the same manner of a compressible gas flow. It was demonstrated that a supersonic plasma flow was obtained using a magnetic nozzle and Mi attained up to almost 3 in a slowly-divergent magnetic nozzle. When a converging and diverging magnetic mirror field i.e. a magnetic Laval nozzle was installed in the supersonic flow, a standing shock wave was observed upstream of the magnetic throat, and the subsonic flow behind the shock was re-accelerated up to a supersonic flow with Mi =1 at the throat Specific heat ratio yj of ions was estimated by comparing the measured profile of the Mach number with an isentropic flow model. In low density plasmas where the ion Hall parameter CDcjTjj > 1, the thermal energy of gyrating ions is converted to a flow energy in a divergent magnetic field with the magnetic moment \i constant. We could successfully heat ions in the flowing plasma by ICRF (ion-cyclotron-range of frequency) waves from 5eV to nearly lOOeV with the density of 10I7m'3. The increased thermal energy was converted to a flow energy by passing through a diverging magnetic nozzle. This method is inevitable to realize an advanced thruster such as the VASIMR proposed in NASA for a manned interplanetary space mission. We can successfully control the plasma flow parameters in a wide range of plasma density by adjusting the shape of the magnetic flux tube and by utilizing the ICRF heating of a supersonic plasma.

    186 UA061595 ITD21

    Treatment of Waste Materials in Thermal Plasma

    M. Hrabovsky

    Institute of Plasma Physics, ASCR, ZaSlovankau 3, Prague 8, Czech Republic

    Use of plasmas for destruction of waste or dangerous materials and decomposition of persistent chemical substances - liquid, gas and solids, has been investigated in the last decade. Various types of plasmas have been used, non-thermal and thermal, pulsed, alternating and dc. Special attention has been paid to thermal plasma, as thermal plasma is capable of complete destruction of treated material, vitrification of inorganics and gasification of organic components followed by decomposition of gas molecules into simple atoms and molecules. Possibility of production of synthetic gas, which could be used as a fuel, from organic materials has been studied as well.

    The paper gives survey of thermal plasma sources used for waste treatment and discusses an effect of their characteristics on performance properties. Special attention is given to the arc plasma torches. Processes controlling flow structure, heat transfer and material decomposition in plasma reactors are described and their influence on decomposition of treated materials is discussed. Plasma reactor with gas/water-stabilized arc for pyrolysis and vitrification of materials, installed at IPP Prague, is described and results of first experiments with decomposition of solid substances are presented. The performance characteristics of the reactor are compared with published data and its specific properties are analyzed.

    187 UA061596 ITD22

    Wake-Fields Excitation in Plasma/Dielectric for Advanced Acceleration Schemes

    I.N. Onishchenko

    National Science Center "Kharkov Institute of Physics and Technology " Academic St. 1, Kharkov 61108, Ukraine E-mail: onish(3)Jcipt.kharkov.ua

    The theoretical and experimental investigations of intense wake fields excitations in plasma or dielectric media by a sequence of short bunches of relativistic electrons are overviewed including ones performed in Kharkov Institute of Physics and Technology. The conception of novel high gradient accelerators based on stimulated wake-fields is considered. The advantages and shortcomings of proposed conception are discussed both in plasma and dielectric in comparison to methods of acceleration by plasma wake-fields excited by a single short electron bunch or laser impulse. The theoretical investigations and simulation come to Lagrangian approach for nonlinear wake field excitation and self consistent motion of bunch electrons in plasma/dielectric and. The exact solution of the problem of electromagnetic field excitation by a charged bunch in a semi-infinite and transversally bounded case is represented. Contrary to the existing works where the asymptotic methods (saddle-point technique) were used and results obtained are right only for far time we have derived the expressions describing excited electromagnetic field at arbitrary place and time. For this a number of successive conform transformations of integration area were applied in order to carry out the inverse Fourier transformation. Integration along the initial infinite straight-line contour was substituted by integration along the closed circular contour. This allowed separating out the integral presentation of the Bessel function and obtaining the final solution in the form of infinite converging series containing the Lomrnel function of two variables. We succeeded in separating of excited transition and Cherenkov fields. The role of group velocity and quenching wave at longitudinal and transversal finiteness is determined. In the report the physical principles of novel accelerator are stated that use stimulated dielectric wake field in two-beam accelerating scheme. The results of theoretical investigations and simulation are represented for three essential virtues exploited: a - stimulated excitation of wake field in dielectric waveguide by a sequence of bunches, providing coherent summation of wakefield of separate bunches; b - multimode excitation, allowing to obtain the sequence of short impulses of high amplitude; c - locked mode, destined for removal of the limitation on quantity of coherently exciting bunches. Experimental results are given on dielectric wakefield excitation by a sequence of bunches (2 MeV, 6-103 bunches of charge 0.32 nC and duration 57 psec each) (NSC KIPT, Ukraine) and frequency spectrum of the wakefield (BNL, USA). Planned experiments are discussed - locked mode (NSC KIPT) and wakefield excitation in rectangular dielectric waveguide by E-beam modulated with 5 TW C02 laser (Columbia Univ., Omega-P. Inc.). 10 bunches (3.5 fsec, 1 pC each) allow exciting accelerating field -0.6 GeV/m. In other experiment it is supposed to excite wakefield 0.95 GeV/m by a sequence of 105 MeV bunches 1 nC each. 104 modules will accelerate the test bunch to 1 TeV.

    188 UA061597 DOM©

    Interaction of Microwave Radiation Undergoing Stochastic Phase Jumps with Plasmas or Gases

    Karas' V.I., Alisov A.F., Artamoshkin A.M., Gavrilenko I.V., Zagorodny A.G*., ZagrebeFny LA., Lontano M**., Mirny V.I., Potapenko LF***., Us V.S.

    NSC "Kharkov Institute of Physics ^Technology" ofNAS qfUkraine,61108, Kharkov, I Akademicheskaya Sir. *BogoIyubov Institute of Theoretical Physics ofNAS ofUkraine,03I43, Kiyv, 14b Metrologichna Sir. ** Istituto di Fisica del Plasma, Associazione Euroatom-ENEA, Italy,20125,Milan, 53 Roberto Cozzi Str. **">KeIdysh Institute of Applied Mathematics ofRAS, 125047, Moscow, Miusskaya sq.4 Keywords: intense stochastic microwave radiation, hybrid plasma waveguide, overcriticai plasma, microwaves with a stochastically jumping phase, transmission coefficient, gas breakdown, microwave gas discharge, collisionless electron heating. PACS numbers.- 52.75 Di

    New types of beam-plasma devices generating intense stochastic microwave radiation in the interaction of electron beams with hybrid plasma waveguides were developed and put into operation at the National Science Center Kharkov Institute of Physics and Technology (Ukraine).

    FIGURE. 1. Microwave signal with a stochastically jumping phase from a bcam~p!asma generator. The objective of the paper is to discuss the results of theoretical and experimental studies and numerical simulations of the normal and oblique incidence of linearly polarized electromagnetic waves on an interface between a vacuum and an overcriticai plasma. The main results of the reported investigations are as follows: (i) for the parameter values under analysis, the transmission coefficient for microwaves with a stochastically jumping phase is one order of magnitude greater than that for a broadband regular electromagnetic wave with the same spectral density; (ii) the electrons are heated most efficiently by obliquely incident waves with a stochastically jumping phase and, in addition, the electron distribution function has a high-energy tail; and (iii) necessary conditions for gas breakdown and for the initiation of a microwave discharge in stochastic fields in a light source are determined. The anomalously large transmission coefficient for microwaves, the anomalous character of the breakdown conditions, the anomalous behavior of microwave gas discharges, and the anomalous nature of collisionless electron heating, are attributed to stochastic jumps in the phase of microwave radiation.

    189 UA061598 D003o

    Component Content of Active Particles in Plasma-Chemical Reactor Based on a Volume Barrier Discharge I. A. Soloshenko,* V. V. Tsiolko,* S. S. Pogulay,* A. G. Terent'eva,* V. Yu. Bazhenov,* A. I. Shchedrin,* A. V. Ryabtsev,* and A. I. Kuzmichevt

    'Institute of Physics of National Academy of Sciences of Ukraine, 46 Nauki Ave., 03028, Kiev, Ukraine, tsiolko @ iop.kiev.ua f National Technical University "KPI", 37 Peremogy Ave., KPl-2230, 03056, Kiev, Ukraine Keywords: barrier discbaige, rnicrodiscbarge, component content PACS: 82.33XJ

    In the last decade barrier discharge at atmosphere pressure attains more and more applications in technology [1]. It has been shown that this type of the discharge can be used for surface modification, sterilization of medical articles and, particularly, for removal of nitrogen oxides from industrial gases. For solving these problems, the most optimum approach consists in the use of plasma-chemical reactor composed of two parts - generator of active particles having one ore several cells based on barrier discharge, and working chamber intended for placement of articles or materials to be processed. For efficient use of the plasma-chemical reactor one should know in each particular case the component content of particles formed in the plasma. In this proceeding the results of experimental and theoretical studies of the component content of chemically active electrically neutral particles both in the discharge gap of volume barrier discharge, and in working chamber of plasma- chemical reactor developed by us are presented. Dry air («20 percent relative humidity) was used as working medium. As a rule [2], in calculations of concentrations of the particles plasma kinetics in separate current channels of the microdischarges is calculated at first, and in a time of an order of diffusion time value (~ 10~3 s) averaging of concentrations of all components over entire volume of the discharge gap is performed. With such approach there exists a set of current channel parameters (dimensions, density at the surface of the discharge electrodes and rate of occurrence) which are poorly known and essentially depend on design of the discharge gap and type of the gas, The parameters mentioned above are commonly treated as fitting ones. In the present proceeding different approach is proposed which is based on averaging of introduced power over entire volume of the discharge gap. Advantage of such approach consists in the absence of fitting parameters. 3 Concentrations of 03, HN03, HN02, N2Os and N03 are measured experimentally with 1.5 WcirT specific power in the discharge and variations of transient time of the particles in the discharge gap in range from 0.3 to 2.4 s, and time of accumulation of the particles in working chamber in range from 0 to 60 minutes. At that, in the discharge and the 16 -3 chamber 03 concentration is determined to comprise (3 — 4) x 10 cm , and other concentrations are found to be as 15 3 14 3 14 I5 3 13 follows: HN03-(l-3)xl0 cm- ,N2O5-(l-5)xl0 cm- ,HNO2-(3xl0 -3xl0 )cm- ,NO3-~10 3 cm" . In most cases, calculated concentrations of 03, HN03, HN02, N2Os and N03 for barrier discharge and working chamber are in a good agreement with respective measured values. It is shown that the best agreement of the calculation and the experiment is observed at calculation gas medium temperature in the discharge of about 400 — 425 K, which is close to experimentally measured rotational temperature 3 i determined on a basis of 0 — 0 transition of second positive system N2(C nK—>B Tlg), X — 337.13 nm.

    REFERENCES 1. U. Kogelschatz, Plasma Chemistry and Plasma Processing 23,1 (2003). 2. I. Stefanovic, N. K. Bibinov, A. A. Deryugin, I. P. Vinogradov, A. P. Napaitovich and K. Wiesemann, Plasma Sources Sci. Technol. 10,406 (2000-

    190 UA061599 D004o

    Experimental study of the particle dynamincs in a Plasma Hall Thruster through optical spectroscopy Souza J. H. C, de

    Laboratorio de Plasmas - IF/UnB Institute de Fisica da Universidade de Brasilia Caixa Postal 04455 Zip Code: 70919-970 Brasilia - DF - Brasil joaohenrique @unb.br

    In this work, we show plasma characteristics and performance of a Hall Thruster designed with an innovative concept which uses an array of permanent magnets, instead of an electromagnet, to produce a radial magnetic field inside its cylindrical plasma drift channel. This idea is very significant, especially because of the possibility of developing a Hall Thruster with power consumption low enough to be used in small and medium size satellites. We typified our magnetized plasma using spectroscopic techniques. The free-electron average temperature and density are evaluated through the bremstrahlung radiation, for these electrons contribute with a continuum background emission. Descriptions such as plasma density, velocity distribution, direction of the plasmons flow and ion temperature, based on the spectral lines broadening, are made for different plasma production regimes. Local characterizations methods like the measurement of Zeeman and Stark effects, as well as their contribution to the profile of the spectral lines, are also mentioned. The main topics on plasma spectroscopy and the mathematical expressions that allow the obtainance of the plasma parameters are reviewed. We also compare our data with the results obtained with intrusive procedures, particularly the Langmuir probe characteristic curve and the ion energy analyzer outputs.

    191 UA061600 D005o

    Experimental study of a MIG-MAG welding arc Pellerin S.

    LASEP - Universite d'Orleans Faculte des Sciences Site de Bourges Rue Gaston Berger BP 4043 18028 Bourges cedex (France) [email protected]

    Composition of the applied shielding gas has a strong influence on physical properties of the plasma and parameters in the MIG-MAG welding process. In order to explain this phenomenon, the MIG/MAG welding arc plasma was investigated by different methods at different mixtures of argon and carbon dioxide in the shielding gas: fast camera to record distribution of spectral lines of the plasma components; SEM observations, EDX spectrometry and Castaing microprobe analysis to study the microstructural modifications of the anode tip during the MIG-MAG welding process; and optical emission spectroscopic to diagnose the welding arc. The obtained results and their implication on the MIG- MAG welding process will be presented during the conference.

    192 UA061601 D006o

    X-ray emission from an ultra miniature pinch focus discharge operating at 0.1 Joule: Nanofocus Soto L.*, Pavez C.*, Moreno J.*, Sylvester G.* and Silva P.*

    * Chilean Nuclear Energy Commission CCHEN, Casilla 188-D, Santiago, Chile

    Experiments in hydrogen, argon and neon have been developed in an ultra miniature device for pinch discharges (nanofocus NF: 5 nF, 5-10 kV, 5-10 kA, 60-250 mJ, 16 ns time to peak current). Sub-millimetric anode radii (0.8 and 0,21 mm) covered by coaxial insulators were used in the experiments. Evidence of pinch was observed in electrical signals in discharges operating at 100 mJ. A single-frame image converter camera (4 ns exposure) was used to obtain plasma images in the visible range. The dynamic observed from the photographs is consistent with a dynamic observed in conventional plasma focus discharges. In addition multipinhole camera, attached to a microchannel plate (MCP) sensitive to X rays and VUV radiation is used to register 1 frame every 4 ns. Also PIN diodes with different filters as used to obtain the time evolution of the radiation. Supported by FONDECYT grant 1030062.

    193 UA061602 D007o

    A high density of carboxyl group PAA film polymerized in plasma Chen Qiang

    Institute of Graphic Communication Xingkua north street 25, Daxing, 102600, Beijing, China chenqiang ® bigc. edu.cn

    A high density of carboxyl group in poly(acrylic acid) (PAA) film is polymerized in plasma. In this work, with acrylic acid (AA) as precursor, the film was polymerized in downstream of 300 ~ 2200P

    194 UA061603 D009o

    Surface Engineering with Plasma Nitriding and Plasma Immersion Ion Implantation

    S. Mukherjee

    Institute for Plasma Research, Gandhinagar, INDIA

    Surface engineering with plasmas has played a significant role in the recent years for improving the lifetime of industrial components. Surface engineering prevents the component surface from wear, corrosion, and other forms of degradation. Plasma Nitriding (PN) and Plasma Immersion Ion Implantation (PHI) are two most widely used techniques of plasma surface engineering. In both these methods, nitrogen ions and radicals are incorporated inside the metal surface (usually steel and titanium alloys) in a plasma environment. In PN, the incorporation of nitrogen is primarily by thermochemical diffusion. Whereas, in PHI, incorporation is by implantation followed by diffusion. Both the processes guarantee a uniform surface modification irrespective of the component shape and size. As the industry demands cost effectiveness and rugged, reliable system, a large amount of materials and plasma understanding has been developed over the years. Understanding the dynamic plasma sheath properties, which determines the sample placement and power supply ratings and hence overall economics of the process, has been performed. Along with that, various plasma sources have been designed for various applications. A detailed knowledge of the plasma material interaction has been developed so as to make tailor made nitrogen profiles inside the surface. One of the notable developments has been in the field of modification of austenitic stainless steels by forming an expanded austenite phase, where the surface properties are enhanced without precipitation of the nitrides. A recent development has been to couple the above methods of surface modification with plasma based deposition thereby forming novel phases on the material surface with added benefits, like enhancement in lifetime, wear resistance and corrosion resistance. Both PN and PIII and coupling it with plasma based deposition have been developed indigenously at the Institute for Plasma Research for the benefit of Indian industries. The emphasis has been on developing technologies that are environmentally safe and friendly, easy to operate and cost-effective. Details of the techniques, their instrumentation and their use in various industrial applications, will be discussed in detail in the presentation.

    195 UA061604 DOlOo Nonequilibrium plasma produced by millimeter wave beams in CVD diamond technology

    A.L. Vikharev, A.M. Gorbachev, A.G. Litvak

    Institute of Applied Physics RAS., Nizhny Novgorod, Russia

    The paper reviews the results of studying pulsed and continuous gas discharges generated by millimeter-wave radiation in wave beams (one beam or several crossing beams). Dynamics of the pulsed discharge, features of localization of the continuous discharge, and plasma parameters are described. Application of the non-equilibrium plasma generated by beams of millimeter waves in the CVD (chemical vapour deposition) diamond technology is analyzed in detail. It is shown that higher microwave frequencies in CVD reactors, as compared with the frequencies 2.45 GHz and 0.915 GHz used conventionally, cause the gas medium get activated faster, i.e. increase the rate of production of atomic hydrogen and other chemically active radicals. As the result, diamond films are deposited in CVD reactors with higher- frequency microwaves at a faster rate as compared with traditional reactors. The presentation demonstrates the potentials of a plasma CVD reactor with millimeter-wave radiation taking a novel MPACVD reactor based on the 20 kW/30 GHz gyrotron as an example. In the developed CVD reactor the following conditions of the diamond coating process are carried out simultaneously: the deposition rate is higher than 10 Hm/h, the size of diamond film area is larger than 100 cm2 and diamond films with high thermal conductivity and optical transparency are grown.

    196 UAQ61605 DOllo

    Influence of striction nonlinearity and parametric ion cyclotron turbulence on the structure of Alfven resonance in a helical confining magnetic field Girkal.

    Kharkiv V.N.Karazin National University Department of Physics and Technology Kharkiv National University, Svobody Sq.4, 61077 Kharkiv, Ukraine girkai @ univer. kharkov. ua

    Helical inhomogeneity of the steady magnetic field (mf) causes coupling of separate spatial modes of electromagnetic fields. Condition is derived under which striction nonlinear ity governs spatial distribution of wave fields within the AR. This condition is valid for the larger amplitudes of pumping wave than in axial mf, since in a helical mf the AR is wider and the characteristic value of amplitude of the fundamental harmonic is less than in axial mf. Reverse effect of kinetic parametric ion cyclotron instabilities of plasma on the pumping wave is studied. Account for the amplitudes of the first sidebands results in noticeable increase of effective collision frequency as compared with its value in the case of axial steady mf.

    197 UA061606 D012o

    Modeling a plasma photoelectric converter of the focused optical radiation. Nikolay A. Gorbunov and Aleksei Kopitov

    Physics Institute ofSt.-Petersburg State University, Ulianovskaya 1, 198904 St.-Petersburg, Russia (e-mail: gorbunov@paloma. spbu. ru)

    Abstract A model is considered of the plasma photoelectric converter, which can be designed on the basis of a heat pipe filled with alkali metal vapor and buffer inert gas. The efficiency of direct transformation of the focused light into electricity is estimated. Keywords: Photoplasma, Photovoltaic effect. PACS: 84.60Ji,S2.65.-y.

    Conversion of the concentrated solar radiation is an effective means of reducing the photoelectricity production costs. Studies of the feasibility of using an ambipolar field in photoplasma for direct conversion of focused light radiation into electricity were initiated in [1,2], In these works a photovoltaic (PV) effect in sodium vapor photoplasma has been observed. The resonance laser radiation was used to produce photoplasma. High photo EMF values in one converting plasma cell (about 4 Volts) were demonstrated that are unachievable with other technologies. The intensified values of EMF resulted from high values of the electron temperatures achieved in the photoresonant plasma [3]. It has been shown that photo-EMF was generated at a nonuniform ionization of the vapor inside a plasma volume [4]. Conversion efficiency of light to electricity in the range 15-30 % was estimated in alkali plasma [5J. Development of a plasma photovoltaic cell may be considered as a new piasma application to renewable solutions. The starting point in the development of a plasma photoelectric converter can be the heat pipe [2], This device makes it possible to maintain constant and stable alkali metal vapor density over a closed cycle comprising evaporation, condensation and the return of the condensate to the evaporation zone as a result of surface tension forces. The alkali vapor is confined by inert gas, which eliminates the destructive effect of the vapors on optical windows. The existence of spatially separated zones of alkali vapors and the buffer gas is also affecting the diffusion of charged particles. As an alkali ion is transiting from the alkali vapor zone to the buffer gas zone a significant rise of the diffusion coefficient takes place. A model of photovoltaic effect in alkali photoplasma under the action of the focused optical radiation is considered. A configuration with plane electrodes, which is the simplest from the standpoint of describing the ambipolar field in plasma, is analyzed. Current-voltage characteristics and the output power are calculated as a function of a set of parameters (the spot position, the mixture composition) describing the converter operating regimes. A model of photoplasma under diffusion conditions is developed. Estimations of the energy losses in the photoelectric converter are obtained. The influence of plasma parameters on the efficiency of direct transformation of light into electricity is analyzed. It is shown that the spatial separation of the alkali vapors and the buffer gas over the converter volume occurring in the heat pipe enhances the conversion efficiency significantly. Thus, spatial nonuniformities (as in the case of p-n junctions or heterostructures in semiconductor photoconverters) are just the means to achieve the maximum conversion efficiency of the plasma photoelectric converter.

    REFERENCES 1. Gorbunov N. A., and Stacewicz T., Tech. Phys. Lett., 26,654 (2000). 2. Gorbunov N. A., and Stacewicz T., High Temperature , 39,623 (2001). 3. Gorbunov N. A., Grochola A., Kruk P., Pietruczuk A., StaccwiczT., Plasma Sources Sci and Techn., 11,492 (2002). 4. Gorbunov N. A., and Flamant G., Tech. Phys., 49,1491 (2004). 5. Gorbunov N. A., Stepanov S. V., and Flamant G., IEEE Trans. Plasma Set, 33,1346 (2005).

    198 UA061607

    D013p

    Formation of fee A1N layer on aluminum surface by DC plasma asisted nitriding Amiri S.*, Moradshahi M.* and Tvakoli T.*

    'Applied Plasma Laboratory, Center of Nuclear Fusion Researches, Atomic Energy Organization of Iran (AEOJ) North KaregarAve. Tehran, Iran

    Plasma nitriding of aluminum leads to formation of A1N with outstanding properties on the surface and is used to overcome low wear resistance and to achieve desirable surface properties[l-51. In this study 2025 Al alloys were plasma nitrided by a cylindrical dc diode discharge unit at different conditions such as gas compound, pressure and treatment time. Before nitriding, plasma sputtering of samples was carried out to eliminate of native A1203 layer on the Al surfaces. The results of SEM and GDOS analysis showed that nitride layer growth increases with increasing of gas pressure and treatment time. The best results were achieved after 20 h plasma nitriding at 600 mtorr of N2-H2 gas mixture with vol. proportion of 4 to 1 and temperature of 400° C. Results of RBS measurements indicate the layer thickness of about 2.2 micrometer and nitrogen density about 7.4 6 1022 atom/cm2 in this case. The XRD analysis confirmed formation of A1N layer with fee structure.

    [1] H. Y. Chen, H. R. Stock, P. Mayr, Surf. Coat. Tehnol. 64 (1994) 139 [2] H. R. Stock, C. Jarms, R Seidel, Surf. Coat. Technol. 94-95 (1997) 247 [3] H. Poldlesak, U. Faust, B. Wielage, Mikrochim. Acta 133 (2000) 285 [4] C. V. Budtz-Jorgensen, P. Kringhoj, J. Nielsen, Surf. Coat Technol. 135 (2001) 299 [51 P. Visuttipittikul, T. Aizawa, H. Kuwahara, Materials Transactions. 44 (2003) 1412

    199 UA061608 D014p

    Improvement of Corrosion Resistance of Plasma Nitrided Stainless Steel Moradshahi M.*, Amiri S.*, Basiri M.* and Habibi H.*

    'Applied Plasma Laboratory, Center of Nuclear Fusion Research, Atomic Energy Organization of Iran Tehran, North Karegar Ave. Iran

    It is found that low temperature plasma nitrided stainless steels possess not only significantly increased surface hardness and wear resistance but also improved corrosion resistance[l-3J. In this study, specimens of 321 stainless steels were plasma nitrided at different temperatures then their corrosion behavior was studied by anodic polarization and surface techniques such as SEM, EDX, and XRD. The results showed that plasma nitriding at low temperatures (400° C) improved the corrosion properties of samples by extending of passive rang in polarization diagrams and changing the corrosion mechanism from pitting corrosion to general corrosion in IN sulfuric acid solution. This is due to formation of N-expanded austenite (N) phase[4,5] that confirmed by XRD analysis.

    [1] T. Bell, Y. Sun, Heat Treatment of Metals 29 (2002) 57 [2] C.E. Pinedo, W.A. Monteiro, Surf. Coat. Technol. 179 (2004) 119 [3] C.X. Li, T. Bell, Corrosion Science 46 (2004) 1527 [4] T. Bacci, R Borgioli, E. Galvanetto, G. Pardelli, Surf. Coat Technol. 139(2001) 251 [5] M.P. Fewell, D.K.G. Mitchell, J.M. Preiest, K.T. Short, Surf. Coat Technol.131 (2000) 300

    200 UA061609 D016p

    Utilization of Ultraviolet Radiation of Cold Hollow Cathode Glow Discharge Plasma for Water Disinfection I. A. Soloshenko,* V. Yu. Bazhenov,* V. A. Khomich,* V. V. Tsiolko,* and N. G. Potapchenko,'*' V. V. Goncharukt

    'Institute of Physics erf National Academy of Sciences of Ukraine, 46 Nauki Ave., 03028, Kiev, Ukraine, tsiolko @ iop.idev. ua ^Institute of Colloid and Water Chemistry of National Academy of Sciences of Ukraine, 42 Academician Vernadsky Blvd., 03680, Kiev, Ukraine Keywords: Ultraviolet, plasma, hollow cathode, water disinfection. PACS: 87.50.Oi, 52.25.0s.

    In the last decade ultraviolet (UV) radiation attains growing application as antimicrobial agent at disinfection of water, air, sterilization of packing materials for foodstuffs, etc. Inactivation of microorganisms under action of UV radiation occurs, first of all, due to DNA damage in result of a set of photochemical reactions. Main advantage of UV sterilization and disinfection method, as compared to those using chemical agents (chlorine, hydrogen peroxide, ozone, etc.), consists in fact that at the use of UV radiation no toxic and/or mutagenic residuals are formed. Modern UV systems, e.g. for water disinfection, commonly use low pressure mercury lamps generating radiation with about 254 nm wavelength and medium pressure mercury lamps generating a set of wide bands in 200 - 300 nm spectrum range. However, there is essential drawback of using such lamps due to high toxicity of mercury vapor. For that reason, in recent time a search of alternative sources of UV radiation providing high sterilization and/or disinfection efficiency while containing no hazardous substances is performed. In the experiments on sterilization of medical items by gas discharge plasma [1] it has been shown that the efficiency of sterilization of Bacillus subtilis spores by broad-band (200 — 300 nm) U V radiation of cold hollow cathode gas discharge plasma is essentially higher than that by monochromatic radiation of low pressure mercury lamp. In this proceeding the results of experimental studies of peculiarities of inactivation of Eschercihia coli water suspension by ultraviolet radiation of plasma of glow discharge with hollow cathode on different gaseous media are presented. As working media oxygen, deuterium, their mixtures, air and water vapor are used. For conducting comparative experiments the devices based on low pressure mercury lamp of DB-30 type and medium pressure lamp PRK-400 type were utilized. It is shown that: 1. UV radiation of hollow cathode discharge plasma on certain media (oxygen, deuterium, their mixtures and water vapor) possesses higher bactericidal efficiency in comparison with UV radiation of low-, medium pressure mercury lamps and hollow discharge on air. 2. High bactericidal efficiency of the UV radiation from hollow discharges on mentioned media is due to peculiarities of UV radiation spectra, particularly, high radiation intensity in 215 — 230 nm wavelength range. This effect is presumably due to difference in nature of DNA damage caused by UV radiation in mentioned wavelength range, as compared to that occurring at the use of radiation with other wavelength.

    REFERENCES

    1. I. A. Soloshenko, V. V Tsiolko, V. A Khomich et al., Plasma Physics Reports 26,792-800 (2000).

    201 UA061610 D018p

    Self-Consistent Simulation and Analysis of the Electron Heating Processes in a Neutral Loop Discharge A. V. Arsenin*, V. G. Leiman* and V. P. Tarakanov*

    *Department of General Physics, Moscow Institute of Physics and Technology, Dolgoprudny, Russia

    We present two-dimensional self-consistent simulation and analysis of the collisionless electron heating processes in a Neutral loop discharge (NLD) which is attractive plasma source for plasma processing. Results of numerical simulation allowed to determine spatial structure of NLD plasma in the field of neutral loop and to reveal new type of collisionless heating — local electron cyclotron resonance. The results of simulation are compared with available experimental data. We used a fully electromagnetic code KARAT based on the particle-in-cell Monte-Carlo collision (PIC-MCC) method. Neutral Loop Discharge is variety of magnetic enhanced inductive coupled plasma [? ]. Distinctive feature of NLD is neutral loop which consists of sequence of null magnetic field points (connected in circle). Experimental investigations of structure and accurate determination of plasma characteristics in the field of neutral loop is very difficult problem. The goal of this work is numerical simulation of the NLD plasma in the field of neutral loop in order to obtain information about NLD structure and collisionless electron heating processes. The results of the numerical simulation show that NLD has sufficiently complicated structure in the fieldo f neutral loop. Spatial distribution of plasma density in the neighborhood of neutral loop is non-homogeneous as in longitudinal direction and in radial direction. Positions of maximum plasma density coincide with positions of magnetic traps. The presence of these magnetic traps is typical for NLD magnetic configuration. We showed that the structure of the NLD plasma is determined not one [? ] but three magnetic traps that is necessary to take into account when solving the problem of dynamically control for plasma parameters in the case of it technological application. The NLD plasma source has high-density electron at low gas pressure (1 mTorr) because it is characterized by new type of collisionless electron heating — stochastic heating around the NL [? ]. In addition, we showed that the NLD has one more type collisionless electron heating — local electron cyclotron resonance (ECR). The NLD turns to regime with two maximum in distribution of electron temperature at low gas pressure and neglible Coulomb collisions. Location of the first maximum coincides with the region of stochastic heating, and location of the second maximum coincides with the region of radio frequency ECR heating. The existence of electron temperature maximum in the field of local ECR is confirmed both our numerical simulation and experimental investigations [? ? ]. This work was supported by the Russian Foundation for Basic Research (Grant No. 05-01-00790,06-02-17523).

    REFERENCES H. Tsuboi, M. Itoh, M. Tanabe et. al., Japan. J. Appl. Phys. 34,2476-2481 (1995). Y. Okraku-Yirekyi, Y. M. Sungct. al.,/ Vac. Sci. TechnoLA 19,2590-2595 (2001). Z. Yoshida, H. Asakura ct. a!., Phys. Rev. Lett. 81,2458-2461 (1998). W. Chen, K. Sugita et. al. J. Vac. Sci. TechnoL A 19,2936-2940 (2001). V. B. Pavlov, "Power Deposition in Magnetically Enhanced Inductively Coupled Plasma Source", Ph.D. Thesis, Moscow State University, 2005.

    202 UA061611

    D020p

    THE STUDY OF NONEQUILIBRIUM PROPERTIES OF THE DENSE LOW TEMPERATURE PLASMAS AND DEVELOPMENT OF ITS TECHNOLOGICAL APPLICATIONS IN UKRAINE

    S.V.Petrov, V.A.Zhovtyanskv

    The Gas Institute oftheNAS of Ukraine, Kiev, Ukraine, e-mail: [email protected]

    The economic situation in a number of the countries of Central and East Europe is now those, that again there are actual V.I.Vemadsky's formulated in 1928 the ideas, on a main role of applied researches in the academic science in crisis economy. That is why the choice of researches for the benefit of energy saving technologies development is quite reason and economically justified. Physical processes in volume and near-surface zone of an electric arc low temperature plasmas are self- organized in such a manner that the minimal losses of particles and energy from its volume are reached [1, 2]. Due to this the maximal energy efficiency in numerous high-tech applications of arcs, as a matter of fact, is provided. The marked minimal losses from the channel of an arc have predetermined also widespread model of local thermal equilibrium (LTE) with reference to electric arc plasma. At the same time, researches of last decades have found out deviations from LTE due to transfer of radiation in electric arc dense plasma. This effect results in decrease of plasma forming gas effective ionization potential in extra-axial area of an electric arc. This is the additional factor of electric arc energy efficiency increase in its practical applications. Consecutive expansion of applications of plasma in technological processes has led to creation of plasmatrons. Nevertheless, effective plasmatrons' processing is based in effective electric arc functioning. At the end of 60th researches of properties of electric arc plasma of air-gas mixes, its interactions with materials, and also development and producing of plasmatrons and plasma spraying machines have begun in the Gas Institute [3]. The using as the plasma forming gas of a mix of air with methane or propane-butane instead of inert gases has allowed to increase essentially efficiency and productivity, and also to lower cost of spraying processes due to an additional thermal heating at combustion of organic fuel and presence of molecular components' products of dissociation. The last one predominates extent of a high-temperature zone in plasma spray of combustion products. The maximal quality of powder coating provides a supersonic flow mode of plasmatron operation. In the beginning of 70th the Gas Institute produced a series of installations for powder coating of the metallurgical equipment's details of 120 kW. Since 1986 the plasma spraying machine «Kiev-7» of 80 kW were produced. Within more than 35 years experts of the Gas Institute developed also set of updatings of the specialized installations for spraying and plasma hardening of machines' details [4]. Nowadays the Gas Institute carried but active researches and development on application of plasmatrons in the processes connected to obtain of synthesis-gas, and on improvement of service properties of plasma spray coating.

    1. V. A. Zhovtyansky, V. M. Patriyuk and A. B. Murphy. Modelling of transport processes in electric arcs between vaporizing electrodes. In Proc. 16th Int. Symp. on Plasma Chemistry (June 22-27, 2003, Taormina, Italy), Ed. R. d'Agostino, P. Favio, F. Fracassi and F. Palumbo (paper Po3.45). Bari, 2003 - 6 pp. 2. V.A. Zhovtyansky. Nonthermal effects in "thermal" plasma. In Proc. Int. Conf. on Physics of Low Temperature Plasma (May 11-15, 2003, Kyiv, Ukraine), Ed. V.A. Zhovtyansky (Rep. 1.7.80-1). K.: Navchal'na Knyga,2004.-14pp. 3. S.V.Petrov, I.N.Karp. Plasma gas-air spray coating. K.: Naukova Dumka, 1993.- 494 pp. (in Ukrainian). 4. Petrov S.V., Saakov A.G. Plasma - catalyst of combustion of low-reactive coals. In Proc. 16th Int. Symp. on Plasma Chemistry (June 22-27,2003, Taormkia, Italy), Ed. R. d'Agostino, P. Favio, F. Fracassi and F. Palumbo. Bari, 2003-11 pp.

    203 UA061612 D022p

    Plasma wind tunnel: Diagnostics of subsonic plasma jet Essiptchouk A.

    VNICAMP, Institute de Fisica Gteb Wataghin Cx.P.616513033-970, Campinas, SP, Brazil [email protected]

    The need for an efficient Thermal Protection System (TPS) material to protect the reusable transportation system during the re-entry phase directly calls for a need to test the candidate TPS samples in a similar environment. Long- duration testing of samples in flows with temperatures of several thousands of degrees can be achieved by immersion in plasma flows, generated by electric arc or induction. Arc jet facilities produce jets with gas enthalpies comparable to those encountered during atmospheric reentry. These facilities are used to evaluate components of a reentry vehicle's thermal protection system (TPS) and to better understand the heating and flow conditions encountered during reentry. An effective utilization of thermal plasma sources requires a thorough understanding of the heat transfer mechanism from the jet flow to materials, which is a critical problem in most plasma-material processing, such as plasma spray and materials surface modification. The accurate simulation of the stagnation point flow on a re-entry vehicle can be achieved if the total enthalpy, pressure and velocity gradient at the boundary layer edge are properly simulated, provided that the chemical composition is identical. This allows to simulate heat transfers from supersonic flowsb y subsonic flowexperiments , provided these simulation variables match. In this work a linear plasma torch with "hot"; cathode and stepped anode was used as the reactive plasma source. DC arc plasma system was designed for continuous working at power up to 50 kW. In order to carried out the plasma jet diagnostic the working parameters were adjusted at current 135 A and arc voltage 300 V. Thus at power about 41 kW the net power in plasma jet was about 30 k\V, giving a plasma enthalpy of about 5.5 MJ/kg. The plasma flow rate of air was 4.5-10.3 kg/s. The heat flux density from plasma jet was measured as function of radial and axial position by using a water-cooled calorimetric probe, fabricated of a copper tube (inner diameter 3 mm, outer diameter 2 mm. This probe is fully catalitical. The water flowrat e was adjusted for o btain maximal sensitivity of calorimeter. The probe was installed perpendicular to plasma jet and can be moved in axial and radial direction. The temperature increase of the cooling water was measured using chromel-alumel thermocouples (diameter 0.1 mm). It was assumed that heat flux is symmetrical with respect to the z-axis (plasma jet axis) and that heat flux at any point is function of distance r and z in cylindrical coordinate. Thus, by using Abel inversion it is possible to obtain the heat fluxdensit y distribution knowing the heat flow from the plasma to the calorimetric probe. Moreover, measurement of the plasma jet velocity distribution permits to obtain the plasma jet enthalpy distribution. For velocity distribution the water cooled Pitot tube was used. The obtained results are important for the heating tests of TSP.

    204 UA061613 D023p

    Plasma wind tunnel: Temperature jump effect of testing material samples Spassovska I.

    UNICAMP Institute de Fisica Gleb Wataghin, Cx.P.616513083-970, Campinas, SP, Brazil [email protected]

    In this work a study of the ablation properties and of microstructural behavior of carbon based materials under ablative conditions of a plasma jet are presented. High-energy air plasma bombardment was carried out in an ambient atmosphere. A DC arc system was used as the reactive plasma source. The operation of the arc plasma source was carried out in air at 4.5 x 10-3 kg/s. The non-transferred arc plasma torch can be operated with power up to 50 kW, but currently the available power supply is limited to 135 A and 306 V which limits the maximum achievable power to about 41 kW. In these operation conditions, the net power in the plasma jet is about 30 KW giving a plasma enthalpy of about 5.5 Ml/kg. The surface temperature of the target material was controlled by varying the irradiation distance and was measured by an optical pyrometer (model IR-AH 3SU- Chino). The distance between a nozzle tip of a plasma torch and the front surface of the specimen was varied in the range of (6 —14) cm, corresponding to stead state surface temperatures in the range of (1700 — 2000) K. The erosion rate was calculated by dividing the specimen thickness or the weight change before and after the test, during an exposure time for each specimen within the range (40 — 180) s. The average values were taken from the results obtained by repeating several times the test with the same specimen. As graphite target materials, a high-density (1.83 g/ctr?) isotropic graphite was used. C/C composite used in this experiment (density: 1.75 g/cm3) was manufactured by GOUP-SNPE, France. As the specimens, the materials were cut into cylindrical geometry, diameter of 1.61 cm with thickness approximately 1.20 cm. Thus, the exposure area of the surfaces to be bombarded by reactive plasma was kept fixed at 2.04 cm2. From the macroscopic aspect of the material degradation, the mass losses are measured for different exposure time and material surface temperature. The mass loss per unit area is approximately proportional to the exposure time and depends on the temperature of material surface. It was observed that during the test a sudden and unexpected jump of the surface temperature occurs before its saturation on constant level. The obtained results are presented and some hypotheses are discussed in order to explain observed phenomenon. The understanding of the mechanism may lead to a revised strategy for optimizing criterions for reentry trajectories of reusable space transportation system.

    205 UA061614 D026p

    Permanent Magnete Hall Thruster Performance For Near Earth Space Missions Ferreira J. L.

    University ofBrasila Institute de Fisica Universidade de Brasilia UnB Campus Darcy Ribeiro Piano PilotoAsa Norte 707910-900 Brasilia-DF Brasil [email protected]

    Hall Thrusters or SPT (Stationary Plasma Thruster) have been used on several space missions accomplished by Russian and European Space Agencies. They were able to perform station keeping of geosyncronous satellites and near earth orbit transfer missions. In this work a scenario study of a new type of Hall Thruster, with innovative concept, in near earth orbit space mission is executed. In this new conception an array of permanent magnets is used to produce the main thruster radial magnetic field and decreases substancialy the total power consuption. Based on plasma parameters a figureo f merit and an aptitude figure of the Permanent Magnet Hall Thruster will be given.

    206 UA061615 D027p

    STUDY OF CARBON REACTIVITY IN OXYGEN PLASMA USING MASS SPECTROMETRY Petraconi G.

    ITA/CTA Technological Institute of Aeronautics, Department of Physics, Plasma and Processes Laboratory (LPP) SP, Brazil [email protected]

    Having in mind the plasma assisted carbon material activation process development, samples of carbonized macadamia nut shells were treated in oxygen plasma. The carbonization process was performed at 800°C in nitrogen atmosphere, and a graphite electrode Hollow Cathode Reactor (HCR) coupled with mass spectrometry monitoring system was set up for this experimental work. A DC electrical power supply adjusted at 300 W (600 V and 0.5 mA) was used to produce a stable glow discharge in oxygen media. The process parameters pressure (0.5 to 5 mbar), temperature (200° to 800"C), oxygen gas flow rate (20 to 80 seem) and time (1 to 50 min) were varied, while the chemical composition of plasma was being monitored by mass spectrometry technique. The analysis was focused to measure the relative concentration of species 0,02, C, CO and C02, due to the fact that the carbon activation process is mainly based on surface carbon oxidation reaction. The partial pressure measurements of each species as functions of process parameters showed that atomic and molecular oxygen contributions to total pressure were diminished with increase of time, temperature and flux,whil e the C, CO and C02 presented an opposed trends. A correlated analysis of results obtained in this work with another works in which the adsorption characteristics of similarly treated materials, with same precursor, were measured, leads to the conclusion that the activation process of carbon materials by cold plasma is based on physical sputtering and also on chemical oxidation processes of carbon localized at surface sites. These complex mechanisms simultaneously acting on carbon surface produce the nanometric sized pores which in carbon materials transforming them to a class of materials known as molecular sieve, useful as natural gas storing media.

    207 UA061616 D029p

    Studies of Ar/N2 plasma for growing amorphous and crystalline A1N thin-film in a hollow-cathode magnetron sputtering system Maciel H. S. Technological Institute of Aeronautics SPBrasil [email protected]

    AJN films were deposited on silicon substrates by reactive hollow cathode magnetron under various nitrogen concen­ trations. The discharge operated at dc voltages was controlled at constant current (200 mA) and pressure (0.7 Pa). Plasma diagnostic tools were used to assure the process control and reproducibility. Langmuir probe results indicate plasma densities of (1017 - 1018)m-3 and electron temperatures between (2—6)eV. The films were characterized with respect to the structure and morphology by XRD and AFM analyses, respectively. The monitoring of A1N+ peak of mass spectra proved to be an important new method to prescribe the plasma conditions for growing amorphous or crystalline films.

    208 UA061617 D030p

    Active stabilization of low-current arc discharges in atmospheric-pressure air Risacher A.

    ONERA DEMR/Furfort de palaiseau chemin de la huniere 91120 Palaiseau FRANCE aurore. risacher® onera.fr

    We study low current (60-250 mA), high voltage (~ 700 V) DC steady arc discharges burning in air at atmospheric pressure when a closed loop is included for regulation in the power supply. The arc steadiness might then be attributed to a dynamic process, rather than to the conventional stability criterion that compare the slope of the arc's static volt- ampere characteristic with the value of the external-circuit ballast-resistor. A typical 4-cm long DC arc device is set up, while the discharge properties are computed using a specific, time dependent, Elenbaas-Heller model. We compare the result of the calculations with the electrical data for these discharges.

    209 UA061618

    D033p

    Thermodynamic properties and transport coefficients in metal seeded arc plasmas Porytskyy P.V.

    Institute for Nuclear Research ofNASU, pr.Nauky 47, Kyiv 03680, Ukraine ; e-mail: [email protected]

    Abstract. Keywords: thermal plasma, temperature, heat capacity, conductivity, electron-atom collisions PACS: 52.25Vy; 52.25R; 52.25Kn; 52.80Mg

    It is considered the two-temperature model of a thermal plasma applied to study the arc discharge plasma at atmospheric pressure. It is studied the influence of peculiarities of the thermal properties of separated components of gaseous mixtures and the characteristics of electron-atom collisions on the thermodynamic properties and transport coefficients (thermal and electrical conductivities, viscosity) in an arc plasma in gaseous mixtures. The calculations are carried out for the case of a metal seeded arc plasma in nitrogen or noble gas ambient atmosphere. There are the following metal impurities including into consideration: copper, cadmium, zinc, molybdenum and mercury. The calculation is made assuming the local thermodynamic equilibrium when ionization equilibrium is established relatively to the electron temperature. It is shown that the influence of the metal vapour presence on thermodynamic properties and transport coefficients can be important in arc plasmas at low-current regime of the discharge. Also, it is studied the influence the Ramsauer-Townsend effect, which is a feature of some noble gases, on the properties of an arc plasma in that gaseous medium. It is shown the possibility to neutralize that influence on the plasma properties for an arc in multispecies gaseous mixtures.

    210 UA061619

    D034p

    Charge Composition of Soot Grains in the Plasma of Burning Hydrocarbon Fuels

    Marenkov V.I., Chapskiy E.A., Ilchenko E.P.

    Odessa National University of I.I. Mechnikov 2 Dvoryanskqya Str., Odessa, 65026, Ukraine Keywords: Combustion plasma, statistical cell model, polydispetse ionization PACS: 52.27.Lw

    In the modern new branches of production with the high specific energetic contribution the ions of alkali metals are used for both creation and regulation and diagnostics of the necessary level of ionization in the volume of high- temperature heterogeneous ambiences that are used as working ambiences (WA) of the technological process [1,2], Under temperatures T > 2000 K that are standard for such systems the partial contributions of ion component in the ionization of the working ambiences are the major ones, but in the same time in the local areas they essentially depend on its uncontrolled statistical parameters that defines heterogeneity of WA on the microphysical level as well. First of all they are characteristics of disperse inclusions (macroparticles of condensed dispersed phase (CDP)): sizes and geometry of the individual condensed particles (CP), electronic and dielectrical properties of CP material; and the characteristics of CDP ensemble as whole - disperse and component content of "macroparticles' subsystem"; and, naturally, properties of carrying ambience that occupies one-tied area - mixings of buffer gas molecules and other forming of the gaseous phase. The development of the physical model and the getting of the basic mathematical equations and relations between of "heterogeneous" ionization of heterogeneous plasma system (HPS), derived from the conceptual basis of statistical approach is the aim and the task of the present work. The low- temperature plasma with the condensed disperse phase of HPS which is, in the general case, a polydisperse mix of emitting macroparticles distributed spatially in the volume of gaseous phase and interacting with its components, in particular, with the subsystem of the additives of alkali atoms that have relatively low ionization potential and are easy ionizing (for instance, for the plasma of combustion products, they are included in the composition of alkali additive of a solid fuel), is investigated. It's supposed that the system is put in the thermostat that carries a definite temperature T, and all the components are in the state of a thermodynamical equilibrium, the outer electrostatic potential along all the whole system is constant. There are no methods in the existing model that allow defining of the particles' properties. Therefore in the present work we consider the Thomas-Fermi approximation and the tying of the solutions on the particle surface is done. That allows finding particle's characteristics. The ionization problem for the polydisperse system is also solved. Detail comparison with the other models is done. The good agreement with the existing experimental data is noted. In the frames of existing model it was possible for the first time to take into account the state of the inner electrons of macroparticle and its influence to the emittance energy. The dependence of the Fermi level and dielectric permittivity from the governing parameters of HPS of condensed particles is built. It's shown that in the submicron area it sufficiently affects to the value and the sign of particle charge. The interaction between "partial" and gaseous ionization is investigated in details.

    REFERENCES

    1. V. I. Marenkov and M. N. Chesnokov, Physical models of plasma with a condensed disperse phase, Kyiv: UMK VO, 1989,188 p. (in Russian) 2. Marenkov V.I. Polarization Influence on the Aerosol Plasma Ionization//Joumal of Aerosol Science.-2001, Vol.32, Suppl. 1, P. S995 - S996.

    211 UA061620 D036p

    Influence of Non-Unified Electric Field to the Combustion of Liquid Hydrocarbon Fuels

    Ilchenko E.P., Shevchuk V.G.

    Institute of Combustion and Advanced Technologies, Odessa National University of I.I, Mechnikov 2 Dvoryanskaya Str., Odessa, 65026, Ukraine

    Keywords: Electric field,electri c discharge, liquid hydrocarbon fuel, hexane, benzene, methanol, mass combustion rate PACS: 52.80.-s

    One of the ways used to manage the combustion process is an imposing of an electric field to the flame. Mainly in the presented works the field is imposed integrally that doesn't allow one to sufficiently change the mass combustion rate (MCR) of the fuel [1]. A stationary drop of liquid fuel from 3 to 10 mm in diameter was formed on a porous spherical particle made of a fine metal mesh. During the process of stationary combustion it was necessary to achieve such a consumption of a fuel when the drop is covered with a thin liquid layer of constant thickness. A non-unified constant electric field was created by the applying of a potential difference between drop and an outer electrode (mesh) of a cylindrical capacitor (80 mm in diameter). When the drop is charged positively and the mesh - negatively, the flame bends toward the outer electrode and looks like a bell turned upside down. While increasing the field the flame top opens, an average distance from the drop to the combustion zone increases, both a heat flux from the combustion zone to the drop and, consequently, MCR decreases. In the case of opposite polarity flame covers the drop that leads to the increasing of the MCR (fig. 1).

    rh/m0 1,05-

    1,00

    0,95- ^

    0,90- U, kV N 0 12 3 4 5 FIGURE 1. Dependence of relative mass combustion rate for hexane versus applied potential difference The hysteresis phenomenon, that is, one must make field intensivity lower that blowout value to force the flame to cover the drop, was experimentally discovered and investigated. The last is caused by the presence of the charged soot grains in the flame. Under break-down field intensivity MCR can be sufficiently increased (for 2-3 times). It can be explained taking in the account both turbulization of the combustion process and a changing of a chemistry of reactions in the spark discharge.

    REFERENCES

    1. E.P. Ilchenko and V.G. Shevchuk, "Role of Charged Soot Grains in Combustion of Liquid Hydrocarbon Fuels in External Electric Field", Ukrainian Journal of Physics SO, Ks2,144-150 (2005).

    212 UA061621

    D037p

    COMPACT X-RAY SOURCES FOR PLASMA DIAGNOSTIC METHODS Mozelev A.

    [email protected]

    The essential part of this set up is the source of artificial gamma radiation, A principal advantage of that kind of source for gamma logging is the possibility of remote handling excluding the danger in case of an accident. The souse consequences was designed for the most difficult application case - a deep borehole with a high temperatures and high pressure. Several variants of vacuum tubes were researched, the results are introduced. The up-to-date methods of researching radiations effects are usually based on the spectrometry of scattering irradiations exited by different radioisotopes sources. Now days, the ecological purity requirement for the geophysical devices with radioisotopes sources stimulates researches of other kinds of sources. In this connection, the sources of X-ray radiation represent an attractive alternative. Electron and ions acquire a high energy and produce X-rays with a relatively high efficiency by interaction with different materials. In this work, a principally new source using a radiation generator is proposed [1]. Preferable, the linear pulse electron accelerator comprises a capacitive energy storage connected to a high voltage charge unit, the output of the energy storage being connected to the primary coil of a Tesla transformer the secondary of which is connected to a cathode[2]. The linear pulls electron accelerator preferably comprises a Tesla transformer for generating the high voltage pulses necessary for producing the gamma radiation. The primary coil of the Tesla transformer is connected to a capacitive energy storage and a discharger. The capacitive energy storages preferably connected to a high voltage charging unit. The high voltage output to the Tesla transformer is connected to an anode opposite which aheatable cathode is arranged along the longitudinal axis of the probe. The high voltage charging unit serves to charge the capacitive energy storage to a predetermined state before it is discharged to produce a high dl/dt in the primary coil of the Tesla transformer. The high voltage pulse thus generated by the Tesla transformer and applied between anode and cathode extracts electrons from the cathode and accelerates them to anode where they impact and by their deceleration generate a pulse of gamma radiation. Therefore, it is obvious the need of the minimum value C, which is equal to electronic gun capacitance in our case. Several variants of vacuum tubes were researched, the results are cited. If we have diameter of vacuum tube D=90 mm., the kinetic energy of electron E=l Mev.; D=70 mm., E=700 Kev.; D=60 mm., E=500 Kev.; D=45 mm., E=150 Kev. In the course of investigation a model generator was created. Carrying out researches with this model has also shown the expediency of subsequent investigations to confirm theoretical computations. As a result of the researches the following parameters have been received Diameter less than dot fill 70 mm Length less than dot fill 300 mm Weight less than dot fill 2 kg Electron source specification: Kinetic energy dot fill50 0 KeV Pulse duration dot fill 10 ns Impulse frequency dot fill 0.5 - 50 Hz.

    [1] Mozelev A. High Voltage Discharge and Vacuum Insulation at the Minimising Volume, Int. Symp. Electrical Discharge and Vacuum Insulation. (ISDEIV1996) Berkeley, California, 1996. [2] Mozelev A. et al. Probe for Radio logically Determine the Density of Rock In a Drilled Well, United States Paten Number 5,736,636. Date of Patent- Apr. 7,1998.

    213 UA061622 Dlllp

    Investigation of fully relativistic effects growth rate for free-electron laser in completely filled waveguide Abdikian A.

    Department of Physics, Faculty of Science, Bu-Ali Sina University Hamadan, Iran [email protected], abdykian@gmaiLcom

    A free-electronlase r with a helical wiggler field, cylindrical metallic waveguide, and axial guide field operating in the collective regime iitfitritesimaliy above cutoff a transverse magnetic (TM) mode is considered. The waveguide is completely filled with a relativistic electron beam. Parametric decay of the wiggler pump wave in the beam frame, into a space-charge wave and an electron-magnetic (EH) wave guide is analyzed in 3-dimensions. A nonlinear wave equation for 3-wave interaction is derived and employed to obtain a formula for spatial growth rate of excited oscillations in the wiggler field destroyed the cyclotron resonance which appears in the non-relativistic case. Numerical analysis is conducted to study the growth rate, radiation wavelength and required relativistic factor as function of axial magnetic field.

    214 UA061623

    D112p

    Relativistic effects in a waveguide completely filled by energetic electron beam for free-electron laser Abdikian A.

    Department of Physics, Faculty of Science, Bu-Ali Sina University Hamadan, Iran [email protected], [email protected]

    An analysis of the azimuthally symmetrical, high frequency eigenmodes of a cylindrical metallic waveguide com­ pletely filled with a one dimensional helical wiggler and relativistic magnetized plasma is presented. A relativistic nonlinear wave equation is derived in a form which includes the coupling of EH and HE modes due to the finite axial magnetic field. Relativistic equation that permits calculation of the dispersion curves for four families of electromag­ netic and electrostatics modes are derived. Numerical analysis is conducted to study the relativistic dispersion curves of various modes as a function of axial magnetic field.Thi s treatment is shown that the dispersion curves dependent on in low frequency which is ignored in previous work. In drawn figures, it is shown that difference between relativistic and non-relativistic cases. This study is benefiting to facilities the development of devices for generation of high-power electromagnetic radiation, charged particle acceleration, and other applications of plasma waveguide.

    215 UA061624 D113p

    MULTICHARGED IONS FORMATION IN PLASMA OF ECR DISCHARGE

    S. Golubev, A. Bokhanov, I. Izotov, S. Razin, A. Sidorov, V. Skalyga, A. Vodopyanov, V. Zorin

    Institute of Applied Physics RAS, Nizhny Novgorod, Russia

    Great demand for multichargcd ion (MCI) sources stimulated investigation of new methods of plasma producing by means of ECR gas discharge in magnetic traps. The authors of this research propose a new type of pulse sources of multicharged ions, namely, a quasi-gas-dynarnic ECR source. Its main difference from the classical ECR ion sources is a different, quasi-gas-dynamic regime of plasma confinement in a magnetic trap [1]. A zero-dimensional model was constructed [2] that describes gas breakdown, formation of charge state distribution in a plasma, and plasma flux through the plugs of the trap. A wide spectrum of model experimental studies was covered. Plasma was produced and heated by a pulse (1 ms) gyrotron at the frequency of 37.5 GHz and power of 100 kW in a cusp magnetic trap with magnetic field in plugs up to 2.5 T. Such a trap has axisymmetric configuration and allows one to realize a quasi-gas-dynamic regime of confinement with reliable stabilization of MHD perturbations. It was demonstrated that with such a confinement regime it is possible to generate multicharged ions and create intense (more than 1 A/cm2) ion fluxes through the trap plugs. The flux could be easy regulated and extracted with high efficacy. Comparison of results of calculations and data of experiments shows that they are in a good agreement, which allows us to predict with a high degree of certainty creation of an ECR source of a new generation. The data obtained were used to design a pulse quasi-gas-dynamic ECR ion source with pumping at the frequency of 100 GHz, effective trap size 1 m, average ion charge in plasma comparable with that in the best classical MCI ECR sources but with an order of magnitude higher flux density and absolute magnitude of plasma flux through trap plugs. Creation of intense plasma fluxes allows one to extract high-current MCI beams of high brightness. Transverse homogeneity of a plasma flux makes it possible to use multi-aperture extraction system for formation on broad intense MCI beams.

    References 1. A. Vodopyanov, S. Golubev, V. Zorin, S. Razin, M. Shilov. Technical Physics Letters, v. 25, n. 7, 1999, p. 588-589. 2. V. Skalyga, V. Zorin. Proceedings of 16th International Workshop on ECR Ion Sources, Berkeley, California, 26-30 September 2004, p. 112-115.

    216 UA061625 D114p

    Extraction and Acceleration of High-Current Ion Beams of Multiply Charged Ions

    I. Litovko, E. Oks*

    Institute far Nuclear Research NASU47pr. Nauki, Kiev 03028, 'High-Current Electronics Institute, pr. Academicesky 2/3, Tomsk 634055, Russia

    The characteristics of the ion beam extracted from high current ion sources type MEWA were investigated by using computer code Kobra3-lNP. It has been used to evaluate the extraction and acceleration systems in attempt to generate an ion beam with high current, high brightness and low divergence. The results show that the shape of aperture plays important role in beam formation. The simulation can provide the basis for optimizing the extraction system and the acceleration gap for ion source.

    217 UA061626 D115p

    Model of Discharge in crossed ExH-fields with closed electron drift's under low pressure

    I. Litovko, A. Goncharov

    Institute for Nuclear Research NASV47 pr. Nauki, Kiev 03028,Ukraine 'institute of Physics NASU, 39, pr. Nauki, Kiev, 03028, Ukraine

    The self-consistent two dimensional model of discharge in cross ExH-fields with closed electrons drift had been creating and results from the model are presented. The system of equations is solved numerically using a finite difference technique. The distribution of electron density, temperature, current density and potential in spatial layer had been obtained for various plasma parameters

    218 UA061627 D116p

    Metal-hydride Activation Of Hydrogen As A Tool Of Ions Energy Controlling In Plasma Sources

    V.N. Borisko, Ye.V. Klochko, I.N. Sereda

    Kharkov National University by V.N. Karazin, Kurchatov av. 31, 61108, Kharkov, Ukraine [email protected]

    For the different new technological application of hydrogen ion beams it is necessary to develop and create ion sources that are often satisfied controversial demands. For instance, efficient controlling of energy distribution function of extracted ions, emission capability of the device as a whole and ets. are possible at sufficient understanding of the physical processes taken place in plasma of a source. The problem of independent energy controlling of extracted from a source hydrogen ions is partially solvable if as cathodes of plasma-forming stage of the source are used getter hydride-forming alloys Zr-V system, which are able reversibly absorb hydrogen at low working pressure [1J. Successful solution of this problem directly connected with preliminary excitation of hydrogen molecules desorbed from such compounds under ion bombardment and delivered to necessary working area of the ion source [2]. In this work the influence of metal-hydride activation of hydrogen on physical processes taken place in plasma of the ion source based on Penning trap with metal-hydride cathodes (flat or hollow) has been investigated. As a material of the cathodes was saturated with hydrogen alloy Zr3oVjoHx. The initial saturation with hydrogen was 229cm3 Hj per lg of the alloy under the normal conditions. The main conclusion of the investigations is the decreasing of energy of extracted ions by the means of increasing of ionization efficiency of hydrogen desorbed in vibrationally-excited state [3]. Thus, on basis of carried out experimental data the new method of energy distribution function of hydrogen ions controlling due to metal-hydride cathodes applying is suggested. Hydrogen desorption controlling from such materials allowed sufficiently affect on energy distribution function of the ions extracted along the axial direction. Acknowledgments

    This work was supported by Science and Technology Center in Ukraine (project Ns 3368).

    References

    1. Yu.F. Shmal'ko, V.V. Solovey and M.V. Lototsky. Use of hydrides in systems for supplying vacuum physical- energy installations. Hydrogen Energy Progress X. Proc. 10-th Word Hydrogen Energy Conf, (Cocoa Beach, Florida, U.S.A., 20 - 24 June, 1994). - Ed. by D.L. Block, T.N. Veziroglu. - Int Association for Hydrogen Energy 2, 1994, p. 1311-1319. 2. Yu. F. Shmal'ko, Ye. V. Klochko, N. V. Lototsky. Int. J. Hydrogen energy 21,1996p. 1057 - 1059. 3. V.N. Borisko, Ye.V. Klochko, I.N. Sereda. Probl. of Atomic Sci. and Tech., series: plasma physics 3, 2003, p.217-220.

    219 UA061628 D120p

    A study of ZnO and ZnO:Al thin films deposited by RF plasma jet at atmospheric pressure

    12 2 2 2 1 Chichina M.', Churpita O. , Hubicka Z. , Kment S. and Tichy M.

    Charles University in Prague, Faculty of Mathematics and Physics, V Holesovickdch 2, 180 00 Prague, Czech Republic Institute of Physics, Division of Optics, Academy of Sciences of the Czech Republic, Na Slovance 2, 18221 Prague 8, Czech Republic

    Abstract. We report on the application of barrier-torch plasma jet system - the novel plasma deposition system capable of working at atmospheric pressure in open air - for deposition of transparent and conducting ZnO thin layers. Keywords: barrier-torch discharge, ZnO thin film, atmospheric pressure, doping additions. PACS: 52.75.Ita, 52.77.-j, S2.80.Pi.

    The atmospheric RF barrier-torch plasma jet apparatus has been described in [1], It exists in single-jet and four-jet versions. We applied single-jet system for deposition of ZnO and ZnO:Al conductive oxide thin films at atmospheric pressure on quartz glass substrates. Plasma was excited by the RF power source using the metallic electrode wrapped around the quartz nozzle. Hence, the discharge plasma was not in direct contact with the metallic electrode and the RF current flew through the quartz glass dielectric barrier. Helium and Nitrogen gases were fed into the quartz nozzle. The RF electrode was connected with the 13.56 MHz RF power generator via the matching unit. Plasma jet excitation had to be pulse modulated in order to avoid thermal damages of the substrate. ZnO films in the role of transparent conductive oxide films gained recently wide interest due their stability in hydrogen plasma etc. They have applications in solar cell technology, gas detection, and many others TCO applications. As growth precursors for ZnO films, Zn-acetylacetonate vapors were used. Al-acetylacetonate vapors were used as the accessory precursors for Al doping. The solid powder of Zn-acetylacetonate and Al-acetylacetonate were placed into the separate containers, which were heated up to the (controlled) temperature 110°C. The additions of doping to growth precursor Zn-acetylacetonate were expected to give rise to the thin films conductance via the N type conductivity. XRD analyses have shown that the ZnO thin films on quartz glass substrates have a pronounced crystal hexagonal structure with preferable crystallites orientation with 'c' axis perpendicular to the substrate surface. The chemical composition of the films was very close to that of stoichiometric ZnO. Using the Van der Pauw four-point method [2] we performed measurements of the conductivity of the deposited ZnO thin films in dependence on the deposition conditions (precursor temperature, distance from the plasma jet to the substrate, gas flow rate etc.) aiming at achieving maximum conductivity of the deposited ZnO:Al layer.

    ACKNOWLEDGMENTS

    This work is a part of the project MSM 0021620834 that is financed by the Ministry of Education, Youth and Sports of the Czech Republic. Thanks are also due to Czech Science Foundation, grants No. 202/05/2242 and 202/06/0776.

    REFERENCES i. Z. Hubicka ct al., Plasma Sources Science & Technology 11,195 (2002). 2. L. J. van der Pauw, Philips Tech. Rev 20,220 (1958).

    220 UA061629 M21p

    Numerical Model of an rf Inductive Discharge in a Magnetic Field A. A. Guryn and K. P. Shamrai

    Institute for Nuclear Research NAS of Ukraine, 47 Prospect Nauki, 03680 Kiev, Ukraine Keywords: Inductively coupled plasmas, numerical simulation, rf sheaths PACS: 52.65.Kj, 52,80.Pi

    Inductively coupled plasmas (ICPs) have being developed as advanced tools for various applications [ 1 ]. Along with other bounded plasmas, ICPs contain the near-wall sheaths that substantially determine particle and energy balance [1-3] and impose the effective boundary conditions on electromagnetic fields. For this reason, the effect of sheaths should be taken into account in discharge modeling. We report the results of computations of spatiotemporal distributions of charged-particle densities, fluxes and electromagnetic fields in an inductive rf discharge in an external magnetic field. The model is based on a numerical solution of continuity equations for electrons and ions coupled with accurate electron momentum transfer equation and Maxwell equations. The ion motion is considered only as being governed by the rf-averagedelectri c field and static magnetic field. The main input data include the rf electric field penetrating into the discharge volume, gas pressure and ion production rate. In such a way, the self-consistent nonlinear response of plasma having the helicon resonance is computed. The algorithm uses the flux-corrected-transport(FCT ) method to minimize numerical diffusion and to hold the precipitous electron density drop near the chamber walls. The FCT code gives advantages over the usually used drift-diffusion approximation in that it enables to describe thoroughly the dynamical near-wall sheaths which show at low pressures the semi-conductive effect, i.e., the full breaking of electron conductive current during a part of the rf period. The model yields time-average distributions of plasma potential and density and the sheath parameters. The role of the near-wall sheaths in forming the effective plasma boundary conditions and the effect of generation of accelerated ion flux onto the wall are discussed comparatively with other results.

    REFERENCES M. A. Lieberman and A. J. Lichtenberg, Principles of Plasma Discharges and Materials Processing, New York: Wiley, 1994. R. N. Franklin, J. Phys. D 36, R309 (2003). N. Hershkowitz, Phys. Plasmas, 12,055502 (2005).

    221 UA061630 D122p

    Effect of Cathode Material in Obstructed Discharge Regime Bolouki N.

    Plasma Physics Research Center, Science & Research Campus of Islamic Azad University P.O. Box: 14665-678, Tehran, Iran NBolouki @ Gmail. com

    In this study, obstructed discharge is created in electron gun source by DC high voltage. Electron beam is formed by this discharge regim in pyrex tube as vacuum chamber. In this process ions and fast neutrals collide to concave cathode then electrons scape from potential barrier, In the other hand we have secondary electron emission. In this paper we investigate diode-beam current and voltage-current characteristics with different cathodes such as aluminum, brass, copper and steel.

    222 UA061631 D123p

    Distributions of Plasma Parameters, Electron Energy Characteristics and LF Wave Activity in a Magnetized ICP V. M. Slobodyan, V. F. Virko, K. P. Shamrai and G. S. Kirichenko

    Institute for Nuclear Research NAS of Ukraine, 47 Prospect Nauki, 03680 Kiev, Ukraine Key words: Inductively coupled plasma, abrupt density jumps, election energy distribution, low-frequency turbulence PACS: 52.35.Hr,52.40.Fd,52.50.Dg

    Inductively coupled plasmas (ICPs), even without external magnetic field, demonstrate intricate physics originating from numerous cooperative phenomena (e.g., [1]). Applying the magnetic field considerably enhances the efficiency of plasma generation and, on the other hand, greatly diversifies physical processes due to appearance of waves [2-5]. We report the results of probe measurements of plasma parameters, electron energy distributions, and wave activity, which were performed to reveal the effect of magnetic configuration on characteristics of a magnetized ICP. The source has a 20-cm-diam, 30-cm-long stainless-steel chamber and is excited through a quartz window by a single-loop (m = 0) flat antenna at a frequency of 13.56 MHz and power up to 1.5 kW. The magnetic field of variable strength, < 200 G, and configuration was produced by three solenoids with separate current control. Ar gas was used at pressures 0.5 - 10 mTorr. Characteristics of plasma and the HF and LF oscillations were measured using electric, thermo-emissive and magnetic probes and the probe with modulated bias potential. The discharge regime strongly depends on strength and configuration of the magnetic field. With increasing field, plasma density first rapidly grows, then varies with abrupt jumps which reduce the density, and, finally, breaks down at a critical field. The jumps are followed by strong changes in radial profiles of density and space and floating potentials. The most intense discharge mode, with density above 1 x 1012 cm-3 and peaked profile, occurs at moderate magnetic fields with lines converging from the antenna into the chamber. At lower and higher fields, the discharge is weaker and the density profile is flattened. Space potential in non-intense modes is strongly peaked on the axis, with maximum 30 — 50 V, while the floating potential falls on the axis down to — (10 — 20) V. In the intense mode, the space (floating) potential has off-axis maximum (minimum). Electron temperature is 2.5 — 4.5 eV and depends slightly on radius and operating mode. Probe characteristics show two different temperatures, the lower (higher) one being related to more (less) energetic electrons. Together with strong difference of space and floating potentials, this evidences presence of non-maxwellian electrons. Indeed, energy distributions taken with the second derivative method demonstrate fast electron population whose current amounts to a few percent of the total electron current to the probe. We have also detected LF wave activity which exists over a broad range of parameters and depends strongly on magnetic configuration and on distributions of static plasma parameters. At lower magnetic fields, LF oscillations have spiky spectrum, are quite well correlated, propagate with the ion-acoustic velocity, and are located at the plasma periphery. These oscillations are driven, most probably, by the azimuthal electron drift current. With increasing magnetic field, LF activity spreads over the whole plasma cross-section. The amplitude of oscillations grows several- fold, the spectrum broadens, up to 1 - 1.5 MHz, and becomes continuous, while the correlation falls sharply. These oscillations are thought to arise from combined action of the electron drift and parametric instability. This work was supported by the Science and Technology Center in Ukraine under contract No. 3068.

    REFERENCES

    1. V. A. Godyak, Plasma Phys. Contrvl. Fusion 45, A399 (2003). 2. J. E. Stevens, M. J. Sowa and J. L. Cecchi, J. Vac. Set Techhnol. A13,2476 (1995). 3. S. Shinohara, S. Takechi, Y. Kawai, Jpn. J. Appl. Phys, 35,4503 (1996). 4. V. M. Slobodyan, V. F. Virko, G. S. Kirichenko and K. P. Shamrai, Problems of Atomic Sci. Technol. No. 4,235 (2003). 5. K. P. Shamrai, S. Shinohara, V. F. Virko, V. M. Slobodyan, Yu. V. Virko and G. S. Kirichenko, Plasma Phys. Control. Fusion 47, A307 (2005).

    223 UA061632 D124p

    Effect of an oblique magnetic field on a plasma sheath consisting two-species positive ions Hatami M. M.

    Laser Research Institute ofShahid Behesti University Evin 19839, Tehran, Iran P.O.-1983963113 [email protected]

    The plasma sheath problem has many applications in ion implantation. Many authors investigate this problem under various conditions such as collisional or collisinless plasma sheath, positive or negative ions, etc. But most of them ignore the effect of a magnetic field on the plasma sheath. However, the problem will be complicated in the presence of a magnetic field but ions have some interesting behavior in a magnetized plasma sheath structure. Recently, some papers about a magnetized plasma sheath which is consist of one-species positive ion are presented. We consider a magnetized collisionless plasma sheath which is consist of two-species positive ions which have different masses but same ionization ratio(z=l). Numerical results show that under influence of an oblique magnetic field with constant strength the velocity and the density distribution of both ions will experience fluctuations in the x-direction (toward cathode) and with increasing the angle of the magnetic field with respect to x- direction these fluctuations will be more intense and the ions will impact to cathode with bigger velocity which in turn has importance in ion implantation methods. Also the length of the sheath will change with changing the magnetic field's direction.

    224 UA061633 D125p

    Driving Mechanisms of Ion-Acoustic Activity in an m — 0 Helicon Plasma K. P. Shamrai, V. F. Virko and V. M. Slobodyan

    Institute for Nuclear Research NAS of Ukraine, 47 Prospect Nauki, 03680 Kiev, Ukraine Keywords: Helicon plasma, ion acoustic waves, election drift driven instability, parametric instabilities PACS: 52.35.Hr,52.40.Fd,52.50.Dg

    Excitation of ion-acoustic (IA) turbulence in helicon plasmas was first predicted theoretically to arise from kinetic parametric instability of a pump helicon wave []]. Afterwards, it was revealed in many experiments that IA activity in the megahertz range of frequencies is inherent to helicon plasmas independently of the source design [2-8]. This activity is observed, depending on experimental conditions, as a continuous broadband spectrum of noise oscillations [2,4,6,8], or as a spiky spectrum [5,8], or as a combination of continuous spectrum with a single spike [3,5,7] or multiple spikes [7]. In addition to the kinetic parametric instability, other driving mechanisms were also considered, such as parametric decay instability [3,6] and oscillating two-stream instability [4], Experimental evidences have been obtained in support of the parametric instabilities; viz., matching conditions on frequencies and wave numbers of the pump, IA, and HF sideband waves [3,6], and excitation threshold on the if power for the IA waves [4]. It was noted that excitation of the IA waves can also result from the kinetic instability driven by an electron drift current streaming across the magnetic field [5], We report the results of theoretical analysis of various mechanisms stimulating IA activity in a helicon plasma excited by an azimuthally symmetric (m = 0) antenna, with application to experiments carried out in our laboratory [7,8]. Kinetic instability driven by various electron drifts, such as diamagnetic, Hall, and magnetic-gradient drifts, is treated in detail considering the fact that in experiments the location and propagation directions of the IA waves correlate well with the location and direction of the drift current. Growth rates of this instability are found to be quite high, so that it seems to be an appropriate candidate for interpretation of the broadband continuous spectra of the IA waves. We have also examined parametric decay instabilities driven by the helicon pump wave and the concomitant quasi-electrostatic wave arising due to linear mode conversion. This instability is found to be appropriate for interpretation of the IA wave and the HF sideband partner from the spiky spectra, inasmuch as these waves obey matching conditions on frequencies and wave numbers and have an excitation threshold on the rf power. Finally, we analyzed the instability arising under the action of both non-equilibrium factors, to interpret the fact that the waves have preferential propagation direction along azimuth. This work was supported by the Science and Technology Center in Ukraine under contract No. 3068.

    REFERENCES

    1. A. I. Akhiezer, V. S. Mikhailenko and K. N. Stepanov, Phys. Lett. A 245,117 (1998). 2. N. M. Kaganskaya, M. Kramer and V. L. Selenin, Phys. Plasmas S, 4694 (2001). 3. J. L. Kline and E. E. Scime, Phys. Plasmas 10, 135 (2003). 4. V. F. Viiko, O. S. Kirichenko and K. P. Shamrai, Plasma Sources Set. Technol. 12,217 (2003). 5. C. S. Corr, N. Plihon, P. Chabert, O. Sutherland and R. W. Boswell, Phys. Plasmas 114596 (2004). 6. B. hotenz, M. Kramer, V. L. Selenin and Yu. M. Aliev, Plasma Sources Sci. Technol. 14,623 (2005). 7. V. R Virko, K. P. Shamrai, Yu. V. Virko and G. S. Kirichenko, This conference. 8. V. M. Slobodyan, V. F. Vwko, K. P. Shamrai and G. S. Kirichenko, This conference.

    225 UA061634 D126p

    Continuous and Discrete Spectra of LF and HF Waves in a Helicon Plasma V. F. Virko, K. P. Shamrai, Yu. V. Virko and G. S. Kirichenko

    Institute for Nuclear Research NAS ofUkraine, 47 Prospect Nauki, 03680 Kiev, Ukraine Keywords: Helicon discharge, ion acoustic waves, electron drift current, parametric instabilities PACS: 52.35.Hr.5Z40.Fd.52.50.Dg

    Experiments on various helicon plasma sources have revealed excitation of ion-acoustic (IA) turbulence in the megahertz range of frequencies [1-5]. Evidences have been presented that wave excitation results from parametric instabilities of helicon pump wave [2,3,5]. One more probable or. jin for the IA waves is the instability driven by electron drift across the magnetic field [4]. We report the results of probe measurements of low-frequency (LF) waves and high-frequency (HF) waves in pump sidebands, which were performed in a helicon plasma along with measurements of diamagnetic signal and stationary plasma parameters, in order to reveal the origin of IA turbulence. Experiments were made on a 14-cm-diam, 36-cm-long helicon source driven at a frequency of 13.56 MHz by an azimuthally symmetric (m = 0) antenna. Plasma of density up to 2 x 1012 cm-3 was generated at input power of 1 kW, Ar pressure of 5 mlbrr, and low magnetic fields, < 100 G. The source was operated in two modes: with uniform magnetic field and with nonuniform field growing from the antenna towards the source outlet Measurements were made with electrostatic and magnetic, single and double probes and with a diamagnetic loop. LF spectra have minimum amplitude on the discharge axis and include continuous noise component, in the range up to 1 MHz, and one (in the uniform magnetic field) or several equidistant (in the nonuniform field) discrete spikes, in the range 0.1 —0.2 MHz. Noise oscillations, with relative density pulsations about 1%, were identified with IA waves which propagate obliquely in plasma cross-section (i.e., both azimuthally, along electron gyration, and radially, towards plasma periphery) with phase velocity about the IA velocity, ~ 3 x 105 cm-s-1. LF waves of spiky spectrum have excitation threshold on the rf power, propagate along azimuth closer to the plasma periphery, and are found to be global IA modes with high azimuthal numbers, m = 10 -17. Wave ropagation directions are opposite in the uniform and nonuniform magnetic field and are along streams of electron drift currents detected with the diamagnetic loop. HF sideband spectra, both in capacitive and in magnetic signals, reproduce the structure of LF spectra, i.e., include both continuous and spiky components. Noise component measured with capacitive probes is symmetric relative to the driving frequency. However, phase measurements show that it does not relate to any potential waves and arises, most probably, from modulation of the probe signal at the driving frequency by the IA waves. On the contrary, sideband spectra measured with the magnetic probe are asymmetric, with predominance of the lower sideband, and are identified with the waves traveling azimuthally with phase velocities (2.5 — 4.5) x 107 cm-s-1. Propagation directions are opposite for the lower and upper sidebands and depend on that whether the magnetic field is uniform or nonuniform. The lower sideband waves have the same lengths as the LF partners but propagate oppositely. At the same time, the phase of signal at the driving frequency is independent of azimuth, which is typical for a true m — 0 wave. Thus, the waves related to spiky components of HF and LF spectra satisfy matching conditions for parametric decay of the pump wave. The amplitude of magnetic signal of the "red" satellite can amount to 30% of that of the pump wave. This work was supported by the Science and Technology Center in Ukraine under contract No. 3068.

    REFERENCES

    1. N. M. Kaganskaya, M. Kramer and V. L. Selenin, Phys. Plasmas 8,4694 (2001). 2. J. L. Kline, E. E. Scime, R. F. Boivin A. M. Keesee, X. Sun and V. S. Mikhailenko, Phys. Rev. Lett. 88,195002 (2002). 3. V. F. Virko, G. S. Kirichenko and K. P. Shamrai, Plasma Sources Sci. Technol. 12,217 (2003). 4. C. S. Corr, N. Plihon, P. Chabert, O. Sutherland and R. W. Boswell, Phys. Plasmas II, 45% (2004). 5. B. Lorenz, M. Kramer, V. L. Selenin and Yu. M. Aliev, Plasma Sources Sci. Technol. 14, 623 (2005).

    226 UA061635 D127p

    Compact Helicon Plasma Source with Permanent Magnets in Various Configurations Yu. V. Virko, K. P. Shamrai, V. F. Virko and A. I. Yakimenko

    Institute for Nuclear Research NAS of Ukraine, 47 Prospect Nauki, 03680 Kiev, Ukraine Keywords: Helicon discharge, permanent magnets, emergent ion beam PACS: 52.35.Hr,52.40.Fd,52^0JDg

    Helicon sources have being developed as advanced tools for various applications, such as electric propulsion (e.g., [1]). These devices normally operate in relatively uniform external magnetic fields produced by electromagnets. The sources with permanent magnets (PMs), which are preferable for some applications, have being also developed [1-5J, but their characteristics are much less examined. The magnetic fields of the PMs are normally strongly nonuniform and include the null points (cusps). Generally speaking, the field nonuniformity is helpful in increasing the efficiency of plasma generation [6,7], but to a certain extent only, above which wave propagation and plasma outflow are hindered. We report the results on optimization of the helicon source equipped with flexible, variable magnetic system. The discharge in argon was excited in a 4.5-cm-diam quartz chamber by a three-turn m = 0 antenna supplied at a frequency of 13.56 (27.12) MHz and power up to 0.7 (0.3) kW. The magnetic field was created by a multi-component system consisting of the annular ferrite (PM), electromagnet (EM), cylindrical ferrite array (CFA), and iron circuit. Characteristics of plasma and emergent ion beam were measured by axially movable probes and rotatable retarding field energy analyzers (RFEA). With use of the PM only, there are field cusps astride the PM. In this case, plasma density is maximum under the antenna and low flux is ejected from the source. Adding the EM enables to remove both cusps and to enhance several- fold both the density, up to 3 x 1012 cm-3 at 700 W input power and 5 mTorr pressure, and plasma outflow. In this operating mode, the discharge chamber can be as short as 10 cm, which was revealed using a movable end plate. In a similar magnetic configuration created using the CFA instead of the EM, the plasma density is even higher and also peaks near the source outlet. Electrostatic potential, which arises near the source outlet due to strong magnetic field and plasma gradients, accelerates efficiently ions without use of the ion optics. Measurements of ion energies with the rotatable RFEA have revealed the two groups of ions in the drift chamber. The first group, with energies in the range of a few tens of eV, relates to plasma potential in the drift chamber. The second group, with energies above 100 eV, arises at pressures below 1 mTorr and comes from the source. High ion energies are due to high plasma potential in the discharge chamber, where the electron temperature exceeds 10 eV. Using the output diaphragm enables operation with higher gas pressures in the discharge chamber, which raises the plasma density and the discharge stability and, at the same time, maintains the efficient ion acceleration. This work was supported by the Science and Technology Center in Ukraine under contract No. 3068.

    REFERENCES

    1. K. P. Shamrai, A. F. Aleksandrov, G. E. Bougiov, V. F. Virko, V. P. Katyukha, S. K. Koh, E. A. Kralkina, G. S. Kirichenko and A. A. Rukhadze, J. Physique Coll. IV 7, C4-365 (1997). 2. I. S. Hong, Y. S. Hwang, G. H. Lee, D. Y. Kim, H. Y. Won, G. S. Eom and W. Choe, Rev. Sci. Instrum. 71,1385 (2000). 3. K. Sasaki, H. Kokubu, D. Hayashi and K. Kadota. Thin Solid Films 3S6,243 (2001). 4. V. L Miroshnichenko, S. N. Mordik, V. V. Olshansky K. N. Stepanov, V. E. Storizhko, B. Sulkio-Cleff, V. Voznyy, Nucl. Instr. andMeth. B 201,630 (2003). 5. F. F. Chen, Private communication (2005). 6. G. Chevalier and F. F. Chen, J. Vac. Sci. Technol. A11,1165 (1993). 7. V. F. Virlco, K. P. Shamrai, G. S. Kirichenko and Yu. V. Virko, Phys. Plasmas 11,3888 (2004).

    227 UA061636 D130p

    Electron Heating and Acceleration while Magnetoshere Substorm due to Varying Phase Velocity

    Karas' V.I., Potapenko I.F*.

    NSC "Kharkov Institute of Physics &Technology" ofNAS ofUkraine,6U08, Kharkov, IAkademicheskaya Str. *Kelcfysh Institute of Applied Mathematics ofRAS, 125047, Moscow, Miusskaya sqA

    Keywords: magnetosphere substorm, Fokker-Planck kinetic equation, electron precipitation, chorus radiation, whistler wave, varying phase velosity. PACS numbers: 52.65.Ff; 52.35.Bj; 52.65.-y

    The influence of the whistler wave with varying phase velocity vph(f) on the electron distribution function is studied by numerical simulations. A quasi-linear operator models the electron damping of plasma eigenmodes. Weak collisions are taken into account via 2D in the velocity space nonlinear Fokker-Planck kinetic equation. The objective of the paper is to discuss some properties of chorus radiation while magnetosphere substorm. This radiation (see for example [1]) consists in successive discrete positively inclined elements, *&»/<# >0, that follow consequently with frequency 1-10 kHz. Micro precipitation of electrons with energy more than 20 keV is closely connected with chorus. In the paper we consider that the weak turbulence is composed of hydromagnetic waves that are assumed to be propagating primarily along the ambient magnetic field. The dynamic of process is estimated under condition of varying in time of phase velocity and hence of phase resonance on the base of chorus radiation while substorms. This allows us to explain acceleration and heating of energetic electrons that double up energy as far as on the stage of substorm there occurs almost instant injection of 10 keV electrons. Numerical results are illustrated with pictures.

    References

    1. T.G.Rosenberg, J.C.Siren, D.L.Matthews, et al. Conjugacy of electron microbursts and VLF chorus, J.Geophys. Res., 86, 5819-5832 (1981). 2.1.F.Potapenko.GA.Azevedo Numerical simulation of heating problems for a weakly collisional plasma, Computer Physics Communications, 121-122,274-277 (1999).

    228 UA061637 D131p

    To models of the ion-assisted deposition of multicomponent coatings and related processes.

    T.D.Radjabov,R.Yu.Leiderman,I.E.Djamaletdinova

    NPO Academpribor, 700125 Tashkent,Academgorodok, Uzbekistan.

    On the basis of two earlier offered alternative generalizations of linear transport theory named after Zigmund- Grass-Marti and well known concept of the effective atomic volumes, two versions of the closed systems were build. They describe ion-assisted deposition of multicomponent and/or multilayered coverings, plural implantation, etc. in the view of collision the effects induced by an ion irradiation. Both versions, besides the temporary equations, describe the evolution of atomic density of components of a covering and contain quasistacionary equation of the distribution of ions penetration and function relocation (FR). In one of the versions two-index FR are used in a case of spatially non-uniform multicomponent environment, and in another version,-entered earlier "not initial" three-index FR of the second order. Also the direct and return equations of carry determining, more general objects temporary FR in phase space were researched. We researched transformation properties of all these equations at change of a scale of depth and density according to method named after Braies. The transition to diffusion of approximation of the evolutionary equations for density was discussed. As an example we have nonlinear differential equation Fokker-Plank type to the elementary linear equation of diffusion.

    229 UA061638 D134p

    Plasma nanoscience: introducing the International Research Network for Deterministic Plasma-aided Nanofabrication K. Ostrikov1, S. Xu2,1. Levchenko1'3, M. Keidar4, X.Q. Pan4, X.X. Zhong5,1. Denysenko7, M. Yu6, H. Sugai8, H. Toyota8, Z. Tsakadze9, V. Ligatchev10, J.D. Long2, P. Rutkevych2, N.A. Azarenkov7, L. Stenflo11, E. Tsakadze12, H.J. Yoon13, S. Popel14, K. Yukimura3, R. Storer15, S. Kumar16, YD Zhen17 , K.N. Tu18, B.C. Zhang19, YP. Feng20, C.Q. Sun21, Z. Sun22, J.B. Xu23, C.S. Wong24, J.W. Chai25, G.Q. Tao26 , X.P. Lu27, T. Murphy28,1.H. Cairns1, P.A. Robinson1, Y Liu29, K. De Bleecker30, A. Bogaerts30, W. Goedheer31

    School of Physics, The University of Sydney, 2006, NSW, Australia; 2Plasma Sources and Applications Center, N1E, Nanyang Technological University, 637616 Singapore; 3Doshisha University, Kyoto, Japan;4University of Michigan, Ann Arbor, USA; 5 Shanghai Jiao Tong University, China; ^Ruhr-University Bochum, Germany; 1Kkarkiv National University, Ukraine; ^Electrical Engineering, Nagoya University, Japan;9'School of Materials Engineering, NTU, Singapore; l0Nanoscience Innovation Pty Ltd, Singapore; "Umea University, Sweden; izRISO National Laboratory, Denmark; ^Pusan National University, Busan, Korea;14Institute for Dynamics of Geospheres, Russian Federation;li Flinders University, Australia; l6The University of South Australia; ^Department of Physics, Nanjing University, China; ^Department of Material Science and Engineering, UCLA, USA;l9 Chartered Semiconductors MFG, Singapore;20 Department of Physics, National University of Singapore;21 School ofEEE, NTU, Singapore; ^Eastern China Normal University; 23Chinese University of Hong Kong; ** University of Malaya, Malaysia;2S Institute of Materials Research and Engineering, Singapore; 26Philips Semiconductors, Eindhoven, The Netherlands;21 Old Dominion University, Norfolk, VA, USA; ^CSIRO Industrial Physics, Lindfield, NSW, Australia;29 Dalian University of Technology, China; ^University of Antwerp, Belgium; 3l FOM-Institute for Plasma Physics "Rijnhuizen", The Netherlands.

    The existing approaches to fabricating exotic nanostructures and functional nanofilms are mostly process-specific and suffer from cost-inefficient "trial and error" practices. One of the reasons is that the ability to control the generation, transport, deposition, and structural incorporation of the building units of such films and structures, still remains elusive. On the other hand, the concept of deterministic plasma nanoscience is treated with extreme caution due to inherent chaotic nature of the plasma at the microscopic level. This contribution is an overview of recent work within the International Research Network for Deterministic Plasma-Aided Nanofabrication (1RNDPAN) and details how to challenge one of the previously intractable problems of bridging nine orders of magnitude between the sizes of plasma nanofabrication facilities ( 0.5 m) and self-organization of adsorbed building units on solid surfaces ( 0.2 run). One of the possibilities is to manipulate the building blocks in the non-neutral layer of space charge that separates the plasma and solid surfaces and control self-organization of nanostructure building blocks on plasma- exposed surfaces and their insertion into the nanoassemblies. The results of advanced computer simulation allow one to obtain the microscopic topology of ion fluxesi n the vicinity of selected functional nanostructures and the arrangement of adsorbed species into nanopatterns on solid surfaces. These results are linked, via the sheath parameters, to the building unit densities and energies in the plasma bulk and eventually to the process control parameters. On the other hand, the desired nanoassemblies can be engineered by using atomistic ab initio density functional theory approaches. Recent experimental and computational results obtained within the IRNDPAN suggest the possibility of deterministic synthesis of conical nanotip structures for electron microemitter arrays, and are discussed in this talk. For more information please email [email protected].

    230 UA061639 D136p

    Effect of plasma nitriding on the surface of gamma based titanium aluminides Rastkar A. R.*, Shokri B.* and Niknam A. R.*

    *Laser-Plasma Research Institute, Shahid Beheshti University Tehran, Iran

    Gamma based titanium aluminides were plasma nitrided. The effects of nitriding temperature, nitriding time and H2/N2 gas ratio were investigated. The microstructure and phases formed within the nitrided surface layers were characterised using optical and electron microscopy, X-ray diffraction (XRD) and glow discharge spectroscopy GDS. The wear resistance of the plasma nitrided samples increased considerably against ball bearing steel (AISI 52100). Experimental results indicated that time controls the thickness and nitriding temperature, and H2/N2 ratio.

    231 UA061640 D141p

    Plasma of Free Burning Electric Arc between Composition Electrodes in Air

    A.N. Veklich1. I.L.Babich1, V.Ye.Osidach1, L.A.Kryachko2, R.V.Minakova2

    'Taras Shevchenko Kyiv National University, Kyiv, Ukraine 2 Institute of Materials Technology Problems NAS of Ukraine, Kyiv, Ukraine

    A wide application of composition materials in the electrical device industry inspired a renewed interest in the investigation of plasma of an electric arc discharge between such material electrodes. A study of arc plasma parameters will be able to facilitate the optimization of various manufacturing equipments. Electrical and thermophysical properties of silver or copper and composition materials on its base predetermine the wide popularity of their application, especially, for contacts of switching devices. In this paper the processes occurred in a free burning electric arc in air between electrodes from composite materials on the base of cooper (Cu, Cu-W, Cu-Mo, Cu-Mo-LaB^ and silver (Ag, Ag - CdO, Ag - Ni) were studied. Processes occurred in free burning electric arc discharges can be serve as model of processes between contacts of switching devices. The arc was ignited in air between the end surfaces of the non-cooled electrodes. The diameter of the rod electrodes was of 6 mm. Because of the discharge spatial and temporal instability the method of the single tomographic recording of the spectral line emission was used. A 3000-pixel CCD linear image sensor (B/W) Sony ILX526A accomplished fast scanning of spatial distributions of radiation intensity. In a combination with a monochromator it allows recording the radial distribution of nonstationary arc radiation intensity in the average cross section of the discharge simultaneously. The control of the CCD linear image sensor was realized by the IBM personal computer [1], At the first stage of the investigation the radial profiles of temperature and electron density were determined in the average cross section of the discharge gap 1* = 2, 4, 6 and 8 mm in air at arc currents 3.5 and 30 A. The temperature profiles are obtained from relative intensities of spectral lines Cul 510.5 and 521.8 nm or Agl 520.9, 768.7, 827.3 nm or Cdl 479.9, 508.5 and 643.8 nm. The electron density profiles are obtained from the width of the spectral line Cul 515.3 nm or Agl 466.8 nm in an assumption of Stark broadening. On the base of experimentally obtained temperature profiles and radial profiles of intensities of silver and nickel or silver and cadmium or copper and molybdenum spectral line the ratio of these atom concentrations in plasma were calculated in the assumption of the equilibrium of the energy level population [2]. Based of spatial profiles of the temperature and electron density the model of the investigated plasma can be developed. The obtained electron density and the temperature in plasma as initial parameters were used in the calculation of the plasma composition in LTE assumption. As an additional experimentally obtained parameter we used the ratio of atom concentrations. The structural changes in a working layer of electrode take place during the electric arc discharge. These changes were studied metallographicly by analysis of micro volumes of a working layer [3]. It is visible from the analysis of the obtained results that the processes occurred in the discharge gap are determined by erosion of the electrode material and condition of its surface.

    [1] Veklich A.N., Osidach V.Ye. Spectroscopy of electric discharge plasma in metal vapours // Problems of Atomic Science and Technology. Series: Plasma Physics (1 l).-2005.-Afa2.-P.229-231. [2] Babich I.L.,Veklich A.N., Kryachko L.A., Minakova R.V., Osidach V.Ye. Thermal Plasma of a Free Burning Electric Arc between Consumable Electrodes // Switching Arc Phenomena. 10th Inter. Conf. SAP. Lodz. 19-22 Sep.-20O5.-P.150-154. [3] Babich I.L., Veklich A.N., Kryachko L.A, Minakova R.V, Osidach V.Ye. The electric arc plasma temperature: the role of the secondary structure of the composition electrode's working layer // Problems of Atomic Science and Technology. Series: Plasma Physics (1 l).-2005.->f22.-P.98-100. 232 UA061641 D142p

    Suppression of Kink Instability in Magneto-Plasma-Dynamic Thrusters Zuin M.*, Paganucci F.*, Cavazzana R.*, Martines E*, Rossetti P.*, Serianni G.*, Signori M.f, Antoni V.* and Andrenucci M.+

    "Consorzio RFX, Associazione Euratom-Enea sulla Fusione C.soStati Uniti,4,1-35127 Padova, Italy 1' Centrospazio viaA.Gherardesca 5,56014 Pisa, Italy

    Magneto-Plasma-Dynamic (MPD) thrusters are space propulsion devices, which operate as electromagnetic plasma particles accelerators and constitute a high electric propulsion candidate for missions, ranging from orbit raising to interplanetary manned and/or cargo missions of large spacecraft. The acceleration is induced by the interaction between a current, driven by a potential difference between an anode and a cathode, and a magnetic field, which can be a combination of a self-induced (i.e. produced by the plasma current itself) and an externally applied one. When driven to operate at plasma currents above a threshold value, MPD thrusters have shown a degradation of their performance, in terms of thrust efficiency, associated to the so called "onset" phenomenon, characterized by large fluctuations of the electrodes and the electromagnetic plasma signals. Recent experimental investigations have shown that such fluctuations are induced by the development of large-scale MHD instabilities, with the features of helical kink modes, which are indeed responsible for the large increase of the electric power losses beyond the onset condition [1], In this work a first successful attempt aimed at controlling these instabilities and the effect of the kink mode suppression on the global properties (thrust and power balance) are presented. The technique is based on the insertion in the plasma column of an insulating plate, which intercepts the undesired helical current components produced by the kink, without modifying the axial and radial plasma currents necessary to the thrust mechanism. In this way a tremendous reduction of both electrostatic and magnetic field fluctuations is obtained, with the generation of almost quiescent plasma. As a consequence the power losses of the thruster are noticeably reduced, with a significant improvement of the thrust efficiency.

    [1] M. Zuin, R. Cavazzana, E. Martines, G, Serianni, V. Antoni, M. Bagatin, M. Andrenucci, F. Paganucci, P. Rossetti,. Phys. Rev. Lett. 92,225003 (2004).

    233 UA061642 D143p

    Optical diagnostic of low-pressure plasma-liquid system with secondary discharge supplied by plasma flow

    I. Prysiazhnevych, V. Chernyak, T. Lisitchenko, Yu. Safonov

    Plasma Lab, Dept. of Physical Electronics, Faculty ofRadiophysics, Taras Shevchenko Kyiv National University Prospect Acad. Glushkova2/5, 03J27 Kyiv, Ukraine, e-mail: prrvfaMkr.net chern(8>,univ.k iev.ua

    The probe and spectroscopy studies are made of the low-pressure plasma-liquid system with a secondary electric discharge. The existence of the jump of the electric, field potential on the plasma-liquid boundary and its dependence on the current and polarity of the discharge is demonstrated. The axial distribution of floating potential of the secondary discharge is investigated. The emission spectra of plasma of the secondary discharge in such system were analyzed. It was shown that the most intensive spectral lines in emission spectra belong to hydrogen-containing species: hydrogen H (atomic lines of Ballmer series H0 656.3 nm, Hp 486.1 nm, Hy 434.0 nm), oxygen O (atomic lines 01 777.3, 844.6, and 926.0 nm) and hydroxyl 2 2 OH (A Z-X n 0,0-band at 306-309 nm). The electronic excitation temperature 7*0 of H atoms was determined from the relative intensities h of corresponding emission lines. Its value varies in the range from 0.4 to 0.5 eV and depends on the treatment time /. The obtained hit) and T*e(t) dependencies allow to estimate the concentration of released hydrogen. It was found that concentration of H atoms near the liquid surface is much more in the case of negative polarity of the immersed into the liquid electrode. It means that plasma of the secondary discharge can be effectively enriched by free hydrogen.

    234 UA061643 D144p

    Plasma combustion of ethanol/air mixture in the transverse arc

    V.V. Yukhymenko. V.Ya. Chemyak, V.V. Naumov, Iu.P. Veremii, V.A. Zrazhevskij

    Faculty ofRadiophysics, Dept. of Physical Electronics, Taras Shevchenko Kyiv National University, Prospect Acad. Glushkova6, 03127 Kyiv, Ukraine; e-mail: [email protected]; Institute of Fundamental Problems for High Technology, Ukrainian Academy of Sciences Prospect Nauki 45, Kiev 03028, Ukraine; e-mail: [email protected].

    The influence of preliminary plasma reforming of fuel on burning efficiency was investigated. The ethanol was chosen as researched fuel. The electrical discharge in the gas channel with a liquid wall was used for preliminary ethanol reforming. The burning was supported by transverse arc discharge in a flow of mix air + reformed ethanol. Emission spectroscopy of plasma was applied to control of burning process. The population distribution temperatures of excited states of plasma components was determined on relative intensity of spectral lines and molecular bands.

    235 UA061644 D145p

    Optical properties of plasma-liquid system with discharge in the gas canal with liquid wall and secondary discharge

    Iu. Veremii, V. Chernyak, lV. Naumov, V. Yukhymenko, N. Dudnyk

    Faculty of Radiophysics, Depi. of Physical Electronics, Taras Shevchenko Kyiv National University, Glushkovast. 6, 03127, Kyiv, Ukraine; e-mail: tin®,unh>.kiev.ua. ' Institute of Fundamental Problems for High Technology, Ukrainian Academy of Sciences Prospect Nauki 45, Kiev 03028 Ukraine; e-mail: [email protected]

    Optical properties of plasma-liquid system with discharge in the gas canal with liquid wall and secondary discharge were investigate. We used distillat and ethanol as experimental liquid and air as an initiating gas.The emission spectra of plasma discharge in such system were analized.The temperatures of population distribution exitated levels were evaluated. Also, we traced change of absorption coefficients in treated liquids.

    236 UA061645 D146p

    Transverse arc as the source of non-equilibrium plasma of atmospheric pressure

    V. Chernyak1, V. Naumov2,1. Prysiazhnevych1, T. Lisitchenko1, V. Yukhymenko1

    'Taras Shevchenko Kyiv National University, Radiophysics Faculty Prospect Glushkova 2/5, Kyiv 03122, Ukraine, e-mail: [email protected], [email protected] ^Institute of Fundamental Problems for High Technology, Ukrainian Academy of Sciences Prospect Nauki 45, Kyiv 03028 Ukraine, e-mail: [email protected]

    Atmospheric pressure gas discharge plasma sources are of great interest in many labs because of various important applications. One of the most interesting types is a transverse arc in a blowing jet. It is an intermediate case of the high-voltage low-current self-sustained discharge with a self-adjustable arc supported by the plasma flow. It differs from the non-stationary gliding arc of Czemichowski type by the fixed arc length and has also a convective cooling of the plasma column but without conductive heat losses at walls since it is a free arc. We applied different schemes of the blowing arc in our lab, carrying out plasma processing of various homo- and heterophase gas and liquid substances. We found that intensive transverse ventilation of the arc plasma increases its non-equilibrium and non-izothermality. The main point is a mechanism of the transition from quasi-equilibrium arc to non-equilibrium, i.e. from thermal to non-thermarionization. For diagnostics we applied the optical emission spectroscopy. A gas (atmospheric air) from the nozzle ran across coaxial electrodes and formed a bright crescent-shaped arc and a highly reactive afterglow. Measurements were conducted in different sections downstream. Within available spectrum of wavelengths (200- 1100 nm) all remarkable emissions of exited atoms (O, N, H, Ar) and molecules (Ni, O2, NO, OH, etc) were recognized, and the changes of selected emissions' intensity along the jet were analyzed depending on the flow rate and discharge power. Characteristic temperatures of electronic (Te*), vibrational (7>*) and rotational (TR*) states were determined on the base of relative intensities assuming quasi-Boltzmann distributions, and hierarchic relationship TR * keeps longer. Te* for Cu atoms (product of emission of electrodes) is slightly higher than for free Ar atoms. Then increasing the arc current, Te* becomes larger. At a lager flow rate, the gradient Te becomes smaller. It is remarkable that despite of high pressure, the air plasma in the blowing arc remains ionization non-equilibrium with the overheated electron component. The factors effecting on plasma non-equilibrium are not only electric parameters of the arc but also gas dynamics and convective heat/mass transfer in the plasma jet. In the blowing arc we have the same transitional regime as in the gliding arc when it is supported both by the thermal ionization (function of gas temperature) and by the direct electron impact (function of electric field). Due to suppression of ionization-overheating instability at highly turbulized flow, the plasma space and its interaction with the environment is increased significantly. Taking into account high plasma density, high electron temperature, easy control of discharge potential and possibility of stimulation of selective plasma-chemical transformations at atmospheric pressure, we conclude that this type of nonequilibrium arc discharge is very attractive for many technological applications. 237 UA061646 D149p

    The Role of Plasma Spray Techniques on the Development of Solid Oxide Fuel Cells Tbmasi A.

    ITC-Irst, Institute for Scientific and Technological Research via Sommarive 18,38100 Trento,Italy [email protected]

    Plasma Spray processes allow the production of very thin Solid Oxide Fuel Cells (SOFC) that are an emerging technology in hydrogen-based energy production. There is a significant influence due to the fabrication technology mainly on the microstructure at the electrode-electrolyte interfaces, and the performance of cells can only be improved by the application of high performance materials developed using appropriate technologies. This paper describes the physical characterisation and electrochemical behaviour of planar anode supported SOFC with electrolyte produced by different techniques. The experimental results show as the application of Vacuum Plasma Spray to planar SOFC production has realized higher performance and good long-term behaviour in the temperature range 750 — 900° C.

    238 UA061647 D150p

    EVOLUTION OF THE MODULATED ELECTRON BEAM IN SUPERCRITICAL PLASMA: SIMULATION OF INITIAL-BOUNDARY PROBLEM

    Kiyanchuk M.J., Anisimov I.O.

    Tar as Shevchenko National University o/Kyiv, Radio Physics Faculty, 64 Volodymyrs'ka St., 01033, Kyiv, Ukraine, [email protected]

    The problem of the modulated electron beam evolution in plasma is of interest in various branches of plasma electronics such as electron beams' using as emitters of the electromagnetic waves in ionosphere, transillumination of the plasma barriers for electromagnetic waves using electron beams etc. Study of the polarization beam-plasma instability at single frequency demonstrated its saturation due to the beam electrons' trapping by the potential electric wave. But for non-resonant instability these results can be changed strongly due to the concurrence with the resonant mode (i.e., the mode in synchronism with the beam). If the initial modulation depth is not too large the beam electrons can be trapped by the resonant mode, and further increase of the non-resonant mode will be suppressed. Simulation in previous works [1] was carried out for the initial problem. But real experiments [2] correspond to the initial-boundary problem. Evolution of the modulated electron beam moving through plasma was studied via computer simulation using PIC method. Plasma layer is located between two conductive electrodes. Simulation parameters correspond approximately to the conditions of experiment [2]. Space-time distributions of absolute value of ion and electron densities as well as electron beam density and field strength were obtained and Fourier transformations of these magnitudes were calculated (Fig. 1). Results obtained confirm qualitatively the previous outcomes [1]. It was shown that the resonant instability development at the frequency of the wave-particle synchronism suppresses oscillations at the signal frequency. In contrast to [1] it is obtained that the resonance * • instability occurs in the broad frequency band. 'i«« , \ • Dependence of the peak amplitude of the signal on it H • initial value was found increasing nonlinear function with saturation. Dependence of the maximization time of the signal also was obtained. These outcomes validate that the tr {$ beam electrons arc trapped by the resonant mode before the beam-plasma instability at the signal frequency j- achieves the non-linear regime.

    m- References :*hr 1. I.O.Anisimov, S.V.Dovbakh, S.M.Levitsky, G.V.Lizunov, H.V.Podladchikova. Kyiv University r^ Bulletin. Radiophisics and Electronics, 2000, #2, pp. 10- 17. (In Ukrainian). 2. I.O.Anisimov, N.O.Boiko, S.V.Dovbakh, D.B.Palets, L.I.Romanyuk. Ukrainian Journal of Physics, 2000, f.GHz vol.45, #11, pp.1318-1323. (In Ukrainian).

    Fig. 1 The Fourier transform of the beam electrons density.

    239 UA061648 D151p

    Finite Mass Effect on Ion Acceleration In Plasma Expansion into Vacuum

    *M. MURAKAMI1, M. TANAKA2, and M. M. BASKO3

    'institute of Laser Engineering, Osaka University, 565-0871 Osaka, Japan 2 National Institute for Fusion Science, Toki 509-5292, Japan 3 Institute for Theoretical and Experimental Physics, Moscow, Russia 'e-mail address: [email protected]

    We present a rigorous self-similar solution to the system of two-fluid equations which describe free expansion of a finite plasma mass [1,2]. It is the first analytical solution, which treats the effect of charge separation in a fully consistent way and allows a self-consistent determination of the position of the ion front and of the maximum energy of accelerated ions. The analysis of this solution leads to a conclusion that, beside the temperature of the heated electrons, the value of the maximum ion energy is controlled by the plasma size expressed in terms of the Debye length. To the best of our knowledge, this fact has not been recognized in the previous publications on the subject. It is argued that, when properly formulated, the present results for the ion acceleration can be applied more generally than the self-similar solution itself. Generalization to a two-temperature electron system reveals the conditions under which the high-energy tail of accelerated ions is determined solely by the hot electron population. Numerical results by means of PIC code are also presented.

    Fig. 1 Self-similar profiles for ion and elec- Fig.2 Comparison between the theory & tron densities and the field quantities. experiments on ion energy spectrum

    References 1. M.Murakami ct al, Phys. Plasmas 12,062706 (2005). 2. M. Murakami and M. M. Basko, Phys. Plasmas 13,012105 (2006).

    24© UA061649 D152p

    Influence of a high-voltage power pulse duration on the ozone synthesis efficiency in the system of needle-to-plane electrodes

    V. Golota, L. Zavada, V. Karas', O. Kotiyukov, A. Polyakov, S. Pugach

    National Science Center "Kharkov Institute of Physics and Technology " AkademicheskayaSt. 1, Kharkov 61108, Ukraine E-mail :[email protected], ua

    Keywords: needle-to-plane gas discharge, ozone PACS: 52.80.Hc

    The present paper gives the results of studies on the discharge and synthesis of ozone in the plasma-chemical reactor with needle-to-plane electrodes using the high-voltage pulse power supply. The reactor construction comprises a tubular cathode and a coaxial anode composed of 800 needle electrodes. The gap between the cathode and tops of needle electrodes of the anode is 6 mm. The discharge zone length is 320 mm. The pulse power supply for the plasma-chemical reactor was provided from the HV source by means of the high-voltage pulse switch HTS-300 (BEHLKE) (the time of pulse rise is of the order of 10 ns, the maximum voltage is 30 kV). The reactor was pumped through with enriched oxygen from the oxygen generator AS-12 (AirSep) at the rate of 0.7 1/min and 5 I/min. The following three modes of the plasma-chemical reactor operation were studied: long high-voltage pulses (the half-height duration of 10 us) with the sharp leading edge - the "long" mode; short high-voltage pulses (the half-height duration of 300 ns) - "short" mode; direct-current voltage - "DC" mode. The "DC" mode of reactor power supply was used to compare the measurement results. Analysis of obtained current- and voltage oscillograms has shown that in the case of the "short" mode almost all the power is put into the discharge during the current pulse passage, whereas for long high-voltage pulses the power put into the charge can be divided into two parts: Wlong = W pulse part + W DC part W pulse part is, in fact, the pulse power corresponding to the pulse part of the discharge current; W DC part is the power corresponding to the constant component of the current flowing after the pulsed part of the discharge current has been passed, when a slowly decreasing voltage is remaining on the discharge interval. During a rather long period of time (nearly 10 us), this voltage is higher than the firing voltage for the given reactor, i.e. during this interval of time the conditions for the discharge burning analogous to the "DC" mode are fulfilled. For the three modes of reactor operation we have also measured the ozone synthesis efficiency. It is shown that in the investigated range of enriched oxygen consumption at a pulse-repetition frequency from 100 Hz to 10 kHz in the case of the "short" mode the energy expenditures for the oxygen synthesis do not almost depend on the pulse-repetition frequency and make 5-8 Wt*hour/g03. In the "long" mode the energy expenditures for the oxygen synthesis are slightly higher than in the "short" mode, and significantly lower than in the "DC" mode. Taking into consideration that in the "long" regime the full power put into the discharge can be represented as W puij

    Experimental analysis of a double spark gnition system

    B.Hnatiuc(1), S.Pellerin(2), E.Hnatiuc(l) and J.Chapelle(2)

    (" Univ. Techn. "Gh.Asachi", Catedra de Bazek Electrotehnici, Bd.D.Mangeron nr. 51 - 6600 lasi, Roumanie a' LASEP - Centre Universitaire de Bourges, Rue G.Berger - BP 4043 -18028 Bourges cedex 2, France

    The spark that ignites the combustible mix in an automobile engine, is a glow discharge produced between the electrodes of a candle, connected to the secondary of a coil to high voltage. The ignition and the combustion in the best conditions suppose to have a frank spark, in a volume as large is possible and with a maximum of energy. In this paper, we propose a solution to increase the plasma volume, and present electrical discharge parameters as function of inter-electrode distances, pressures in the test-reactor and the electrical pulses width of the power supply. The experimental device uses a third auxiliary electrode not connected to the power supply, placed between the main high voltage electrode and the ground electrode of a typical spark plug supplied by a pulsed high voltage power supply through the medium of a coil. This double spark system seems well adapted for the ignition of combustible mixtures and it could assure a better combustion by its two simultaneously discharges, therefore a bigger plasma volume for ignition. The total distance between the electrodes has been increased from 0.7 mm to about 2 mm. Furthermore, the duration of the two discharges is much lower than the electrical pulse widths ij- this phenomena allows to generate under intermediary pressures successiv ignitions in each electrodes gap. The experiments already done proved good results in real conditions with a BRIGGS & STRATON engine for upper breakdown pressure (breakdown at 7 - 8 arm pressure). Therefore, we have used a controller unit, based on AT89C2051 microcontroller, to ensure synchronisation of the ignition with the maximum pressure into the cylinder obtained during the compression time. In these conditions, we have verified that the purposed double sparks system provides bigger energy than with the classic system.

    Average number of sparks for one pulse function of the pressure/? in the reactor (di~d2~1.5 mm)

    [ 0,Q td~3.0ms; %,*• xd=4.0ms; "fc.fil rd-4.5ms; p,it xd-6ms]

    Acknowledgment This research work has been developed in the frame of an Integrated Actions Programme (PAI Brancusi no. 7/2003 - 2004) and has been supported by the Francophone Universitary Agency (Post-Doc bourse accorded by A.U.F.). 242 UA061651 D167p

    Electrons Stochastic Heating in Capacitive RF Discharges by Plasma Oscillations

    O.V. Manuilenko*, Ye.M. Minaeva, V.I. Golota and V.A. Buts

    NSC "Kharkov Institute of Physics and Technology",!, Akademicheskaya St., Kharkov, 61108 Ukraine *e-mail:ovm@kipt. kharkov. ua Keywords: capacitively coupled discharge, Ohmic heating, stochastic heating, plasma oscillations, Particle-in-Cel! Monte Carlo simulations. PACS: 52.50.Gj, 52.35.Qz

    Experiments [13 and Particle-in-Cell Monte Carlo (PIC-MCC) simulations [2-5] show that electron energy distribution function (EEDF) in an argon RF capacitivcly coupled discharge (CCD) has a large number of low-energy electrons. The measurements [1 ] have done in the discharge driven at frequency f=13.56 MHz in argon at pressure 0.1 Torr (for high frequencies and lower pressures see, for example, [3-5]). It was found that the EEDF can be represented as a sum of two Maxwellian = distributions with two electron temperatures Tiow=0.3 eV and Thigh 3.1 cV, and plasma densities Niow=1.3*1010 cm"3 and Nugh= 1.3* 10s* cm'3. The low-energy election group, with its temperature close to the energy of the Ramsauer minimum, has an extremely low electron-neutral (e-n) collision cross section corresponding to a low e-n collision frequency. These electrons oscillates collisionlessly in the weak bulk RF field, and unable to gain energy either from the RF field due to Ohmic heating or from the oscillating RF sheath due to stochastic heating. High-energy electrons effectively interact with argon atoms in elastic, excitation and ionization collisions and serve as the source of the low-energy electrons for the most part due to ionization. These electrons compensate energy losses mainly through stochastic heating on the oscillating plasma-sheath boundaries. In order to increase plasma density in CCDs one needs to increase the high-energy electrons population. This can be done by stochastic heating of low-energy electrons in the bulk plasma by plasma oscillations which are excited by cold weak electron beam. It is necessary to emphasize, that the stochastic heating in the bulk plasma is usually more effective than the stochastic heating due to interaction with oscillating boundaries [6,7]. Stochastic heating of electrons by plasma oscillations excited in the CCD plasma is investigated theoretically and numerically. We have obtained criterion, when the stochastic heating take place. PIC-MCC simulation shows that this heating mechanism can be sufficiently effective in order to increase plasma density and to control EEDF in CCDs. REFERENCES

    1. V.A. Godyak and R. V. Piejak, Phys. Rev. Letters 65,996-999 (1990). 2. V. Vahedi, G. DiPeso, C. K. Birdsall, M. A. Lieberman, T. D. Rognlien, Plasma Sources Sci. and Technology 2, 261-278 (1993). 3. J. K. Lee, N. Y. Babaeva, O. V. Manuilenko, H. C. Kim, J. W. Shon, IEEE Trans. Plasma Sci. 32,47- 53 (2004). 4. J. K. Lee, O. V. Manuilenko, N. Y. Babaeva, H. C. Kim, J. W. Shon, Plasma Sources Sci. and Technology 14, 89-97 (2005). 5. H. C. Kim, O. V. Manuilenko, J. K. Lee, Jap. J. Appl. Phys. 44,1957-1958 (2005). 6. A. N. Antonov, V. A. Buts, O. F. Kovpik, E. A. Komilov, 0. V. Manuilenko, V. G. Svichcnski, K. N. Stepanov, Yu. A. Turkin,y£r/'le«., 69, 851-857 (1999). 7. V. A. Buts, O. V. Manuilenko, Yu. A. Turkin, Plasma Phys. Rep., 25,737-745 (1999).

    243 UA061652 D168p

    High-plasma-density helicon source for ion beam application.

    S. Mordyk, V. Miroshnichenko, A. Nagornyy, D. Nagornyy, D. Shulha, V. Storizhko and V. Voznyy

    Institute of Applied Physics, National Academy of Sciences of Ukraine, Sumy, Ukraine

    We are testing a high-plasma-density Helicon Source for ion beam application. To operate the helicon RF source with hydrogen/helium/argon plasma a compact magnetic system with circular permanent magnets was designed and constructed. The source has been diagnosed by a microwave interferometer. Measured plasma densities of up to 0.9*1013cm"3 (for argon), 2.5*10I2cm'3 (for helium), and 6*10 'cm'3 (for hydrogen) were obtained for working gas pressure < 10 mTorr and RF power < 300 W (fRF=27.I2 MHz).

    244 UA061653

    D169p

    STUDY OF THE PLASMA EMISSION LINES OF DIFFERENT GASES IN AIR Reyes P.

    Universidad Autonoma del Estado de Mexico Institute Literario 100 Col. Centro Tohica, Estado de Mexico C.P. 50000 [email protected]

    We present in detail the characterization of a plasma which is produced by AC luminiscence discharge in air. Using a monochromator, in the wavelength interval from 200 nm to 800 nm and a sweeping with step of 0.001 nm, we identify the structure of the plasma emission spectrum within a pression range of 2.0—6.6 x 10 - 2 Torr. The emission spectrum is strongly linked to the kind of gases present in air and to the pressure at which is located. The distance between electrodes is maintained fixed and the voltage and current are supplied for a 6000 AC source and measured by conventional techniques. This work was supported by PROMEP FE018/2003.

    245 UA061654 D170p

    Influence of electronegative admixtures on atmospheric pressure discharge in N2/02 mixture

    V. Golota, L. Zavada, B. Kadolin, V. Karas', E. Minaeva, I. Paschenko, S. Pugach and A. Yakovlev

    National Science Center "Kharkov Institute of Physics and Technology" Akademicheskaya St. 1, Kharkov 61108, Ukraine E-mail: pugach@kipt. kharkov. ua

    Keywords: glow, corona, needle-to-plane gas discharge, ozone PACS: 52.80.Hc

    Atmospheric-pressure gas discharge with a strongly nonuniform electrical field can be characterized by either stationary or non-stationary mode of discharge current. This kind of discharge behavior is due to accumulation of volume charge in the discharge gap that is determined by density, mobility and rate of generation processes for electrons, positive and negative ions. Negative ion generation in the discharge gap leads to changes in the electrical characteristics of discharge, and is dependent on pressure, temperature, the amplitude and polarity of applied voltage, and the composition of electronegative components in gas mixtures. The paper presents the experimental results on the influence of electronegative gas components on the electrical characteristics of needle-to-plane gas discharge at atmospheric pressure in N2-O2 gas mixtures. Three modes of discharge burning were studied: 1. the negative polarity (NP): non-stationary (Trichel's pulse) and stationary modes; 2. the stationary mode of discharge current flow at the positive polarity (SPP) 3. the non-stationary mode of discharge current flow at positive polarity (NSPP). The analysts of experimental data and physical processes responsible for discharge current passage at various modes of discharge burning has shown the following: • In the NP mode, a substantial change in the electrical characteristics of the discharge with an increasing concentration of electronegative admixtures was observed. This was due to variation in the discharge gap conductivity because of electron attachment occurring during motion from the ionization region near the needle to the external region, where the processes of attachment prevail. • In the SPP mode, at similar changes in the gas composition, the electrical characteristics of the discharge remained practically the same, since the processes of electron production-degradation were localized in the narrow ionization region near the needle electrode. • In the NSPP mode, the electrical characteristics of the discharge substantially vary with a growing concentration of electronegative admixtures, this being due to electron attachment in the streamer channel, where the electric field strength is typical of the processes of attachment.

    This work was supported by Science and Technology Center in Ukraine (Project Ns Uz055k).

    246 UA061655 D171p

    Effect of Beam Pre-bunching on Gain and Efficiency in Cerenkov Free Electron Laser

    Suresh C. Sharma and Anuradha Bhasin*

    Department of Applied Physics, Guru Premsukk Memorial College of Engineering, 245 Budhpur, G.T. Karnal Road, Delhi-}100036, India Department of Electronics and communications, Guru Premsukh Memorial College of Engineering, 245 Budhpur, G.T. Karnal Road, Delhi-1100036, India

    Beam pre-bunching on cerenkov free electron laser (CFEL) offers considerable enhancement in gain and efficiency when the phase of the pre-bunching beam is -Till, i.e., when the pre-bunched beam is in the retarding zone. The growth rate and efficiency were evaluated based on experimentally known parameters relevant to cerenkov free electron laser. We have found that the growth rate and efficiency of the CFEL increase with the modulation index and reaches maximum when the modulation index approaching one in addition to the frequency and wave number of the pre-bunched beam are comparable to that of the radiation wave, i.e., when the pre-bunched beam velocity is comparable to the phase velocity of the radiation wave. The growth rate of the CFEL instability scales as one third power of the beam current and minus one third power of the effective permittivity. Moreover, the phase velocity of the radiation wave scales as minus one half power of the effective permittivity.

    247 UA061656 D172p

    Gas Dishcharge Sustained By Surface Wave Propagating Along The Hybrid System N.A. Azarenkov, A.V. Gapon

    Karazin Kharkiv National University, 31 Kurchatov Ave., Kharkov 61108, Ukraine Keywords: surface wave, gas discharge, plasma technology

    Study of long-length gas discharges sustained by surface waves of 10 MHz-10 GHz frequency range continues from the middle of 80-th. Interest to this subject is based on the set of applications such as efficient plasma sources, ion and excited atoms sources and sources of optical radiation for the purposes of spectral analysis. Plasma column sustained by surface wave in the cylindrical dielectric tube is a classical example of this type discharges [1 ]. The plasma stability and density gradient along the column are determined by dispersion characteristics of the surface wave. In one's turn wave propagation conditions are entirely determined by the state of the plasma. So, the discharge sustained by azunuthally nonsymmetrical waves exists when the product of generator frequency and tube radius is more than constant value, which equals approximately to 2 GHz cm [2]. It was shown [2] this limit appears due to the inevitable generator frequency fluctuations. In [3] the condition for the sustaining wave dispersion is derived on the base of energy conservation law. One of the typical characteristics of the surface wave discharge in the long dielectric tube is plasma density profile linearly decreased out of the wave launcher. Such inhomogeneity may be not desirable feature in plasma technological processes of material etching and deposition. Some solutions for to get more homogeneous density profiles were proposed in early works, for example, applying tapered tubes or setting up two launchers on the opposite tube ends one toward another. In our report it is shown that such problem appears due to mixing of two things: plasma column is the main component of waveguide structure and simultaneously is the electromagnetic power absorber. We present theoretically calculated structure consisted of dielectric plate, separating working gas and open waveguide. Coupling between open waveguide and plasma can be readily controlled by changing of waveguide parameters along the wave propagation direction. Then, two aims are achieved: wave is an eigenmode of the structure and power absorption is made to be uniform along the structure.

    REFERENCES 1. Z. Zakrzewski al all. Plasma Phys. 19,77 (1977) 2. J.Margot-Chaker at all. JAppLPhys. 66,4134 (1989) 3. Z. Zakrzewski at all. J.Phys.D 16,17 (1983)

    248 UA061657 D174p

    Exact Solution Of Wave Equations In Plasma Resonant Point Vicinity N.A. Azarenkov, A.V. Gapon

    Karazin Kharkiv National University, 31 Kurchatov Ave., Kharkov 61108, Ukraine Keywords: plasma resonance, linear wave transformation, resonant absorption

    Study of properties of the HF gas discharges in long dielectric tubes is performed during many years. Corresponding methods are well developed and are adequate to experimental data [l]-[5]. In most cases plasma density in these models is supposed to be homogeneous in radial direction for simplify electromagnetic field calculation. If it is necessary, resonant absorption is introduced "manually" [5] in accordance with [6]. The fact, that only wavelengths which are significantly more larger then tube diameter are used for such discharges sustaining makes this approach valid, because of good coinciding of the dispersion laws of the homogeneous density profiles and smoothly varied ones in long-wave interval. The problem has an interest in connection with the phenomena of electromagnetic waves linear transformation and resonant energy absorption. It is actual in the problems of microwave energy input in plasma, in particularly, for designing plasma sources on the base of surface waves gas discharges. Electromagnetic waves transformation was theoretically discovered in [6, 7] and studied in [8]-[10]. In [11, 12] influence of the transformation on wave propagated along weak inhomogeneous plasma cylinder dispersion was considered. In the report we present exact general solution of Maxweliian equations for monochromatic electromagnetic wave in the one-dimensional plasma layer with resonant point The solution was obtained as expansion in the resonant point vicinity with the help of theory expounded in [13]. It is assumed that plasma density profile can be expanded in series of positive powers of spatial variable. The obtained solution was applied to find resonantly absorbed power in flat plasma layer and plasma cylinder. In last case azimuthally symmetrical and asymmetrical waves was considered.

    REFERENCES

    1. V.M.M.Glaude, M. Moisan, R.Pantel, PXeprince, J.Marcc. JApplPhys. 51,5693 (1980) 2. I.Zhelyazkov, E.Benova, V.Atanassov. JAP. 62,2713 (1987) 3. J.Margot-Chaker at all. JApplPhys. 66,4134 (1989) 4. A.B.Sa at all. JAP. 70,4147 (1991) 5. Yu.M.Aliev, A.V.Maximov, H.Schluter, A.Shivarova. J.PlPkys 52,321 (1994) 6. K.N.Stepanov. Sov.J.Tech.Phys. 25,1002 (1965) 7. Yu.AJRomanov. SovJ.Tech.Phys. 47,2119-2133(1964) 8. A.N.Kondratenko Sov.Nucl.Fusion 5,267-274 (1965) 9. V.V.Demohenko, V.V.Dolgopolov, K.N.Stepanov. Sov. Izv.Vuzov.Radiophys. 12,1317-1324 (1969) 10. V.V.Dolgopolov, AMm.Omelchenk.oSovJ.Exp.and TKPhys 58,1384-1389, (1970) 11. V.V.Vorobyov, AXKondratenko, V.M.Kuklin Sov.J.Tech.Phys. 52,2116-2118 (1982) 12. Yu.M.Aliev, A.G.Boev, A.P.Shivarova. Phys.Lett. 92,235 (1982) 13. ER.Gartunaher Matrix Theory, "Nauka", Moscow, 1967, pp.419 - 465.

    249 UA061658 D176p

    Ion Free Fall Gas Discharge Regime Modeling By Schrodinger Equation N.A. Azarenkov, A.V. Gapon

    Karazin Kharkiv National University, 31 Kurchatov Ave,, Kharkov 61108, Ukraine Keywords: gas discharge, free-fall regime, opticsOmechanics analogy , 2D Langrauir model

    Modeling of low pressure gas discharges is helpful for plasma technology purposes. Whereas diffusion regime modeling has not encounter serious obstacles, free-fall regime is more difficult for calculation. One of the difficulties is ion component movement in fixedambipola r potential calculation. Because of ion movement is going under potential force it can be considered with the help of Hamilton-Jacoby equation, which is identical with eikonal equation due to optics-mechanics analogy. But for the reason of complexity of eikonal equation treatment the SchrSdinger equation is used, because of as says H. Goldstein in [1], Hamilton- Jacoby equation is short-wave Schrodinger equation assimptotic. Numerical algorithm consists of subsequently doing two steps by turns: calculation of electron density and ambipo­ lar potential for given ion density and calculation of ion density for given ambipolar potential. Electron density and ambipolar potential are found from Poisson equation solved with the assumption of Boltzmann electron distribution in the potential. Ion density is found from 2D generalization of well known Langmuir model of particle transport in collisionless discharge regime. To obtain ion density in certain point one should to summarize contributions of all remote sources of ions, ion trajectories from which pass through this point. Instead trajectories finding, we consider each surface of equal potential as one radiated De Broglie wave in the potential descending direction. Strength of ion sources along the surface is determined by ionization intensity. Ion density should be obtained as summa of partial waves amplitudes squares to avoid interferention effects. In fact, we set Plank constant big enough to avoid calculation difficulties. This leads to great deviation from ray optic limit in the vicinity of an ion point of birth, where particle moment is small and it's De Broglie wavelength tends to infinity. Nevertheless, ion density calculated in such way seems to be not differing substantially from one found from Newton dynamic equations integration.

    REFERENCES

    1. Goldstein H. Classical Mechanics, Addison-Wesley, Reading, MA 1980,672 p.

    250 UA061659 D177p

    Peculiarities of the gas temperature profiles in the dc atmospheric pressure glow discharge

    V.I. Arkhipenko, A.A. Kirillov, L.V. Simonchik, S.M. Zgirouski

    Institute of Molecular and Atomic Physics NASB, pr. Nezalezhnastsi 70. 220072 Minsk, Belarus

    Gas temperature is one of the main characteristics of the gas discharges, since it determines gas density and, as consequence, other discharge parameters. In [1] were determined the main parameters of cathode fall, namely, the electric field profile, the cathode fall thickness, the current density and the heat flux to the cathode. The gas tempera­ ture in mentioned work was measured only in negative glow. The aim of present investigation is a receiving of the temperature profile in all regions of the self-sustained normal atmospheric pressure glow discharge (APGD) in he­ lium. The self-sustained normal dc APGD in helium was created in the pressurized chamber between two electrodes: the weakly rounded tungsten anode and planar copper cathode [1], The intensive water cooling of cathode was provided due to its special design. The interelectrode gap was varied from 2 up to 10 mm. A weak flow of helium through the discharge chamber (less than 1 litre/min) took place. The impurity concentrations in helium flow (H2, N2, 02, Ar, CQ2, CO, Ne, H20) did not exceed 0.02 %. The discharge was fed by a controlled dc power supply with an output voltage up to 600 V. Experiments were fulfilled at discharge current of 1 A. The optical emission spectra were obtained using a spectrometer including a scanning 0.5-meter double grating (1800 line per millimetre) monochromator of high resolution MDD500x2. The (0,1) Nj and (0,0) OH bands were used for gas temperature determination. The cathode fall is characterized by a small thickness (<100 Jim), a high electric field strength (50 kV/cm) and a discharge current density (2 A/cm2). And that's why the highest volumetric heat generation (-50 kW/cm3) takes place in this region. But the cooled cathode bordering with the cathode fall provides the effective heat rejection. Extremely small thickness of the cathode fall in comparison with its transverse dimension leads to the weak radial dependence of the gas temperature. Therefore the profiles of the cathode fall parameters are one-dimensional.

    The values of temperatures determined at the end of the cathode fall (>70 um) using both the (0,1) N2 and (0,0) OH bands are in reasonable agreement (625±25 K). However these temperatures are differing close to the cathode surface. The difference is about 100 K and is more then experimental error. High temperature value obtained using + + the N2 band, in our opinion, is explained by an acceleration of the N2 -ions in strong electric field close to the cath­ ode surface. The temperature profile was also calculated using the model of cathode fall developed by Baranov- Smirnov [2], Good correspondence of the calculated temperature to the measured one using the OH band is observed at distances from the cathode surface more then 20 j^m. The volumetric heat generation in the Faraday dark space and positive column is about ~4 kW/cm3. However the difficult heat rejection from these regions leads to the increase of gas temperature in the line of positive column. Maximal gas temperature is on the axes of positive column and anode region (>2000 K). The strong radial depend­ ence of the gas temperature takes place in these regions. It is evidence about the substantial heat rejection through ambient gas. It is necessary to notice that the radial intensity profiles of the N2 and OH bands are significantly dif­ ferent. The N2 band intensity is maximal on the discharge axes. At the same time, the OH band intensity is maximal on the distance a few millimeters from axes. Practically, it isn't observed any luminosity of the OH band in the centre of positive column. It can't be explained by the relatively high gas temperature in this region. Different mechanisms of the rotational level populating are discussed. REFERENCES 1. V.I. Arkhipenko, S.M .Zgirouski, A.A. Kirillov, L.V. Simonchik, Plasma Phys. Reports 28,930 (2002). 2. G.A. Baranov and S.A. Smimov, Zhurn.Techn. Fiz. 44, 1305 (1999).

    251 UA061660 D178p

    HEAT TRANFER ON SYSTEM THERMIONIC CATHODE - NEAR-ELECTRODES PLASMA

    B.D. Tsydypov

    Buryat Scientific Center of Siberian Department ofRAS Sakhyanovoy Sir., 8, Ulan-Ude, 670047, RUSSIA

    Cathode units of plasma generators with high-current thermionic cathodes operate under conditions of extremely intense heat fluxes and load currents. The thermal state of this unit and the erosion resistance of a cathode determine the operation characteristics and working life of the entire plasma system. The energy balance for a thermionic cathode can be expressed: QP + QJ -&-0.-&--O, where Qp and Qj are the volume heat sources representing the thermal action of the discharge plasma and the Joule's heat evolution, respectively; and Q/,, Qm and Qr are the heat fluxes carried away by means of the conductive, convective and radiative heat transfer, respectively. The contributions of various components to the energy balance can be evaluated by comparing the dimensionless criteria within the framework of quasi-one-dimensional model [1]. The results of computational - experimental study aimed at optimization of thermal conditions and life time of the pivot tungsten cathode are presented. From a practical standpoint, it is of interest to consider the optimum temperature regime corresponding to %=I. This criteria shows the relation between the volume heat sinks and the Joule's heat evolved and dissipated in the cathode. This situation corresponds to the regime, whereby the thermal action of the discharge plasma (including ion bombardment, conductive and radiative components) is fully compensated by the of energy carried away by electron emission, evaporated metal atoms, and radiative heat transfer. Thus, with taking into account experimental data, thermal conditions of working electrodes extending their service life have been calculated.

    Reference

    1. B.D. Tsydypov, Technical Physics Letters 31, 87-94 (2005).

    252 UA061661 D179p

    Monitoring And Control Of Operating Parameters Of Ac Plasma Generators As A Part Of Plasmochemical Installations

    Ph.G.Rutberg, AA.Safronov, A.V.Surov, S.D.Popov and V.E.Kuznetsov

    Institute for Electrophysics and Electric Power Russian Academy of Sciences (191186 St-Petersburg, Dvortsovaya emb. 18, Russia, Phone +7 (812) 315 1757, Fax+7 (812) 571 50 56, E-mail: [email protected])

    Use of electric arc AC plasma generators as a part of plasmochemical installations allows flexible regulation of the process modes. Complicated electrophysical processes take place in the discharge chamber of the plasma generator, which investigation is a separate scientific and technical problem. Usually, the plasma generator operation is investigated beforehand on specially fitted experimental test benches approximately providing operating conditions of devices as a part of the operating installation. Nevertheless, real conditions of the plasmochemical processes differ from modeled ones and have an individual effect on such engineering parameters, as a resource of a continuous work of the plasma generator without electrode replacement. Observation and estimation of optimality of the plasma generator operating mode, defining reliability of the installation as a whole, is complicated with the impossibility to provide the visual observation of the processes taking part in its discharge chamber. Carried out researches have allowed to reveal for the AC plasma torches the dependences of variation of electric parameters from variation of the operation modes of the plasma equipment. It has allowed to provide their effective operation as a part of the technological installation at the possibility of regulating over a wide range of output parameters of the plasma generators.

    253 UA061662 ITEll

    Dynamic and Static Structures in Dusty Plasmas

    Sergey V. Vladimirov

    School of Physics, The University of Sydney, NSW 2006, Australia

    Dusty plasmas, i.e. plasmas containing solid "dust" particles, demonstrate unique properties. These properties allow us to consider a dusty plasma as an unusual strongly dissipative state of matter which is the mostly capable to self- organization and structure formation. The main physics of the dust structure self-organization can be summarized as follows:

    The dust-plasma system is an open system; because of the floating charges on dust particles and their dependence on the local plasma environment it is a non-Hamiltonian system. Because of the openness of the system, the concept of free energy is generally not applicable to a dusty plasma. Moreover, dust particles with the same large charges can create strongly couples pairs. The physics of the processes is based on collective particle-particle and particle-plasma interac­ tions in the presence of plasma flows because of the open and non-equilibrium character of the system. Strong interac­ tions of dust particles and the openness of the system lead to self-organization and 'structurization' of initially homoge­ neous dust clouds into a complex aggregate of dissipative dust structures and dust voids, with sharp boxmdaries between them. These structures become quasi-stationary within short time scales and they are determined by a Limited number of parameters controlling the structure. The quasi-stationary structures can be studied numerically and the limited ranges of the variations of the controlling parameters allow us to scan distributions of plasma and dust characteristics within them.

    Theory shows that a dust void generally results from the balance of the electrostatic and the plasma (such as the ion drag) forces acting on a dust particle. Here, I present the stability theory of a dust void and show that sequences of sta­ ble and unstable void sizes can exist. The dynamics of dust in a plasma follows these stability characteristics leading to various stable and/or unstable dust void structures. A distinctive feature of the void is a sharp boundary between the dust and dust-free regions; this is manifested especially clear when dissipation in the plasma is small and discontinuity of the dust number density appears. The sharp boundary between the dust and void regions exists also in the presence of the ion diffusion on plasma neutral atoms; however, only derivatives of the dust density, dust charge, electron density and electric field are discontinuous at the void boundaries, while the functions themselves as well as derivatives of the ion drift velocity and the ion density are continuous. Numerical calculations demonstrate various sorts of diffusive dust void structures as well as the possibility of singularities in the balance equations caused by the diffusion process inside the dust structures. These singularities can be responsible for a new type of shock-like structures while other structures are typically self-organized to eliminate the singularities.

    The electrostatic force acting on dust particles is non-potential even in a potential electric field, and therefore a dusty plasma can create and support convective vortex structures. The convection of dust particles in a plasma is related to the spatial gradients of dust charge distributions existing due to different plasma conditions in different parts of the dusty structure. For many experiments, the convection appears as a result of convective perturbations of basic nonlinear self- organized states of the dust structures. Here, I discuss the set of nonlinear equations derived to study of the basic sta­ tionary dust cylindrical structures as well as their convective perturbations. There is the broad range of plasma and dust parameters where solutions of this set in the form of the self-organized static states exist. Perturbations of the cylindrical self-consistent dust structure states due to the dust convective motions are then treated linearly on the background of the basic nonlinear inhomogeneous distributions. For different basic states and different boundary conditions various types of vortex structures can be created.

    References [1] S.V. Vladimirov, K. Ostirkov, and A.A Samarian, Physics and Applications of Complex Plasmas, Imperial College Press, 2005. [2] S.V. Vladimirov, V.N. Tsytovich, and G.E. Morfill, Phys. Plasmas, 12, 052117 (2005). [3] V.N. Tsytovich, S.V. Vladimirov, O.S. Vaulina, et al., Phys. Plasmas, 13 (2006). 254 UA061663 ITE12

    Recent Results in the Study of Complex Plasmas

    G. MorfiH and V. Yaroshenko

    Max- Planck InstituljUr extralerrestrische Physik Postfach 1312 85741 Garching Germany

    In this topical review we will confine ourselves to five supjects of current interest:

    • Critical Point phenomena at the kinetic level

    • Dipole instability and phase transition

    • Kinetics of crystal growth, new discoveries from complex plasmas

    • Coalescence at the kinetic level

    • The „classical tunnelling effect" - or „how to walk through a wall"

    The talk will start with a brief introduction to complex plasmas (a new state of soft matter) and will end with an outlook into new research and technology fields.

    255 UA061664 ITE13

    Collective Dust Plasma Interactions

    Padma Kant Shukia

    Institut fur Theoretische Physik IV: Weltraum-und Astrophysik, Fakultat fur Physik und Astronomie, Ruhr-Universitat Bochum, D-44780 Bochum, Germany; E-rnail:[email protected] ABSTRACT

    Two omnipresent ingredients of the Universe are plasmas and charged dust. The interplay between these two has opened up a new and fascinating research area, that of dusty plasmas, which are ubiquitous in in different parts of our , namely planetary rings, circumsolar dust rings, interplanetary medium, cometary comae and tails, interstellar molecular clouds, etc. Dusty plasmas also occur in noctilucent clouds in the arctic troposphere and mesosphere, cloud-to-ground light­ ening in thunderstorms containing smoke-contaminated air over the US, in the flame of humble candle, as well as in microelectronics, in low-temperature laboratory dis­ charges, and in tokamak edges. Since a multicomponent dusty plasma system involve the charging and the dynamics of micron and nanosized charged dust grains, it can be characterized as a complex plasma system with new physics insights. In this talk, I shall describe the basic physics of dusty plasmas and present the status of numerous collective dust plasma interactions that are relevant to space research and labora­ tory experiments. The focus will be on theoretical and experimental observations of novel waves and instabilities and some important nonlinear structures (such as dust ion-acoustic shocks, dust voids, dust vortices). The latter are typical in astro- physical settings and in laboratory experiments. It appears that collective processes in a complex dusty plasma would have excellent future perspectives in the twenty first century, because they have not only potential applications in near Earth and interplanetary space environments, or in understanding the large scale structures in our universe, but also in advancing our scientific knowledge in multi-disciplinary areas of science and technology.

    256 UA061665 ITE14

    Intense Shock Waves and Strongly Compressed Plasmas

    Vladimir E.Fortov

    Institute for High Energy Densities, Russian Academy of Sciences, Izhorskaya 13/19, Moscow, Russia

    Condensed plasmas under extremely high pressure and temperature are the most abundant state of matter: 95% of the visible matter in the Universe exists in the strongly coupled plasma state. The physical properties of such plasmas are of great interest for astro- and planetary physics, inertial confinement fusion, energetics, pulsed technologies and many other applications. The report presents the recent results of experimental investigations of equations of state, compositions, thermodynamical and transport properties, electrical conductivity and opacity of strongly coupled plasmas generated by intense shock and rarefaction waves. The experimental methods for generation of high energy densities in matter, drivers for shock waves and fast diagnostic tools are discussed. Application of intense shock waves to solid and porous targets allows us to degenerate Fermi­ like plasmas with maximum pressure up to 4 Gbar and temperatures ~107 K. Compression of plasma by a series of reverberating shock waves allows us to decrease irreversible heating effects. As a result such a multiple compression process becomes close to the isentropic one, which permits us to reach much higher densities and lower temperatures compared to the single shock compression. On the other hand, to increase the irreversibility effects and to generate high temperature plasma states the experiments on shock compression of porous samples (fine metal powder, aerogels) were performed The shock compression of saturated metal vapors and previously compressed noble gases by incident and reflected shocks allows us to reach nonideal plasmas on the Hugoniot. The adiabatic expansion of matter initially compressed by intense shocks up to megabars gives us the chance to investigate the intermediate region between the solid and vapor phase of nonideal plasmas, including the metal-insulator transition phase and the high temperature saturation curve with critical points of metals. Parameters of metal critical points are analyzed and compared with theoretical predictions. The shock-wave-induced non-equilibrium phenomena at fast melting and adiabatic condensation are analyzed in the framework of the interspinodal decomposition model. The theoretical interpretation of opacity measurements demonstrates strong deformation of discrete spectrum in coupled materials. The "pressure ionization" phenomena in hydrogen, helium, argon, xenon, krypton, neon, iodine, silica, sulfur, fullerenes, and some metals are analyzed on the base of multiple shock compression experiments. For some simple metals (Li, Na, Ca) the effect of "dielectrization" as a result of multiple shock compression are discussed. Comparisons of the experimental data with theoretical models (Mott and Andersen transitions, percolation, Ziman and Lorenz approach, etc) are presented. The spall strength of single and polycrystal metals at extremely fast deformation produced by fast shock waves is discussed. The semi-empirical equation of state was designed for quantitative description of all four (solid, liquid, vapor, and plasma) states of matter in the broad area of phase diagram. This equation of state describes all sets of statistical and dynamical experimental data and reproduces phase transitions - melting, evaporation, ionization, and polymorphic transformations. At extremely high pressures and temperatures this equation of state has correct asymptotes to the Tomas-Fermi and Debye-Huckel theoretical models.

    257 UA061666 EOOlo

    Collision Effects in Ultra High Illuminated Plasmas.

    Fraiman Gennady M.

    Institute of Applied Physics ofRAS

    The collision effects in underdense plasma interacting with relativistic level laser pulse are discussing. In continue of nonrelativistic e-i collisions investigations in such plasma (PRL 1999, PoP 2001, Jetp 2003, Jetp Letters 2005) the production of ultra high energy electrons in wave beam direction is estimated. The power law distribution on electron energy (p"2 at p»mc) is J 2 shown. The upper level of electron energy can be up to a mc (a=pos(/mc is a peak normalized vector potential of the laser field). But in real experiments the nonadiabatical effects are very important. Partially the comparison with last experiments on "Vulkan" laser system (PRL 94, 245001,2005) is done. It is shown that at a=15 the upper limit could be of the order of 2 Gev, but due to nonadiabatical effects the cut off will be at the energy order of 100 Mev.

    258 ™v> UA061667 E002o

    Applying equilibrium theory to smoky plasmas Dragan G

    Mechnikov National University st. Pushkinskaya 12 kv. 2 Odessa, Ukraine, 65026 pipeaes @ te. net. ua

    Results of physical properties of the smoky plasma formed by combustion of compositions with metal are submitted. Boundaries of.application of equilibrium relations for description of ionization processes are discussed. Problems of description of the kinetic processes in smoky plasma with the atoms of easily ionized impurity in a gas phase are surveyed.

    259 UA061668 E003o

    Kinetic theory of friction and diffusion in dusty plasmas Schram P.

    Eindhoven University of Technology Building Cascade P.O.Box 513 5600 MB Eindhoven The Netherlands p.p.j.m.schram® tue.nl

    The appropriateness of the Fokker-Planck equation for the grains in a dusty plasma is discussed. Restrictions for application are found. A more general description of die velocity dependent friction and diffusion coefficients is formulated on basis of a master equation. The anomalous space diffusion is formulated on basis of the appropriate probability transition

    260 UA061669 E004o

    Transition region between discrete and continuous radiative spectra in dense hydrogenic plasmas

    Lev D'yachkov

    Institute for High Energy Densities, Russian Academy of Sciences, Izhorskaya 13/19, Moscow, Russia

    The problem of reasonable description of transition between discrete and continuous radiative spectra in dense hydrogenic plasmas is considered. The line and continuous spectra are usually calculated in different models. So, the problem of their matching arises. Different ways for the solution of the problem and corresponding difficulties are discussed. A unified approach for the calculation of the discrete and continuous spectra, removing the matching problem, is suggested. The comparison with recent experimental data for pure hydrogenic plasmas at N„ = 1015 - 1019 cm-3 is carried out.

    261 UA061670 E005o

    Role Of The Ion Wake Effect In Stability Of Plasma Crystals

    Victoria V. Yaroshenko, Hubertus M. Thomas and Gregor E. Morfill

    Max-Planck-InstitutJUr Extraterrestrische Physik, D-85740, Garching, Germany Keywords: Complex Plasmas, Ion Wake, Dust-Lattice Modes. PACS: 52.27.Lw, 52.TI.GT, 52.35.LV, 52.35.-g

    In ground-based experiments, strongly-coupled formations (so-called "plasma crystals") are observed in the sheath of the lower electrode, where the upward directed electrostatic force balances the gravitational force on microparticles. The particles mostly arrange themselves in a flat crystal with a diameter of a few hundred interparticle distances and a thickness of up to a few tens of layers. The flatter systems exhibit the thermodynamically expected two-dimensional hexagonal order. In the vertical direction the microparticles are found to be aligned, forming vertical chains (e.g.[l,2]). As an explanation, the attraction force due to the formation of a positive space-charge region underneath the suspended microparticles ("'ion wake") has been discussed [2,3], In this context, the instability of the horizontal oscillations in adjacent horizontal layers due to the asymmetry in the particle-wake interactions has been investigated for double layer crystals, not multi-layers [2,3]. Observations of multi-layer crystals from the top and the sides suggest that pre-melting particles displacements and oscillations are isotropic. This implies that compressive instabilities are important. We consider the stability of the vertical particle chain (it highlights the major aspect of the multi­ layer crystals) in the presence of perturbations along and transverse to the direction of the ion flow. Introducing a "dipole" type of particle interactions we found that even small effective wake charges can be responsible for the development of a dipole instability below a certain threshold value of gas pressure. Such instability could trigger phase transition in plasma crystals from solid to liquid state when the gas pressure is reduced. Therefore, the dipole instability could be the critical process for multi-layer plasma crystals which so far had not been identified.

    REFERENCES

    1. H. M. Thomas, G. E. Morfill, Nature, 379,806-808 (1996).. 2. A. Melzer, V. A. Schweigert, I. V. Schweigert, A. Homann, S. Peters and A. Piel,. Phys. Rev. E 54, R46-48 (1996). 3. V. A. Schweigert, I. V. Schweigert, A. Melzer, A. Homann, and A. Piel,. Phys. Rev. E 54,4155-4158 (1996).

    262 UA061671 £006o

    Structure of Strongly Coupled Plasmas in Quasi-two-dimensional Confinement. A Monte Carlo Study O. Bystrenko

    Bogolyubov Institute for Theoretical Physics, 14b Metrolohichna St., 03143 Kiev, Ukraine Keywords: strongly coupled plasmas, Monte Carlo simulations PACS: 52.27.Gr,52.27.Lw,52.65.Pp

    Strongly coupled plasmas confined in quasi-two-dimensional geometry are studied by means of Monte Carlo (MC) computer simulations. The goal of the work is to explain the structural and thermodynamical properties of such strongly correlated Coulomb systems, as charged colloids in thin films, dusty plasmas trapped in 1 D-potential profiles, ion plasmas confined in planar Penning traps, etc. The focus of MC simulations is the structure of the liquid and crystal phase and the structural and melting transitions in these systems. MC computer simulations were performed for the range of plasma coupling parameter and the thickness of the system being within the range 0.01 - 3 average distances between particles. In these conditions, strongly coupled plasma forms the liquid or crystal state with the layered structure with the number of layers 1-3. The accurate allowance for the 2D periodical boundary conditions in the case of long-range Coulomb interaction is possible by employing the expressions for the Coulomb energy of quasi-2D systems in the form of fast converging Ewald sums in 3D coordinate and 2D inverse space. In MC simulations, there were monitored energy, specific heat, transverse density distributions, intra- and interlayer radial 2D-correlations. In order to study the melting transition, the bond-orientational correlation functions and the global orientational order parameters were computed. The results of simulations are found to be in very good agreement with the experiments with the relevant physical systems. In particular, in the limiting case of one-layered strongly coupled Coulomb systems, the results of MC simulations fairly reproduce the melting point of 2D Wigner lattice formed by electrons on the surface of liquid Helium [1], The MC study of the crystal structure for few-layered strongly coupled Coulomb systems reveals the existence of the structural transitions with alternating hexagonal and square geometry (as dependent on the system thickness) [2], in a complete quantitative agreement with the relevant experiments on the planar ion structures in Penning traps [3]. The anticipated phase diagram near the melting line for strongly coupled one-component plasmas in quasi-two- dimensional confinement is obtained.

    REFERENCES

    1. C. C. Grimes, and G. Adams, Phys. Rev. Lett., 42,795 (1979). 2. O. Bystrenko, Phys. Rev., E67,025401 (R) (2003). 3. T. B. Mitchell, J. J. Bollinger, D. H. E. Dubin, X.-P. Huang, W. M. Itano, and R. H. Baughman, Science. 282,1290 (1998).

    263 UA061672 E007o

    Plasma Bubbles in Dusty Plasma Liquids

    Hong-Yu Chu, Chen-Ting Liao and Lin I

    Department of Physics, National Central University, Chung-Li 32054, Taiwan, Republic of China

    Dusty plasma liquid can be formed by suspending micro-meter sized particles in a low pressure glow discharge. The ablation by focusing a ns laser pulse on one of the suspended dust particle generates a dense plume which expels dust particles. The plasma bubble with dust depletion does not collapse after the laser pulse. It maintains its shape and travels downwards at a speed higher than the dust acoustic wave. The bubbles interact with each other vertically but not horizontally. The bubble also strongly interacts with the dust acoustic wave. The dynamical behaviors of bubble formation and the above interactions will be reported and discussed.

    264 UA061673 E008o

    Quantum Plasmas Bingham R.

    Rutherford Appleton Laboratory Chilton,Didcot, Oxon OXU OQX, UK [email protected]

    Observations of X-rays from 1E1207.4-5209 (an isolated hot neutron /pulsar in the supernova remnant PKS1209- 52) reveal that its X-ray spectrum contains absorption features that display quantization in their energy. We show that such features can be explained by quantizing the Larmor orbits in the extremely strong magnetic field of the neutron star. However, the magnetic field strength necessary to explain the quantized absorption features (8x1010 G) is a factor 40 too small to explain the known rotational spin-down rate of the pulsar (2-3x1012 G). We provide a solution to this dilemma by showing that the X-ray emission arises from confined torodial plasma surrounding the equator of the neutron star/pulsar (a "pulsarsphere"). This emission is then situated well above the surface of the neutron star and hence reveals a much lower apparent magnetic field strength.

    265 UA061674 E009o

    Shock waves in a complex (dusty) plasma D. Samsonov*, S. Zhdanovt and G. Morfill1'

    'Dept. of Electrical Engineering and Electronics, The University of Liverpool, Liverpool, L69 3GJ, UK ^Max-Planck-lnstitute for Extraterrestrial Physics, Carching, 85741, GERMANY

    Abstract Shocks with a Mach number 3.4 were studied experimentally in a two dimensional complex (dusty) plasma. Monodisperse microspheres formed a hexagonal monolayer lattice in a plasma sheath of an rf discharge. An electrostatic pulse excited shocks in die lattice, which was laser-illuminated and video-imaged at 1000 fps. The lattice was melted by the shock. The structure of the shock was resolved at the kinetic level, with motion of every particle traced. The macroscopic parameters, such as number density, kinetic temperature and particle flow velocity were determined. Keywords: complex plasma, shock wave, phase transition PACS: PACS:52.27.Lw,52.35.Tc,62.50.+p,47.40.Nm

    A complex plasma is a mixture of macroscopic (micron-sized) grains with an ion-electron plasma. The grains charge up and interact with each other collectively, they can be also levitated and confined in a gas discharge. Complex plasmas can exist in solid, liquid, and gaseous states (simitar to colloids) and exhibit phase transitions. They can be observed in real time at the kinetic level. Due to a low damping of the grain motion, a range of dynamic phenomena can be observed in complex plasmas (unlike colloids), such as waves [1,2], solitons [3], Mach cones [4], shocks [6]. Complex plasmas can be used as an easy to study dynamic model system of solids, liquids, and gases. Transport phenomena such as heat transfer[7], diffusion[8], and shear flows [9] can be studied. Here we report an experimental study of shocks in a 2D complex plasma.

    FIGURE 1. Shock wave propagating in a two-dimensional complex (dusty) plasma. Initially unperturbed lattice (at 0 ms) had hexagonal symmetry with some defects. The shock propagated into the crystal melting its structure. The Mach number of die shock reduced from 3.4 to 1.9 as the shock propagated across the field of view. The particle cloud fully recrystallized after about 10 s.

    REFERENCES

    1. S. Zhdanov, S. Nunomura, D. Samsonov, and G. Morrill, Phys. Rev. E 68,035401(R) (2003). 2. S. Nunomura, S. Zhdanov, D. Samsonov, and G. Morfill, Phys. Rev. Lett. 94,045001 (2005). 3. D. Samsonov et al., Phys. Rev. Lett. 88,095004 (2002). 4. D. Samsonov et al., Phys. Rev. Lett. 83,3649 (1999). 5. D. Samsonov et al., Phys. Rev. E 67,036404 (2003). 6. D. Samsonov et al., Phys. Rev. Leu. 92,255004 (2004). 7. S. Nunomura, S. Zhdanov, D. Samsonov, and G. Morfill, Phys. Rev. Lett. 95,025003 (2005). 8. S. Nunomura, S. Zhdanov, D. Samsonov, and G. Morfill, Phys. Rev. Lett. 96,015003 (2006). 9. V. Nosenko and J. Goree, Phys. Rev. Lett. 93,155004 (2004).

    266 UA061675 EOlOo

    New Aspects on Plasma Wave and Instability Phenomena - Flow Shear, Polarization Reversal, and Rair Ions -

    R. Hatakeyama. T. Kaneko, and W. Oohara

    Department of Electronic Engineering, Tohoku University, Sendai 980-8579, Japan

    Our basic-plasma experiments relating to fusion-oriented and space/astronomy plasmas have yielded deep and unique insight into wave and instability physics in ordinary electron-ion and unusual pair-particle plasmas. Here recent results on flow sear, polarization reversal, and pair ions are presented as follows in the way that underlying physics is shed light on. Low-frequency electrostatic waves modified by sheared plasma flows in magnetized plasmas are one of very important issues in the field of the basic plasma physics. In this relation, the drift wave is observed to be destabilized by a magnetic-field-aligned ion flow velocity shear in the absence of field-aligned electron drift flow in laboratory experiments using a concentrically three-segmented plasma source [1]. The fluctuation amplitude increases with increasing a shear strength, but the instability is found to be gradually stabilized when the shear strength exceeds a critical value. The destabilizing and stabilizing mechanisms are well explained by a plasma kinetic theory including the effect of radial density gradient [2]. On the other hand, electromagnetic waves with electron cyclotron resonance (ECR) frequency have been significant research subjects for basic physical problems, electron heating, plasma production, and so on. A left- hand polarized wave (LHPW), which has been believed not to be related to ECR, is experimentally demonstrated to be anomalously absorbed near the ECR point. In order to clarify its mechanism, the left-hand polarized wave rather than a right-hand polarized wave (RHPW) is selectively launched in an inhomogeneously magnetized plasma. Our experimental results clearly prove that the polarization reversal from the LHPW to the RHPW occurs near the ECR point and yields the LHPW absorption. The polarization reversal can quantitatively be explained by the dispersion relation including the effects of the radial boundary and the inhomogeneous magnetic-field configuration [3]. Wave propagation not only in such ordinary electron-ion plasmas but also in pair plasmas consisting of only positive- and negative-charged particles with an equal mass has been investigated experimentally and theoretically from the viewpoint of finding new features of the wave in such novel plasmas. Spatial-temporal parity is kept in pair plasmas and this is quite different from the ordinary electron-ion plasmas. A pair-ion plasma source consisting of Qo+ and Qo~ with an equal mass without electrons has been developed [4], while collective-mode theories in pair plasmas have already been given to some extent. In the pair-ion plasma, a density modulation is actively excited by a thick annulus in order to investigate collective modes [5,6]. There appear three electrostatic modes propagating along magnetic-field lines: an ion acoustic wave (IAW), an ion plasma wave (IPW), and an intermediate frequency wave (IFW). IFW is found to behave like a backward wave. The phase difference between + the density fluctuations of C«0 and CM" is about it in IFW and IPW. The phase difference in IAW strongly depends on the frequency.

    [1] T. Kaneko, Y. Odaka, E. Tada and R., Rev. Sci. Instrum. 73 (2002) 4218. [2] T. Kaneko, H. Tsunoyama, and R. Hatakeyama, Phys. Rev. Lett. 90 (2003) 125001. [3] K. Takahashi, T. Kaneko, and R, Hatakeyama, Phys. Rev. Lett. 94 (2005) 215001. [4] W. Oohara and R. Hatakeyama, Phys. Rev. Lett. 91 (2003) 205005. [5] R. Hatakeyama and W. Oohara, Phys. Scripta T116 (2005) 105. [6] W. Oohara, D. Date, and R. Hatakeyama, Phys. Rev. Lett 95 (2005) 175003.

    267 UA061676 E012o

    Nonlinear dynamics of flute modes and self-organization phenomena in turbulent magnetized plasma Pavlenko V.

    Uppsala University Department of Astronomy and Space Physics Uppsala University,Box 515, SE - 751 20 Uppsala, Sweden [email protected]

    Nonlinear dynamics of the flute mode turbulence is outlined and spontaneous generation of large-scale flows in a nonuniform magnetized plasma is demonstrated. Self-consistent description of emergence and evolution of such structures was achieved by focusing on the collective two-dimensional dynamics perpendicular to the magnetic field. To describe this dynamics we use model for interchange (flute) turbulence. Two fundamental questions regarding the physics of these sheared flows have been addressed in the context of the flute mode turbulence. First, what is the mechanism by which these flows are generated? Second, under what conditions will these flowsb e stable and what will be the long term dynamics of flows? The analysis performed is based on the rigorously derived nonlinear equations for flute mode where finite Larmor radius effect is taken into account.

    268 UA061677 E013p

    Ion drag on dust grains in electronegative plasmas I. Denysenko*, M. Y. Yuf, N. A. Azarenkov**, K. Ostrikov* and S. Xu§

    'School of Physics and Technology, V. N. Karazin Kharkiv National University, Svobody sq.4, 61077 Kharkiv, Ukraine 1Theoretical Physics I, Ruhr University, D-44780 Bochum, Germany "School of Physics and Technology, V. N. Karazin Kharkiv National University, Svobody sq.4, 61077 Kharkiv, Ukraine ^School of Physics, The University of Sydney, Sydney, NSW 2006, Australia 5Plasma Sources and Applications Center, N1E, Nanyang Technological University, 1 Nanyang Walk, 637616 Singapore

    The electric, and the positive- and negative-ion drag forces on a dust grain in an electronegative complex plasma are investigated. It is shown that at low neutral gas pressures the number of locations where the drag forces balance the electric force is considerably larger than that in an electropositive plasma. The balance occurs in the so-called oscillation regime where the electric field oscillates in space. At large neutral gas pressures among the forces acting on the dust grain, the negative-ion drag force is found to be important. The effects of the negative ion density, neutral gas pressure, and dust-grain size on the forces are also considered. It is shown that by increasing the density of the negative ions one can effectively manipulate the dust grains. Our results imply that both dust voids and balls can be formed.

    269 UA061678 E014p

    Critical Exponents for Structural Phase Transitions in a Complex Plasma J. D. E. Stokes, S. V. Vladimirov, and A. A. Samarian

    School of Physics, The University of Sydney, Sydney, New South Wales 2006, Australia Keywords: Hamillonian, Plasma Sheath, Dust Particles, Phase TVansitions, Symmetry Breaking PACS: 52.27.Lw,52.35.Py,52.80JPi

    The theory of critical phenomena has mostly been explored from the perspective of the statistical thermodynamics. In so-called extensive systems, the number of interacting particles is of the order of Avogadro's number, so the assumption of an infinite uniform system is justified. In non-extensive systems where the number of particles is of the order of fewer than 103, the thermodynamic limit can no longer be assumed, since the extent of the interparticle interaction is comparable to the size of the system. Complex plasma provides an ideal medium for studying phase transitions in non-extensive systems, wim as little as two particles displaying extremely richphysic s such as spontaneous symmetry- breaking and universality. The critical instability of two dust particles levitating in the complex plasma sheath of a radio-frequency discharge is considered. In typical discharge experiments, the negatively biased lower electrode provides a vertical electric field in which negatively charged dust particles levitate against the force of gravity. If the particles are of equal mass, they will levitate in a horizontal plane where the interparticle force is balanced by an additional radial electric field. Experimentally it has been found that the sytstem can have stable equilibria with the particles aligned horizontally, or in a vertical string [2]. Subsequent experiments performed with two identical particles [3] showed continuous symmetry-breaking of the horizontally aligned particles, followed by a discontinuous transition to vertical alignment, as the parameters of the discharge were varied. A similar experiment performed with non-equal massed particles and more carefully controlled discharge parameters, allowed the critical combinations of radial and vertical confinement to be measured [1]. Using the Hamiltonian of the system, we find that the horizontal alignment instability is closely analogous to the paramagnetic to ferromagnetic phase transition predicted by the mean field theory of the Ising model. In particular, the vertical interparticle separation Az is analogous to the zero-field magnetisation order parameter At and radial confinement strength (measured by the reduced resonant angular frequency £ = {(Op — C0piC)/(0PiC) serves the role of the reduced temperature control parameter £ = (T — Tc)/Tc. Differential wake charging between the dust particles is shown to induce explicit symmetry-breaking and is likened to the breaking of spin reversal symmetry by the conjugated magnetic field H. Identical critical exponents are found describing the analogous parameters near their critical points. A new universality class is proposed for a critical point associated with symmetry-breaking of the confinement fields by the presence of the wake-field. The application of wake induced symmetry-breaking to determination of the wake parameters is also considered.

    REFERENCES 1. A. A. Samarian, S. V. Vladimirov, and B. W. James Phys. Plasmas, 12,022103 (2005). 2. A. MeJzer, V. A. Schweigert, and A. Pie! Phys. Rev. Lett., 83,3194 (1999). 3. V. Steinberg, R. Stttterlin, A. V. Ivlev, and G. Morfill, Phys. Rev. Lett., 86,4540 (2001).

    270 UA061679 E017p

    Dynamics of dust clouds in plasmas

    Kravchenko O.Yu., Yurchuk M.M.

    Faculty of Radio Physics, Taras Shevchenko National Kyiv University, Kyiv, Ukraine e-mail: kay(cb.univ.kiev.ua

    Ionized gases with dispersed dust grains occur in a wide variety of cosmic and terrestrial environment, as well as in laboratory experiments. Dust grains often form clouds and there is interest to study their interaction with plasmas. In particular, the expansion of dust clouds is a fundamental process which is important in many practical situations. For example, in laboratory devices dust particles produced in source region can subsequently expand into the central plasma region [1]. Earlier it was studied the interaction of dust clouds with plasmas at conditions immobile dust particles [2]. Results show an initiation of soliton-like structures in distributions of the electrostatic potential and the ion density. Because of this the interest was appeared to the investigation of the influence these structures on the dust grains expansion. In this paper we study a dynamics of dust clouds embedded in the infinite uniform initially plasma. In the one dimension, the movement of dust particles and ions is governed by cold hydrodynamics equations, electrons are assumed to be in thermal equilibrium, and therefore the number density satisfied the Boltzmann relation. We assume that the forces on the dust consist of electrostatic force and ion drag forces. The dust charge is determined by the charging currents originating from the electrons and ions hitting the grain surface. The electron and ion currents are determined according to the orbit-limited probe model. The system is completed with the help of the Poisson equation. We carried out computer simulations at various initial densities and radii of dust grains. The spatial distributions of parameters were obtained at different times. Results show the expansion of dust clouds at low initial dust grain density, which is evidence of exceeding the electrostatic force over the ion drag force. At the increasing of dust density oscillations of the central part of dust cloud are observed. It is expanded and compressed periodically. This process is accompanied by an appearance of a dust density peak at the cloud periphery, which is increased and decreased periodically too. The oscillations of dust grains are caused by an increasing of the ion flow towards the dust cloud that produces the forming of double layers at the boundary of cloud and increases an ion drag force.

    1. Mikikian M., Boufendi L., Bouchole A., Thomas H.M., Morfill G.E. et al., New Journal of Physics 5,19.1-19.12(2003). 2. Kravchenko A.Yu., Yurchuk M.M., Proceedings of International Conference on Physics of Low Temperature Plasma. Navchalna Knyga., 9.14.113 (2004)

    271 UA061680 E020p

    A novel aspect of dust in plasma Murtaza G.*, Tsintsadze N.L.f and Shah H.A.*

    * National Centre for Mathematics G.C. University Lahore 54000, Pakistan 1Department of Physics, Tblisi State University Chavchavadze 3, Georgia ** Department of Physics G.C. University Lahore 54000, Pakistan

    A new concept of generating quasistatic magnetic fields, vortex rings and electron jets in an isotropic homogeneous plasma is presented. The propagation of plasma waves, generated by a relativistically intense short pulse laser, is investigated by using the kinetic model and a novel non-potential, time dependant ponderomotive force is derived by obtaining a hydrodynamic equation of motion. This force can in turn generate quasistatic magnetic fields, vortex rings and electron jets. It is also shown that the vortex rings can become a means for accelerating electrons, which are initially in equilibrium. The conservation of canonical momentum circulation and the frozen- in condition for the vorticity is discussed. The excitation of the vortex waves by the modulation of the amplitude of the plasma waves is considered. These vortex waves, which generate lower hybrid mode propagating across the generated magnetic field, are also investigated.

    272 UA061681 E022p

    Electrical and Optical Oscillations in the Front of Premixed Flame of Zirconium A. V. Florko, T. A. Florko, N. I. Poletaev and V. I. Vishnyakov

    Mechnikov Odessa National University, Odessa 65026, Ukraine Keywords: combustion plasmas, zirconium oxide, flame PACS: 52.27.Or, 52.27.Lw

    The practice of burning the metallized fuel and particles of metals for a long time has shown that products of their combustion in the oxygen-containing mediums there are high dispersion metal oxides. This phenomenon has been studied, in general, for effective burning of fuels in the combustors of various rocket's and jet's drives; struggle against two-phase losses, etc. The examination of such systems for last two decades has been got the technological direction-, the synthesis high-melting metal oxides of the micron and submicron sizes by combustion method. The great interest, today, appear to the combustion plasma (complex thermal plasma) in connection with an opportunity of formation of the ordered structures in it. The studying of the electrical and optical characteristics of the front of the flame of zirconium particles-gas mixture with the most probable particles' sizes about 2.3 microns were carried out in the presented report. It has been defined, that the spectroscopic brightness of a condensed phase, as and the electron number density, has oscillations on frequencies 200-300 Hz during burning of the zirconium particles-gas mixture. The amplitude of brightness vibration does not depend on the wave length X, and ratio of the signal in a minimum to the peak value makes up y—0.7 ± 0.1, frequency v = 220 ±60 Hz. The absence of dependence of y from X testifies that these oscillations are not related to the temperature changes of condensed phase, and absence of dependence of y from the counting volume testifies that they are not related to the possible fluctuationo f particle number density. At this time, the electron number density has change more than ten times. The analysis of the experiment results showed, that oscillations are related to instability of the heterogeneous combustion regime of particles (the size of the burned down particles is close to initial), what lead to the change of the combustion regime on the vapor-phase regime, with formation of particles of oxide with the characteristic size about 0.02 microns. Because the depth of modulation does not depend on the number of particles of zieconium, the coordination of change of combustion regime is determined, probably, by electromagnetic interaction.

    273 UA061682 E023p

    * and +

    * l

    Abstract There are various ways to supply the necessary energy for plasma generation to a neutral gas.1 Electrons and ions are produced in the gas phase when electrons or photons with sufficient energy collide with the neutral atoms and molecules in the feed gas (electron-impact ionization or photoionization). The most widely used method of generating and sustaining a low-temperature plasma for technological and technical application is by applying a microwave electric field to a neutral gas. Charge carriers accelerated in the MW field couple their energy into the plasma via collisions with other particles. Electrons retain most of their energy in elastic collision with atoms and molecules because of their small mass and transfer their energy primarily in inelastic collisions. This leads to an avalanche of charged particles that is eventually balanced by charge carrier loss, so that a steady state plasma develops. Microwave breakdown of gas is the phenomenon by which the ionizing action of a high frequency electric field can turn a non-conducting gas into a conducting plasma. Microwave breakdown is defined as the linear stage during which the electron density increases exponentially in an avalanche process. As the electron plasma created by the avalanche gets denser, the dielectric properties of the medium are changed. In breakdown physics one deals with a medium ranging from an essentially neutral gas with very small densities of charge particles to a weakly ionized plasma with a small fraction of charge particles together with a bulk of neutral particles. Although the charged species only make up a small fraction of the total number of particles or particle density of the medium, their charge, and the concomitant force and conductivity, give the plasma properties completely different from those of a neutral gas. In the previous works we have been studied the breakdown phenomenon when the strong MW field with linear and circular polarization interact with a dilute gas and generate the plasma in the non-relativistic regime.2,3'4'5 In the present work plasma produced by interaction between microwave (MW) field weaker than the atomic field with circular polarization in the presence of a strong static magnetic field witii a dilute gas is studied. Solving the Vlasov equation with proper approximations the electron distribution function (EDF) obtained for produced plasma in the non-relativistic case. The obtained EDF shown that, the created plasma completely non-equilibrium and anisotropic. Making use of the EDF the all elements of the dielectric tensor investigated. The obtained tensor demonstrate that the produced plasma completely anisotropic and may be give rise to various instabilities, we will wish the study of the wiebel instability for such plasma in the future work. Keywords: PACS: <52.40.Db,52.35.Hr>

    REFERENCES

    1. H. Conrads and M. Schimidt, Plasma Sources Sci. Technol. 9 (2000)441-454, Printed in the UK 2. B. Shokri, M. Ghorbanalilu, Phys. Plasmas. 11,2989, (2004). 3. B. Shokri, M. Ghorbanalilu, A. A. Rukhadze, Phys. Latt. A, 329,362, (2004). 4. B. Shokri, M. Ghorbanalilu, Phys. Plasmas. 11,5162, (2004). 5. B. Shokri, M. Ghorbanalilu, Phys. Plasmas. 11,5398, (2004). 6. M. Ghorbanalilu, B. Shokri Phys. Plasmas. 13,022102, (2006).

    274 UA061683 E029p

    Radiation instability in an optically thin, expanding dusty plasma

    Madhurjya P. Bora and Manasi Buzarbaruah

    Physics Department, Gauhati University, Guwahati 781014, India.

    In this work, we report a detailed analysis of the radiation instability (thermal instability) in a fully ionized, expanding dusty plasma, such as found in planetary nebulae. The work is inspired by recent observation of finite-size dust particles inside a fully ionized plasma in planetary nebulae envelopes (H-H region) around hot stars. We have shown though the basic isobaric condition due to Field remains the same, the unstable sound modes owe their existence to the dust-charge fluctuation, which introduces an extra time scale into the model. We analyze the expanding equilibrium with the help of WKB method followed by a detailed numerical simulation of the model

    275 UA061684 E030p

    Persistence of structural order in 2D dusty Coulomb liquids Yu-Hsuan Huang* and Lin I*

    'Department of Physics, National Central University No.300, Jhongda Rd., Jhongli City, Taoyuan County 32001, Taiwan

    Under the interplay of thermal noise and mutual coupling, the structure of a cold 2D liquid at the microscopic level exhibits intermittent fluctuation between the ordered state with triangular lattice type structure and the disordered defect state, In this work, using the idea of persistence, we characterize the above fluctuationexperimentall y in a 2D Coulomb liquid formed by suspending dust particles in a low-pressure discharge. The persistent length of the ordered state exhibits power law distribution. The origin for the non-Markov process is identified and discussed.

    276 UA061685 E031p

    The Effect of a Longitudinal Magnetic Field on the Plasma; Dust Structures in Strata of Glow Discharge Ivanov A.

    Saint Petersburg State University 198504 Russia Saint-Petersburg, Staryi Petergof, Vlyanovskaya 3

    The process of formed in glow discharge striation dusty structure melting induced by application and further increase of magnetic field was investigated. The method of selfcorrelational functions was applied for structure phase identifi­ cation. In increase of magnetic field the phase transition from anisotropic liquidlike state to disordered gaseous state was revealed. The tend of structure spatial lattice to change was also identified.

    277 UA061686 E032p

    The electron energy distribution in a dusty plasma Ostrikov K.

    Sydney University [email protected]

    A kinetic model for complex low-pressure argon discharge plasmas containing dust grains is presented. The model consists of the balance equations for plasma particles and the homogeneous kinetic Boltzmann equation. Using the model the effects of the dust density and spatial distribution, as well as the non-uniformity of the electric fieldsustaine d the plasma on the electron and ion number densities, the electron energy distribution, the dust charge, and the effective electron temperature, are investigated. It is found that the dust particles strongly effect on the plasma parameters by modifying the electron energy distribution, the effective electron temperature, the creation and loss of the plasma particles, as well as the spatial distributions of electrons and ions. The effect of the dusts on the electron-energy relaxation length is shown to be significant. The latter decreases as the dust density and/or size increase. This work was partially supported by the Australian Research Council and the University of Sydney.

    278 UA061687 E033p

    Opportunity of Exploration of a Motion Dusty Component with Help of Laser Heterodyne Receiver of Scattered Radiation

    Yuriy Serozhkin

    Institute of Semiconductor Physics, Kyiv, Ukraine e-mail: [email protected]

    Diagnostics of dusty plasma with the help of laser radiation develops on two directions: - Using of laser radiation for illumination at high-speed camera shooting; - Application of laser velocimeter for the determination of parameters of a dust motion. The purpose of this work is to consider the opportunity of the exploration of the parameters of the grains motion with the help of the laser heterodyne receiver of the diffused-scattering radiation. The probing and heterodyne beams of the receiver are formed by optical-acoustic frequency shift of the laser radiation on frequencies Fp and Fg. The informational signal formed at mixing on the photodetector the radiation of a heterodyne and diffused-scattering radiation from grains. This signal is represents a phase-modulated signal with a carrier frequency Fp - Fg. The information about value and velocity of phase-change and, hence, about bias and velocity of a surface, is determinates with the help of calculation of a modified function arctg2 from the relation in-phase and quadrature components of the phase-modulated signal. The sensitivity of this receiver to the oscillations of a diffused-scattering surface is 0.5... lnm in the frequency band 0...100 KHz. The energy sensitivity at measuring oscillations of a surface with amplitude 10 nm is 1 nW. For dusty component with the size greater than wave lengths of laser radiation (0.63 microns) are discussed the depending of the requirements for recording of oscillations grains from its concentration and sizes. There are made the preliminary experiments with use as a dusty component of friable matters (soda, flour etc.), colophony-smoke and cigarette-smoke. During these experiments the probing beam by power 1 mW was focalized on a dust cloud or cloud of a smoke. The distance between receiver and dusty cloud was 0.5...lm. Diameter of a focal spot is approximately 50...100 micron. The oscillations of particles in a dust cloud were excited with the help of loud­ speaker. The received results indicate on the opportunity of the recording of the particles oscillations with amplitude several tens nm. However, interpretation of these results requires more complete understanding of the process of dispersion by micron-size particles.

    279 UA061688 E034p

    Dusty Structures in Strata of Glow Discharge in Magnetic Field Karasev V.

    Saint-Petersburg State University 198504 Russia Saint-Petersburg, Staryi Petergof, Ulyanovskaya 3 [email protected]

    The plasma-dust structures in a glow discharge exposed to a magnetic field are studied in detail. In a weakly ordered structure, the angular velocity has a vertical gradient A reversal of rotation of the structure in a magnetic field is found. Additional experiments on the observation of the onset of rotational motion of a structure in magnetic fieldsar e conducted. It is shown that rotation reversal is caused by changes in the direction of ionic flowsfro m internal regions of the structure to its periphery and vice versa in the weak and strong magnetic fields.

    280 UA061689 E035p

    Nonlinear dust charge fluctuations in dusty (complex) plasmas: a Van der Pol-Mathieu model equation

    M. Moment I. Kourakis2-*, P. K. Shukla2

    1 Faculty of Physics, Tabriz University, Tabriz 51664, Iran 2 Ruhr-University Bochum, InstitutfUrTheoretische Physik TV, D-44780 Bochum, Germany t Email: [email protected]

    Dusty (or complex) plasmas are characterized by the presence of massive mesoscopic (micron- sized, typically) particulates ("dust grains"), which is known to modify plasma properties sub­ stantially. The electric charge which resides on dust grains is acquired dynamically and may fluctuate in time via a variety of charging processes [1]. In this brief report, the parametric excitation of dust acoustic oscillations due to dust grain charge fluctuations in a dusty plasma is investigated. A three-component model dusty plasma is considered, consisting of negative inertial dust grains (of constant size, mass and charge, for simplicity), in addition to a thermalized (Maxwellian) background of electrons and ions. By employing a fluid plasma description, and assuming a periodic fluctuation of the dust charge Q, a Van der Pol-Mathieu-type hybrid nonlinear oscillator model ordinary differential equation [2] is obtained for the dust number deasity. An averaging technique provides the framework for an analysis of the dust density evolution in time, via an analytical reduction to an autonomous set of equations for a slowly varying pair of perturbation amplitudes [3]. A phase-space analysis reveals the existence of a fixed point, whose stability is investigated. The phase space portrait is determined numerically, in terms of the interplay between the intrinsic dust plasma frequency

    ©rf)P and the parametric excitation (dust charge fluctuation) frequency (Ojf.

    References [1] P.K.Shukla and A.A.Mamun, Introduction to Dusty Plasma Physics (IOP Publishing Ltd, 2002).

    [2] M.W. Hirsch and S.Smale, Differential Equations, Dynamical Systems and Linear Algebra (Academic Press, N.Y., 1974).

    [3] L.D. Landau and E.M. Lifshitz, Mechanics (Pergamon Press Ltd, 1960), Ch. 5.

    281 UA061690 E036p

    Charge polarization (dressed electrostatic interaction) effects in dusty (complex) crystals I. Kourakis1'*. P. K. Shukla1, B. Farokhi2 1 Ruhr-Universitat Bochum, InstitutftirTheoretische Physik IV, D-44780 Bochum, Germany 2 Department of Physics, Bu-Ali Sina University, Hamadan, Iran f Email: [email protected]

    It is now established that the presence of massive mesoscopic (micron-sized, typically) partic­ ulates ("dust grains") may modify plasma properties substantially [1]. One of the most exciting novel features of dusty (or complex) plasmas is the occurrence of lattice (quasi-crystalline) con­ figurations, due to the strong electrostatic coupling between dust grains. Inter-grain interactions in a dust crystal are generally thought to be of Debye-Huckel (Yukawa) "screened" type. How­ ever, refined theoretical studies have shown that taking into account plasma polarization due to the sheath region (near the grain surface) associated with the grains [2] results in a strong modi­ fication of the (oppositely charged) charge cloud surrounding the particles. This may eventually even allow for attractive (repulsive) interactions among equal- (opposite-)charge-sign particles. The influence of dust charge polarization (dressing) on lattice vibrations is investigated in this brief report. Both uni-dimensional (ID) and hexagonal (2D) monolayer configurations are considered. It is shown that dressed interactions lead to a reduction in the frequency of lattice vibrations [3,4], as regards both longitudinal and transverse degrees of freedom. The possibility of a new crystal instability (melting) entirely due to the dressing effect is pointed out. On the other hand, the occurrence of crystals consisting of opposite (...+-+-+-+...) charge dust grains may be anticipated via this mechanism [5],

    References [1] P.K.Shukla and A.A.Mamun, Introduction to Dusty Plasma Physics (IOP Publ., 2002).

    [2] S. Hamaguchi and R. T. Farouki Phys. Rev. E 49,4430 (1994); D. P. Resendes, J. T. Mendonca and P. K. Shukla, Phys. Lett. A 239,181 (1998).

    [3] I. Kourakis and P. K. Shukla, Phys. Lett. A 351 (1-2), 101 (2006).

    [4] B. Farokhi, I. Kourakis & P. K. Shukla, Dust lattice wave dispersion relations in two- dimensional hexagonal crystals including the effect of dust charge polarization, Phys. Lett. A, in press (2006).

    [5] I. Kourakis, P. K. Shukla & G.E. Morfill Phvs. Plasmas, 12, 112104 (2005). UA061691 E038p Statistical Cell Approach to Heterogeneous Plasma System V.I. Marenkov Odessa National University, Physics Department, 2 Dvorjanskaja Str., UA 65026 Odessa, Ukraine e-mail: [email protected] Abstract. A new approach for modeling the ionization state in dense high-temperature heterogeneous media is proposed. On the basis of Fermi-Dirac distribution in Tomas-Fermi approximation for conductivity electrons of a chosen condensed particle (CP) the problem of its ionization-equilibrium description in heterogeneous plasma system (MPS) is formulated and closed system of HPS thermal ionization is constructed. Collective polarization effects in HPS with polidispersed CP are analyzed in details. Keywords: Heterogeneous plasma, ionization, condensed particle, polarization effects PACS: 52.25 Jm, 52.65.-y High-temperature heterogeneous plasma systems (HPS) with large specific enthalpy content are widely used in modern technologies. Modem power generation using dispersed fuel, MHD - generators, plasma processing and quenching of materials, creation of new compounds and substances in plasma - chemical reactors, controlled ablation of surfaces of a spacecraft and erosion of surfaces processed by a laser, precision control of deposition in the electronic component manufacturing, are only some of the areas where the information regarding the properties of the HPS is important. Due to ecological requirements regarding protection of the nature from hazardous high - temperature emissions and due to introduction of new conserving energy and resources and protecting the nature technologies, this list can be extended by a wide range of problems concerning the use, control and diagnostics, and modification of properties of the HPS under the condition of exchange of energy, momentum, and matter with external medium when external plasma sources operate. Hence, the problem of study and modeling of properties of a variety of dusty plasma is of great importance and not solved yet. Usually, external control of the HPS at the level of diagnostic and controlling devices is performed by the means of electromagnetic influences. Under the conditions of stationary equilibrium between the plasma medium and the thermostat, which are specific for operation of industrial equipment, due to the presence of free charges a certain stationary distribution of current density is created and maintained in the volume of the HPS due to the field of external sources (thermostat field). In the regions of local thermodynamic equilibrium (LTE) of plasma the current density in the laboratory frame of reference is determined by anisotropy of the local velocity distribution function for separate HPS components; electronic and ionic subsystems, charged CDP components. As a result, it leads to appearance of the resultant stationary field of the macroscopic current density distribution in the volume of the HPS. At the same time, the interaction of specific structure elements of "heavy subsystem of heterogeneous plasma" - the ensemble of CDP macroparticles with their surroundings, takes place in such a way that overall in the volume of plasma medium, and an experiment shows this, electroneutrality is observed. Thus, electrostatic forces in the LTE regions that due to long range character of Coulomb interaction have collective nature cause spatial as well as time correlations in the movement of free charges of the system that provide the means for preservation of space and time scales of charge separation in the HPS, i.e. the quasineutrality is realized. Thermodynamic force, the Maxwell electrostatic field in the volume of the HPS, not only cause the electric current, but also leads to polarization of plasma particles that have a complicated internal structure: atoms and molecules of the buffer gas, ions, CDP macroparticles. Since quasineutrality is interrelated with the effects of electrostatic screening of the charges by the counterions, the microstructure of Coulomb plasma inhoniogeneities is changed under the influence of the field, and due to the sufficient difference between electron, ion, and particle subsystem relaxation times, volume polarization is created in the HPS with a current. The transformation of Coulomb microinhomogeneities and their influence on the electrophysical properties of the HPS with a current, due to polarization effects, is a weakly studied area of the plasma theory, although it is very important for applications. In many modern technologies (laser, space), the CDP particles, that are created in plasma, or are injected into plasma medium from outside, have spherical or thread - like, elongated shape and are characterized by the cylindrical symmetry. The study of the influence of an ensemble of the CDP particles of spherical or cylindrical shape on the electrophysical characteristics of the HPS, that is created in technological plasma processes in the external electrical field, is the mail goal of the work, and it determines the set of problems that will be solved: 1. Development of new methods of description of quasineutrality of the HPS involving the notion of electrostatic cell of electroneutrality - an ensemble average of a spatial plasma region that determines the spatial scale of separation of charges in disordered plasma system. 2. Creation of physical and mathematical models of electron - ion processes in the HPS with essential contribution of potential interactions to thermodynamic potentials; 3. Performing computer simulations for thermodynamic state parameters specific for introduced plasma technologies, and determining the dependencies of electrophysical parameters on crucial thermodynamic parameters 4. Consideration and creation of new models of processes of response of the HPS to the external electromagnetic influences. The study of polarization effects in the stationary HPS with the current in the volume. 5. Determination of conditions under which regular structures of the CDP macroparticles are created in the polarized HPS due to multipole interaction of the cells with external source induced polarization. Development of functional relations between the vector of induced polarization and thermodynamic and caloric parameters of plasma medium.Working out of recommendations on separation of the CDP particles by the given parameter (size, work function, dielectric constant and electron characteristics <283 condensed particle substance). UA061692 Elllp

    Spectroscopic investigation of 3D plasma clusters' environment

    T. Antonova1, B. M. Annaratone1, T.Sato2, H.M.Thomas1 and G.E. Morfill1 1 Max-Planck Institutfur Extraterrestrische Physik, D-85741, Garching, Germany 2 Institute of Fluid Science, Tohoku University, Japan

    The topic of 3D plasma clusters is of great relevance in complex (dusty) plasma science. In ground experiments it is very difficult to obtain perfectly spherical 3D structures because of gravity. The dynamical behavior of clusters is a challenge for investigation, since it requires a 3D diagnostic to detect fast processes. In this abstract we present the formation and the dynamical study of 3D plasma clusters in a plasma of very small size and the spectroscopic analysis of the environment. The plasma clusters have been obtained in rf discharge by using the segmented "adaptive" electrode, which consists of 57 squared segments, each of 16 mm2 area. Applying additional rf voltage on one segment it is possible to get a glow ('plasma ball' or 'secondary plasma') and gather particles in this region. The clusters obtained in such a way have a spherical 3D structure, which differs much from the one in sheath region, where usually particles levitate in layers. A special 3D optical system, based on three lasers' illumination, together with programming analysis allows us to get all three coordinates of particle simultaneously in time sequence. Due to this technique the analysis of cluster structure, vibrations, motion of particles as well as interaction between them can be performed. The particles' behavior is also defined by the surrounding plasma, where the cluster is situ­ ated. The characterization of mis plasma is not easy because of its very small size. One electric probe of 0.175 mm diameter was disturbing the 'plasma ball' shorting rf voltage to ground. We have performed spectroscopic analysis of 'plasma ball* intensity using a photomultiplier with three filters (A=350,550 and 810nm) for ionic and atomic lines. By scanning vertically the chamber we have obtained the structure of our discharge with the main plasma glow, two sheath regions and a 'plasma ball' glow. It has shown that the intensity of "secondary plasma' is higher man intensity of main plasma almost in all spectra. The steady-state corona model has been used in order to determine the plasma intensity of 'plasma ball'. The applicability of this model was proved by the measuring of plasma optical depth with the 'mirror method'. The main plasma parameters have been taken from electric probe measurements. The geometrical factors, which is significantly different for main plasma volume and 'secondary plasma' have been calculated. The density of ions in small plasma has been estimated of the order of 1016m~3.

    284 UA061693 E114p

    Transport in granular conductors Gerasymov O.

    Odessa State University of Environment Department of General and Theoretical Physics Lvivskastr.15, Odessa,65016, Ukraine ogerasymov @ mail, ru

    We investigate transport in granular metallic systems where depending on the bare tunneling conductance.the conduc­ tivity can demonstrate either insulating(exponential),or metaIHc(logarithrnic) temperature dependences.experiencing metal-insulator transition under the appropriate conditions which are differs from the generally expected.We study the effect of Coulomb interactions on the tunneling density of states at the onset of Coulomb blocade regime.We present the model which explains of the low-temperature conductivity and compare our results with that of the homogeneously disordered conductors.We develop the theory of a variable range transport in granular conductors based on the elec­ tron tunneling through many grains in the presence of the strong Coulomb interaction, in particular in the regime of small tunneling conductance between the grains where we derive the Efros-Shklovskii law of Coulomb-interaction controlled transport.

    285 UA061694 E115p

    Computer simulations of the Grain Charge Fluctuations in Dusty Plasmas T.Bystrenko, O.Bystrenko and A.Zagorodny

    Bogolyubov Institute for Theoretical Physics, 14b Metrolohichna St., 03143 Kiev, Ukraine Keywords: dusty plasmas, Brownian dynamics simulations PACS: 5235.Vy, 52J27X.W

    The properties of grain charge fluctuationsi n dusty plasmas are studied by means of the microscopic Brownian dynamics simulations and on the basis of the drift-diffusion approach. The aim of the simulations is the basic features of the time autocorrelation function for the charge fluctuations. The model system is represented by a single spherical grain of a radius a embedded in a weakly ionized high pressure plasma background with the plasma-neutral collisions playing a major role. It is assumed that there are only two oppositely charged plasma components, e.g., ions and electrons, with the equal temperatures and the charge numbers. The grain charge is a result of the complete absorption of both types of plasma particles by the grain surface and the difference in electron and ion diffusivities. The investigation of the grain charge dynamics is based on the overdamped Brownian dynamics method of computer simulations, which has been employed earlier [1 ] to investigate the problem of grain screening. We employ the particle- in-cell method of simulations with concentric arrangement of spherical cells which allows for the spherical symmetry of the problem. The simulations have been performed for the wide range of plasma parameters with the number of plasma particles in simulations being N = 1000-3000. The drift-diffusion approach, which is a continuous analogue to the method of particle simulations, has been used as an alternative method to study the relaxation of fluctuations. It is based on the generalization of the Onsager's hypothesis (for the case of non-equilibrium systems) that the relaxation of a perturbed system to its steady state is identical to the relaxation of fluctuations. The results obtained within these approaches for the same plasma parameters correlate very well. In computer simulations, there have been examined such statistical properties of the system as charge variance, correlation time, charge correlator. It is found that these properties are close to the ones typical for systems being in the thermodynamic equilibrium. The simulations evidence that the correlations of fluctuations decrease exponentially with time while the correlation time is proportional to the squared Debye length. Within a wide range of parameters, the charge variance is found to be close to the inverse coupling parameter.

    REFERENCES 1. O. Bystrenko, A. Zagorodny, Phys. Rev., E67,0066403 (2003).

    286 UA061695 E117p

    Structure and Melting of Spherical Coulomb and Yukawa Clusters: Simulation and Theory Ogawa Takafumi

    Graduate School of Natural Science and Technology, Okayama University Tsushimanaka 3-1-1, Okayama 700-8530, Japan ogawa@mat,elec.okayama-u.ac.jp

    Structure formation and melting of spherical clusters of Yukawa particles are analyzed by numerical simulations and theoretical approaches including the case of pure Coulomb interaction. At low temperatures, particles form spherical shell structures which can be reproduced by a theoretical model. Melting of these clusters is analyzed by observing the specific heat and diffusion of particles. In small clusters, there exist two peaks in the specific heat and they correspond to the melting in the azimuthal and radial directions. These results are to be compared with experiments of dusty plasmas under microgravity and Coulomb clusters in Penning traps.

    287 UA061696 E121p

    Estimation of dusty plasma parameters from measurements of characteristic frequency of macroparticle oscillation

    X.G. Adamovich1. O.S. Vaulina2, K.B. Statsenko^Yu. Khrustalev1, I. Shakhova2, A. Gavrikov2

    'Moscow Institute of Physics and Technology, Russia 2Institute for High Energy Densities, Russian Academy of Sciences, Moscow, Russia

    The dusty plasma is an ionized gas containing micron-size charged condensed grains (dust). One of the parameters, which can be used for the description of the dusty system, is the typical frequency of the macroparticle oscillation coc. In the present work we estimate this frequency based on the experimental data. Consider the motion of the dusty grain in the point of the imaginary crystal lattice. If 2 we can describe a restoring force Fr = ~co Xj, that acts on the particle in this lattice, with the help of one characteristic frequency a>c, its equation of motion can be written in the following 2 2 d x)L dx , , . fdxA way [11: M—z = -Mvf,—--2co„ x, +2M\ —- + 2x,Fril„. Here M is the gram mass, 3 dt2 fr dt c J {dt ) ' rm vfr- the friction coefficient, Fm„ - some random force. In [1] there was found a solution for this equation in case of absence of correlation between the displacement of particle Xj and the random force (< Frmxi >- 0) for homogeneous medium. Trie estimation of coc in the present work is based on this solution. We use in this examination experimentally gained data about the mean-square displacement of dusty particles in the quasi- 2D systems. The experiments were conducted in the gas RF-discharge, the data were gained with the help of the high-frequency high- resolution video camera. The following parameters were varied during the experiment: the effective coupling parameter T*, pressure of the buffer gas, the concentration of grains. Also a)c is estimated based on the coupling parameter T*;

    With the help of the obtained values of a)c we estimate such parameters of dusty plasma as the charge of grains and electron temperature.

    [1]. Vaulina O.S., Petrov O.F., Fortov V.E. JETP (2005)

    288 UA061697 E122p

    Examination of equations of state for quasi- two-dimensional dissipative systems with Yukawa interaction

    X. G. Adamovich1,0.S. Vaulina2

    'Moscow Institute of Physics and Technology, Russia 2Institute for High Energy Densities, Russian Academy of Sciences, Moscow, Russia

    Investigation of physical properties of strongly coupled systems is an important question for different fields of science, such as hydrodynamics, plasma physics, medicine and other. But at the present time there is no consistent theory that could give the equations of state for the liquid, explain its thermodynamic properties, describe the transport phenomena, etc. Laboratory dusty plasma represents a good model for investigations of properties of strongly coupled dissipative systems. It is an ionized gas containing small grains of solid matter (dust) that becomes electrically charged. Most investigations of dusty plasma use the Yukawa (screened Coulomb) potential of 2 interaction U = (eZf) exp(-r/A)/r, where e is the electron charge, eZp - the charge of one grain. As for numerical data for the equations of state of the liquids, they were obtained mostly for the dispersive systems (without friction) with Hie molecular interaction, i.e. with interaction potentials U^g - - a/r™+ b/r" (a, b, n, m are constants, r is the distance between the particles). In this work we consider the equations of state of liquid quasi- two-dimensional systems with the screened Coulomb interaction potential. We use the experimentally gained information about pair correlation functions of particles for a wide range of effective coupling parameter T*. With the help of these correlation functions the correlational energy, pressure and compressibility of the system are calculated. We propose the analytical approximations for these thermodynamic properties. The obtained results are compared with the results of earlier works.

    289 UA061698 E123p

    Visco-elasticity in a Sheared Coulomb Liquid Chia-Ling Chan* and Lin I*

    'Department of Physics, National Central University No.300, Jhongda Rd, Jhongli City, Taoyuan County 32001, Taiwan(R.O.C.)

    Dusty plasma liquid formed by suspending negatively charged micro-meter sized dust particles in a low pressure discharge is an interesting toy system to understand the dynamical behavior of the liquid at the microscopic level through direct visualization. In this work, we periodically shear the opposite edges of the dusty plasma liquid by two modulated laser beams. By tracking dust particle trajectories, we find that the liquid exhibits visco-elastic response, i.e. the liquid only partially rebounds after ceasing the external drive. The response is strongly correlated with the local structure change. The micro-origin of visco-elasticity is discussed.

    290 UA061699 E124p

    Electrostatic plasma oscillations and the kinetic energy of a charged macroparticle in weakly ionized plasma

    O. S. Vaulina1. S. V. Vladimirov2, A. Yu. Repin1

    1 Institute for High Energy Densities, Russian Academy of Sciences, Izhorskaya 13/19, Moscow 127412, Russia 2School of Physics, The University of Sydney, New South Wales 2006, Australia

    We have presented the analytic relations for the stochastic energy that is acquired by an isolated solid macroparticle in a weakly-ionized plasma because of the thermal electrostatic plasma fluctuations. The fluctuations can be related to the Langmuir plasma mode as well as to the electrostatic (cold) ion mode. The derived expressions allowed us to estimate the minimum value of the kinetic temperature of the macroparticle in a quasi- equilibrium plasma for the conditions where there is no plasma-dust instabilities and no propagated plasma waves. Numerical simulations have demonstrated that for the conditions of typical laboratory experiments in a gas-discharge plasma (when, in particular, T/Te«l), the most significant contribution to the energy acquired by the macroparticle comes from the plasma fluctuations associated with the ion component. The kinetic temperature T app of the macroparticle acquired by this channel is proportional to the second power of the dust charge (rapp QC Z2), and can significantly exceed the room temperature TT of the background gas/plasma ions. We note that for the conditions of a typical laboratory experiment with a dusty plasma, collisions of plasma ions with the neutral gas atoms can significantly decrease the charge on a macroparticle as compared to that determined by OML. This, in turn, can lead to significant decrease of the kinetic energy acquired. Influence of ion-neutral collisions on charging of macroparticles in gas discharge plasmas was investigated for wide range of dusty plasma parameters. Obtained empirical approximation allows the determination of the values of dust charges for various experimental conditions.

    The authors gratefully acknowledge the invaluable discussions -with Professor J. Goree ( University of Iowa). This work was partially supported by the RFFR (No. 04-02- 16362), CRDF (No. RU-P2-2593-MO-04), and the Program of the Presidium of MS.

    291 UA061700 E125p

    Dynamic phenomena in cryogenic dc discharge dusty plasmas

    S.N. Antipov1. E.I. Asinovskii2, V.E. Fortov1, A.V. Kirillin2, V.V. Markovets2, O.K Petrov1 *

    ' Institute for High Energy Densities of Russian Academy of Sciences, Moscow, Russia 2 Institute for High Temperatures of Russian Academy of Sciences, Moscow, Russia

    Dynamic phenomena induced in dc discharge dusty plasma structures at cryogenic temperatures were experimentally studied. We have developed a setup designed to reveal the importance of the temperature factor in the formation and behavior of dust structures. For transition to cryogenic temperatures the discharge was cooled in a cryostat with vapors of liquid helium. Conducting the experiments, we controlled discharge temperature in the range from about 80 K down to 5 K. Dust acoustic waves and vortices during the temperature transition were observed. Oscillation characteristics were measured.

    292 UA061701 E126p

    Electromagnetic effects on thermal instabilities in nonuniform dusty tokamak edges Shukla P.K.*, Eliasson B.* and Kopp A*

    * Ruhr-University Bochum Theoretische Physik IV D-44780 Bochum Germany

    We present an investigation of the radiation condensation (thermal) instability in nonuniform dusty tokamak edges, including electromagnetic effects. We derive a dispersion relation by using a hybrid approach in which the electrons are treated as a fluid, while the ions are described by means of a kinetic formalism. The new dispersion relation is analyzed numerically analyzed to show the effects of charged dust impurities, electromagnetic corrections and equilibrium inhomogeneities on the growth rate of the radiation condensation instability. It is found that electromagnetic effects and dust contribute to the stability of the thermal condensation modes. Work supported by the Deutsche Forschungsgemeinschaft through the Sonderforschungsbereit 591.

    293 UA061702 E127p

    Condensation instability modes in dusty space and laboratory plasmas Shukla P. K.*, Kopp A.*, Eliasson B.* and Shchekinov Yu.*

    *Ruhr-Universitaet Bochum Institutjuer Theoretische Physik IV NS 7/23 Ruhr-Universitaet Bochum D-44780 Bochum Germany

    In magnetized plasmas containing charged dust impurities, we study radiation condensation instabilities of low- frequency compressional electromagnetic waves. A new dispersion relation is derived and numerically analysed. For applications to tokamak edges, we study the influence of charged dust grains on the growth rate of the instablity and demonstrate with numerical simulations how such an instability could work in the interstellar medium.

    294 UA061703 E128p

    Transport of macroparticles in dissipative two-dimensional Yukawa systems

    O. S. Vaulina, I.E. Dranzhevski

    Institute For High Energy Densities, Russian Academy of Sciences, Izkorskaya 13/19,127412, Moscow, Russia [email protected]

    The problems associated with the transport phenomena in dissipative systems of interacting particles are of significant interest in various fields of science and technology (hydrodynamics, plasma physics, medical industry, physics of polymers). The main problem involved in studies of such systems is associated with the absence of an analytical theory of liquid that could explain its thermodynamic properties, give the equation of state, describe heat and mass transfer, viscosity and so on. Diffusion, and viscosity constants are fundamental parameters that reflect the nature of interparticle interaction and characterize thermodynamics of systems. Analytical relations for these constants in strongly coupled systems can be used for application of known hydrodynamic approaches to analyze of shear flows, wave propagation, and formation of different instabilities. At present, the theory of strongly coupled systems and approximate models for the description of the liquid state of matter are developed using two basic approaches. One of these approaches involves a semi-empirical method of determining the correlation of the parameters of liquid with the properties of initial crystals, which is based on analogies between the crystalline and liquid states of matter (for example, the "jump" theory). The second approach is based on a complete statistical calculation of the properties of non-ideal media by molecular dynamicsmethods using model data on the energy of particle interaction. In this work we studied the dynamics of macro-particles in 2d- dissipative non- ideal Yukawa structures. We have introduced generalized dimensionless parameters responsible for the particle correlations, T*, and for the scaling of dynamic processes, £, in dissipative systems. We demonstrated that these parameters, together with the particle temperature, fully determine thermodynamic properties of the modeled systems since they are responsible for the phase state as well as for the transport processes, such as the mass transfer and the shear viscosity. Comparison of obtained results with data of numerical investigations for 3d- Yukawa systems is presented. In contrast of 3d- systems we have found that there are two singular points for all transport characteristics of 2-d Yukawa systems under study. First of them (for T*~ 100) may be related to the liquid-to-hexatic phase transitions, second (T*~ 160) is the crystallisation point of analysed systems in a solid with the hexagonal latex (hexatic-to-solid phase transitions). We have shown that the mass-transfer processes in the liquid dust systems at the small observation time t < tact (where tact» 2/a>c) is similar to the mass-transfer processes in the solid. We have proposed the different analytic relations, to describe the mass-transfer at the small observation time. Obtained results can be useful in an analysis of the kinetic processes at physically small times.

    295 UA061704 E129p

    Dynamics of Dust Particles in Radio Frequency Discharges

    Kravchenko O.Yu., Vakulenko A.V., Lisitchenko T.E., Levada G.I.

    TarasShevchenkoNationalKyiv University, Volodymirs'kaStr. 64, 01033Kyiv, Ukraine e-mail: [email protected]

    Capacitively coupled rf discharges are widely used as sources of reactive species for plasma deposition, etching, or surface treatment As was shown in many papers, dust particles are produced in plasma and influence on characteristics of discharges. In particular, dust particles change electron and ion velocity distribution functions and influence on ionization processes and flows of plasma particles toward the electrodes. According to experimental results dust particles are distributed in the discharge chamber not uniformly and trapped into some regions, forming dust clouds and voids [1]. The numerical simulation of the dust particles dynamics in RF discharges was carried out earlier in the frame of hydrodynamic model [2], which is not correct for discharges of the low pressure. At the same time, the kinetic description RF discharges it was performed only for the case of static dust particles [3]. In this paper we are carried out the computer simulation of the dust cloud dynamics in the radio frequency discharges at the microgravity conditions using PIC/MCC method for electrons and ions and hydrodynamics model for dust particles. In our model we take in account elastic collisions of electrons and ions with atoms, an ionization and excitation of atoms by electrons, the charge exchange between ions and atoms, coulomb collisions of electrons and ions with dust particles, as well as the electron and ion collection and scattering by dust particles. We used the subcycling technique to accelerate calculations due to the large difference of the dust particle mass and the ion (electron) mass. The moving of dust particles is governed by the electrostatic force, ion and neutral drag forces, which are averaged over period of RF discharge. The calculations were performed under various gas pressures, densities and radii of dust particles. The obtained results show that dust particles form cloud with sharp boundaries in the discharge chamber. Locations of the cloud boundaries don't coincide with the edges of the rf-sheathes and depend on size of dust particles and ion density in discharge. The dust density distribution is almost uniform in the central part of the cloud. At the edges of the cloud significant peaks of dust density are formed.

    1. M.Mikikian, L.Boufendi, A.Bouchole, H.M.Thomas, G.E.Morfill et al., New Journal of Physics 5,19.1-19.12 (2003). 2. M.R.Akdim, W.J.Goedheer, Phys. Rev. E 67,066407.1-066407.10 (2003). 3. Y. Chutov, W. Goedheer, O. Kravchenko, V. Zuz, Yan Min, J. Plasma and Fusion Research. -4, 340-348 (2001).

    296 UA061705 E134p

    Complex plasma experiment in cryogenic environment Kojima Chikara

    Yokohama National University W707 General Research Building Yokohama National University 79-5 Tokiwadai Hodogaya Yokohama, 240-8501 JAPAN [email protected]

    Complex plasma in cryogenic environment is studied experimentally. Complex plasma is produced by electrical discharge either in a helium vapor above liquid helium or in a glass tube with helium gas immersed in liquid nitrogen or in liquid helium. The complex plasma in the helium vapor is in a pressure ~ 300 Pa of neutrals at 1 K, while the complex plasma in the glass tube has an advantage of a controllable pressure of neutrals. In the helium vapor, a dust cloud is observed above a plate electrode placed just above liquid helium. In the glass tube, a phase transition of dust particles and a structure formation are observed by changing temperatures of neutrals from 300 K to 1 K.

    297 UA061706 E135p

    Critical Phenomena in Dusty Plasmas Modeled by Yukawa System Totsuji Hiroo

    Graduate School of Natural Science and Technology Okayama University Tsushimanaka 3-1-1, Okayama 700-8530, Japan totsuji® elec. okayama-u.ac.jp

    It is known that the isothermal compressibility diverges in the strongly coupled classical one-component plasma model (OCP), because, in this model, the neutralizing background has no contribution to the pressure. In real systems, the pressure of the background is usually large enough to mask this divergence. In dusty plasmas where dust particles are modeled as Yukawa OCP, it is possible to observe the divergence in the compressibility of the Yukawa OCP. Critical phenomena are theoretically analyzed and experiments are proposed for their observation.

    298 UA061707 E136p

    Nonlinear phenomena in four component dusty plasmawith charge fluctuation

    P.H. Sakanaka and I. Spassovska

    Institute deFisica "Gleb Wataghin", Universidade Estadualde Campinas, Campinas, SP, Brazil.

    The presence of a positive dust component in four component dusty plasma, as it was shown [1], gives rise to the nonlinear structures as double-layers, which otherwise are absent. What happens when charge fluctuation is included? We have carried out order by order expansion of fluid equations for the dusty components (positive and negative dust) with Boltzman electrons and ions, combined with Poisson's equation and charge fluctuation equation. At the moment only charge attachment was considered. We have worked as the operation point the equilibrium attachment current. We have shown that the linearized equations give rise to damped ion dusty accoustic oscillations. In the second order expansion the solutions are damped solitons. We have calculated the possible experimental scenario, such as the case of dusty plasma reported by Oohara et al. [2]. We have extended the analysis to the third order expansion of fluctuation level in order to get a double layer solutions as in the fixed charge cases. We will show the outcome of our calculations for all these different order expansions.

    1. Sakanaka, P.H., and Shukla, P.K., Phys. Scripta, 84,181 (2000) 2. W. Oohara, N. Tomioka, T. Hirata, R. Hatakeyama, and N. Sato, Proceedings of the 2000 International Congress on Plasma Physics, Quebec, October, 2000., Vol 1, pag. 116-119 (2000).

    299 UA061708 E140p

    Test Charge Response for a Dusty Plasma With Size Distribution and Charging Dynamics

    Michael A. Raadu and Muhammad Shafiq

    Royal Institute of Technology, Alfv6n Laboratory, Department of Space and Plasma Physics, SE-10044 Stockholm, Sweden Abstract. The dielectric response of a dusty (complex) plasma is sensitive to the form of the grain size distribution and can be strongly modified by dynamical charging effects. For a class of size distributions, the plasma dielectric is equivalent to that for a Lorentzian distribution of mono-sized particles. Dynamical charging of grains enhances the shielding of a test charge, and associated time delays lead to new physical processes. Since the charging rate depends on the size of a dust grain the contribution of the dynamical charging to the plasma dielectric becomes a complicated function of frequency when a grain size distribution is introduced. However an analytical form for the frequency dependence can be found, and for low frequencies a power series gives a good approximation. The combined effects of grain size distribution and grain charging dynamics on the response to a slowly moving test charge moving through the dusty plasma are treated using these results.

    Keywords: Dusty plasma, Grain Charging dynamics, Grain size distribution.

    300 UA061709 E141p

    A Quasi-Particle Approach To Modulational Instabilities Driven By Broadband Turbulence In Plasmas Bingham R.

    Rutherford Appleton Laboratory Chilton,Didcot, Own 0X11 OQX, UK r.bingham @ rl.ac. uk

    The interaction of broadband turbulence with monochromatic plasma waves has been studied. A kinetic equation for quasi- particles is used to describe the turbulence. Beam instabilities occur in this interaction when the phase velocity of the long- wavelength monochromatic wave is nearly equal to the group velocity of short-wavelength wavepackets, or quasi-particles, associated with the turbulent spectrum. It is shown that quasi-particle Landau-damping can take place, as well as quasi-particle modulational instabilities, thus establishing a direct link between short- and long-wavelength perturbations of the medium. Numerical simulations have been conducted in which a particle-in-cell representation is used for the quasi- particles while a fluid model is employed for the plasma. Two cases have been treated: (i) an intense laser pulse driving a plasma wakefield, for use in plasma-based acceleration, and (ii) a broadband distribution of drift modes coupling to zonal flows in a tokomak-like configuration. The coupling between short- and long-wavelength modes found here is distinct from the usual picture of direct and inverse energy cascades, and it can be used as a new paradigm for the fluidan d plasma turbulence theories.

    301 UA061710 E143p

    Plasma Characteristics in the Front of a Laminar Diffusion Two-Phase Flame of Iron A. V. Florko, V. V. Golovko and J. A. Doroshenko

    Mechnikov Odessa National University, Odessa 65026, Ukraine Keywords: combustion plasmas, iron oxide, flame PACS: 5Z.27.Gr,5Z27.Lw

    The plasma of combustion of particles of iron, as the process of making the particles of iron oxide with the characteristic size 2.5 microns has been explored. Heterogeneous combustion of Fe-particles took place in the flame's front with width about 0.15 cm. The electron number density was defined by the probe's method, the temperature of the condensed particles {Td = 1740 ± 50 K) was defined by the polycolor method, and the temperature of gas (7J = 1670 ± 20 K) was defined by a method of the treatment of spectroscopic lines. The electron number density reaches up 109cm""3, despite of rather low temperature in the front of flame. As has shown the analysis, the thermionic emission from the surface of burning particles, coated by the layer of iron oxide (Fe304), is the basic supplier of free electrons. The combustion has the heterogeneous nature, about what testifies the results of the disperse analysis and fact that the temperature of particles exceeds the gas temperature. The condition of the quasi-neutrality and the equation of electrons balance have allowed to estimate the charging numbers of particles Z = 2700±500 and the work function of electrons from their surface A = 3 ±0.2eV. The coupling parameter for particles in the flame's front is about 100, which corresponds to a line of crystallization of the plasma crystals [? ] therefore the short-range order can appear in the system of combustion particles. The coefficient of the superficial tension is rather small o Bi 10~9joule/m2 and the thickness of the superficial layer close to width of the flamefront , as have shown estimates on the basis of Ref. [? ].

    REFERENCES . V. E. Portov, A. G. Khrapak, S. A. Khrapak, V. I. Molotkov, and O. R Pettov, Phys. Usp. 174,495-544 (2004). . V. N. Tsitovich, Phys. Usp. 167.58-99 (1997).

    302 UA061711 E145p

    Nonequilibrium Ionization in the Space Charge Layer in Thermal Plasmas V. I. Vishnyakov

    Mechnikov Odessa National University, Odessa 65026, Ukraine Keywords: thermal plasmas, noneguilibrium ionization FACS: 52.27.Gr, 52.27.Lw

    The subject of study is low-temperature thermal complex plasma. The thermal complex plasma consists of a buffer gas (usually air) at the atmospheric pressure and easily ionizable additional agents - the atoms of alkali metals. At the temperature of 1000-3000 K the easily ionizable atoms of additional agents becomes partially ionized by the collisions of gas particles, forming the low-temperature plasma. Such plasma, being in equilibrium, can be considered within the limits of ideal gas approximation. The insert of metal electrodes into the low-temperature plasma or the formation of a condensed phase in the plasma causes the displacement of the system from equilibrium state. In the presented report we consider the plasma layer contacting a flat metal electrode. The conservation of the charge carriers is defined by the continuity equations

    -g^ + V.J.«0, -gi + V.J.-G, where j ,* is the flux of electrons (ions), the source function G represents electron (ion) number density variation rate as a result of ionization - recombination processes. In any volume of the plasma which does not contain the phase boundary, ionization degree is defined only by the collision ionization of alkali-metal atoms and the volumetric recombination: G = finenA — ynenj, where /$ is the constant of alkali-metal atoms ionization rate , y is the electron-ion recombination coefficient. Beyond the space charge region there are equilibrium values of ionization and recombination: G0 — pnqnA — (0 + Y)nq — 0, that is pnA = (/} + y) nq. The existence of the volumetric charge in the space charge layer result in the disbalance between the recombination rate )««.«,• = ~p& and the ionization rate finena = {Snqe\p{e$ (T)nA — finq which depends on the potential. Therefore, G ^ 0 causes the displacement of ionization degree in the space charge layer and forms the nonequilibrium charge carriers, thus the positive potential induces the increase of the ionization degree, and the negative potential - the decrease. It result in the disbalance between diffusive and drift fluxes:

    je = fien'eV - DeVn* ^ 0, j, = -ju^V0 -/J»,Vn,* £ 0, where fi^-, is the electron (ion) mobility, D,* is the electron (ion) diffusivity, "*" means nonequilibrium character of the charge carriers number density. The nonequilibrium number densities can be presented in the form of a deviation from the equilibrium value »J = «« + Sn and n* = nf 4- 8n. In the stationary case we obtain for nonequilibrium additive the following equation

    2 e .2 JSn\ \ 1 fSn\ Sn *p($) - * 1 r , . p/_2i

    where XR = ^/D/yn0 is the recombination length (or diffusion length of nonequilibrium carriers). In the report solutions of this equation for thermal collision plasmas are presented

    303 UA061712 E146p

    Properties of rf complex plasmas I. Denysenko*, J. Berndtt, E. Kovacevict, I. Stefanovic** and J. Winter*

    'School of Physics and Technology, V. N. Karazin Kharkiv National University, Svobody sq.4, 61077 Kharkiv, Ukraine 11nstitute of Experimental Physics II, Ruhr-University Bochum, D-44780 Bochum, Germany "Institute of Experimental Physics II, Ruhr-University Bochum, D-44780 Bochum, Germany; Institute of Physics, POBS7,11001 Belgrade, Serbia and Montenegro ^Institute of Experimental Physics II, Ruhr-University Bochum, D-44780 Bochum, Germany

    The influence of dust particles on the properties of a capacitively coupled discharge is studied both experimentally and theoretically. A 1 -D discharge model is developed to study the spatial distributions of the electron and ion number densities, the electron temperature, the argon atoms in an excited state and the rf electric field. The effects of dust grains on the power absorption in a complex plasma - taking into account stochastic and Ohmic heating in the plasma sheaths- on the sheath size and on the energy of positive ions bombarding the electrodes are investigated. In particular, it is shown that the increase of the power absorption in the bulk of complex plasmas is due to the dependence of the rf electric fieldo n the electron density. The results of the calculations are compared with the available experimental data and found to be in good agreement.

    304 UA061713 E147p

    Grain screening in semi-bounded plasmas.

    A.I. Momot1, A.G. Zagorodny2

    1 Kyiv National Taras Shevchenko University, Glushkova 2, 03022 Kyiv, Ukraine 2Bogolubov Institute for Theoretical Physics, Metrolohichna 14-b, 03143 Kyiv, Ukraine.

    The screening potentials of single grain embedded into semi-bounded plasmas are calculated. Limiting cases of collisionless plasma as well as plasma described in the drift-diffusion approach are considered. It is assumed that plasma boundary does not absorb reflecting particles. We treat the grain as point-like particle with appropriate singular sink in the equations describing plasma dynamics that makes it possible to take into account plasma particles absorption by grain. Such model approach allows recovering the results for screening potentials calculated with regard to finite size of grain within the linear approximation in the case of unbounded plasmas and can be easily extended to the case of bounded system. It turns out to be that plasma dynamics can considerably influence the asymptotic behavior of screening potential. Modifications of such potentials due to boundary influence are studied in detail. Particularly, the presence of asymptotic inversely proportional to the third power of the distance parallel to the boundary is shown.

    305 UA061714 E148p

    Two-particle System in a Plasma Sheath

    A. Samarian, S. Vladimirov, J. Stokes, L. Couedel, T. Olshansky, B.James

    School of Physics.University of Sydney, Sydney,2006,Australia

    Keywords; plasma sheath, ion wake, dust particles PACS: 52.85.Lw

    The physics of complex plasma systems containing a micro-particle component (dust) is a new and quickly emerging area at the frontier of physics and theoretical physics, plasma physics, solid-state physics, space physics and astrophysics. Structures in complex plasma systems, especially such non- extensive structures as dust particle clusters, strings, vortices, and voids, attract particular attention since they can be easily obtained in experiments and allow theoretical treatment at the most fundamental level

    The nature of particle arrangements in systems containing large number of particles can be understood by considering simplified systems of just a few (e.g. two particles). It is well known that even an interaction between two dust particles in the complex environment of the plasma sheath is highly complicated. The interaction involves both a symmetrical Debye-type interaction as well as an asymmetric attractive interaction induced by ion focusing downstream the particles in the presence of ion flow. This talk highlights the fundamental physics and experiments in two-particle system in the sheath of gas discharge plasma. A specialized and comprehensive description of the most recent experimental, theoretical, and modeling efforts to understand unique properties of two-particle structures involving symmetry breaking, interparticle separation, particle attraction as well as dust particle influence on a wake formation is given. Main attention is paid to symmetry breaking disruption which occurs in a system of two dust particles when the key parameters (such as confinement, dust charge and separation, ion flux) have been reached the critical values [2-5]. We discuss the possible equilibria of a dust molecule in a variety of confinement potentials. Our analysis suggests that the parabolic potential well admits only horizontal and vertical stable dust alignments which is in agreement with an recent prediction [6]. We also suggest that continuous changes in particle alignment are possible not just with a quadratic potential well, but also cubic due to particle asymmetry and variation of grain charge with elevation in the sheath. The horizontal alignment instability at the critical confinement provides a new diagnostic tool for determining the wake parameters.

    REFERENCES

    1. S. Vladimirov K. Ostrikov and A. A. Samarian, Physics and Applications of Complex Plasmas, Imperial College, London (2005). 2. A. Melzer, V. Schweigert, and A. Piel, Phys. Rev. Lett. 83,3194 (1999). 3. V. Steinberg, R. S"utterlin, A. V. Ivlev, and G. Morrill, Phys. Rev. Lett. 86,4540 (2001). 4. S. Vladimirov and A. Samarian, Phys. Rev. E 65,046416 (2002). 5. A. Samarian, S. Vladimirov, and B. W. James, Phys. Plasmas 83,3194 (2005). 6. M. Lampe, G. Joyce, and G. Ganguli, IEEE T. Plasma Sci. 33, 57 (2005).

    306 UA061715 E149p

    Deposition of Coulomb Clusters: Control and Stability

    A.A. Samarian, F.Chueng, O.Vaulina, K.Ostrikov, B.W. James

    School of Physics, The University of Sydney, NSW 2006, Australia Keywords: plasma, magnetic field, ordered structure, pattern transfer PACS: S2.85.Lw

    Coulomb Clusters are well ordered structures formed from highly charged particles trapped in a potential well. These structures are formed because the particles undergo strong electromagnetic interactions from forces such as coulomb repulsion and electrostatic confinement, hence their name. These clusters contain small amounts of particles (N<100) whose shape is governed by the nature of the potential well. For a radial parabolic well, the cluster consists of concentric shells given enough particles in the system. Due to their discrete structure, the dynamics of coulomb clusters are relatively easy to analyse using various analytical and numerical methods. This combined with their unique physical properties due to their small size, have made coulomb clusters a popular research topic of late. Examples of cluster systems include quantum wells and ion traps. One area where coulomb clusters have been of particular interest is in dusty plasmas (or complex plasmas). Deposition of the dust clusters with different numbers (2 to 12) of micron-sized particles levitated in a horizontal plane was studied experimentally in gas discharge plasma. The effect of magnetic field on control and stability of such clusters have been investigated. When the magnetic field was absent, the clusters exhibited small random fluctuation but always remained around their equilibrium position. And when an axial magnetic field with strength up to 90G was applied normal to the cluster plane, the dust cluster was observed to undergo rotational motion as a rigid body. At such low magnetic field strength, the electrons were fully magnetized, the ions were partially magnetized, and the dusts were unmagnetized. Since the direction of the rotation was in the left-handed direction with respect to the magnetic field, so presumably, the cluster rotation was mainly due to the collisional drag from the azimuthal component of the ion flow. Here we offer an first experimental observation of the structures which obtained by deposition of rotating clusters. We give also an explanation of effect of the plasma parameters on the key parameters of the deposited structures. It was also found that the fluctuating motion of the particles was dominated by its azimuthal component which was 2-12 times larger than radial component. It was observed that the number of particles in a cluster strongly influenced the cluster instability. The reason behind certain cluster structures being more unstable than others was likely to be due to their number of possible metastable states. It was observed that the stability of individual particles within the clusters increased with increasing axial magnetic field.

    307 UA061716 ElSOp

    New Measurements Of The Force Distribution laslde The 'Void' Of A Complex Plasma In MIcrogravity

    M. Kretschmer, U. Konopka, S. Zhdanov, H. Thomas, G.E. Morfill

    Max-Planck-Instilute for Extraterrestrial Physics (MPE), Giessenbachstr,, 85740 Garching, Germany

    COMPLEX PLASMAS IN M1CROGRAVITY

    'PKE-Nefedov' is a complex ('dusty') plasma experiment facility onboard the International Space Station ISS since 2001 [1], It contains a rf plasma chamber where micron-sized 'dust particles' (plastic spheres) can be injected into an Argon plasma at a pressure of 10 - 200 Pa. The particles gather an electric charge of 103-104 electrons each and arrange, under certain conditions, in a regular structure, a so-called plasma crystal. A sheet of laser light illuminates a plane of particles which is observed with two CCD cameras and recorded onto video tapes. The tapes are later returned to Earth by the cosmonauts where the stored data (movies) are analyzed. This allows to study the behavior of micro-particles inside a plasma by analyzing their positions and trajectories, which yields the forces acting on the particles. The advantage of the experiment in space is the opportunity to measure the small forces. In ground-based experiments the dominating force is always gravity. In most of the complex plasma experiments in microgravity a particle-free region in the center of the discharge plasma is present that was first observed in experiments done by MPE on ballistic rocket flights. Also 'PKE- Nefedov' shows in most experiments the 'void'. The presence of the void was unexpected and several theories competed in its explanation. The difficulty of deciding which explanation is favorable is due to a lack of information about the interior of the void, because it is - unfortunately - empty.

    EXPLORING THE VOID

    In some early experiments with PKE-Nefedov on the ISS we succeeded in bringing particles into the void from which they were expelled immediately. These experiments were repeated in another experiment session in space with different plasma parameter settings. By analyzing the trajectories of these particles we can conclude on the forces acting on the particles. The velocity profiles in horizontal and vertical direction show linear behavior with respect to the center of the void, the elliptical boundary between particles and void forming an equipotential line of the effective potential energy inside the void. Parabolic fits show a good agreement with the observed trajectories (fig.l). Together with computer simulations we can now assume that the force that is responsible for the void formation is the drag force of the ions that are produced in the center of the discharge and that are streaming outwards to the rf electrodes, pushing the particles also outwards and leaving a void in the center.

    !. M. Kretschmer, PKE-Nefedov Homepage, http://www.mpo.mpg.de/pko

    308 UA061717 E151p

    Electrostatic waves in a magnetized dusty plasma in presence of dust streaming

    K. K. Mondal

    Faculty of Science Sovarani Memorial College Jagatballavpur, Howrah West Bengal, INDIA Pin-711408 E-MAIL- kalyanmondal&.vsnl, net

    For a magnetized collisionless dusty plasma containing Boltzmann distributed ions and highly negatively charged micron sized dust grains having streaming velocity, a linear dispersion relation has been derived and the same has been exhaustively analyzed. In the nonlinear part, expression for the Sagdeev potential has been deduced. Effects of dust streaming, obliqueness (y = cosG where G is the angle between the direction of propagation and the magnetic field) etc. on the profiles of Sagdeev potential have also been displayed.

    309 UA061718

    E152p

    Electron and Ion Number Densities in the Space Charge Layer in Thermal Plasma V. I. Vishnyakov

    Mechnikov Odessa National University, Odessa 65026, Ukraine Keywords: thermal plasmas, noneguillbrium ionization, space distribution PACS: 52.27.Gr, 52.27.Lw

    The low-temperature thermal plasma represents a gas at the atmospheric pressure and at the temperatures around T = 0.1 - 0.3 eV(T/kB = 1200 - 3500 K). It usually contains easily ionizable atoms of alkali metals as natural impurity or in the form of special additional agents, which are the basic suppliers of free electrons and positive singly charged ions. The ionization of the additional agent's atoms in the thermal plasma occurs due to the collisions between the gas particles, therefore such plasma is strongly collisional, unlike the low pressure gas-discharge plasma. The temperatures of the plasma components are close to each other and the system can be considered as isothermal. Inside the space charge layer the equilibrium is disturbed as the nonequilibrium charge carriers appear. In each point of the space charge layer there is some value of electrical potential, which provides, in accord with Ref.fl], for the presence of the nonequilibrium charge carriers in this point

    2 "l + (erDE/T) Thus the full electron and ion number densities are described by the following expressions

    "« = «eo + *"» "/ — na + ^"> where /irt and «„, are the equilibrium values of the number densities, defined by the Boltzmann distribution law. From mis equations we obtain,

    M'~ *2cosh[<^(r)/T]-l'

    . , exp[-2ej>(r)/T] + 2sinh [e$(r)/T] "An-"-, 2cosh[e$(r)/r]-l These equations allow to build-up the distributions of the electron and ion number densities in the space charge layer.

    REFERENCES

    1. V. L Vishnyakov, Phys. Plasmas, 12, 103502 (2005).

    310 UA061719

    E153p

    Floating Potential of the Thermal Plasma-Metal Contact V. I. Vishnyakov

    Mechnikov Odessa National University, Odessa 65026, Ukraine Keywords: thermal plasmas, noncguilibrium ionization, floating potential PACS: 52.27.Gr.52.27.Lw

    Thermal plasma at atmospheric pressure consists of buffer gas (usually air) and easily ionizable addition agent of 1S 3 alkali-metal atoms with number density nA ~ 10 — lO^ni"" . At the isothermal Kelvin temperature T ~ 1000 — 3000 K easily ionizable addition agent becomes partially ionized by the collisions of gas particles, forming the low- temperature plasma. Such plasma, being in equilibrium, can be considered as ideal gas approximation. Metal electrodes inserted into the low-temperature plasma or condensed phase formation leads to displacement of equilibrium state. Formation of the grains charge is accompanied by the exchange of electrons between a condensed phase and plasma. As a result of this exchange in plasma there is a space charge layer that causes formation of nonequilibrium charge carriers, and their number densities can be presented in the form of a deviation from the equilibrium value n*e = ne + 8n and «* = «( + Sn. The nonequilibrium additive describesjn accord with Ref.[l], by following expression

    on. = na *—'-——- 2 cosh (»)• The balance of currents through the interface, with taking into account the nonequilibrium additive, gives the equation for calculating the floating potential

    This equation can be approximated for a case of small potential barriers etys << kT by expression

    efc = J[*rinQ^-H'], |«fc|«*r; (1)

    For a case W t < W by expression

    e& = i|fcrm^Vwl, fe«0; (2)

    And for a case W t > W by expression e& = ATln'f® — J-W, &»0. (3) In report has been demonstrated that existence of nonequilibrium charge carriers essentially affects on the potential of the phases boundary if the work function of an electron from the metal exceeds a work function of an electron from the plasma: the account of nonequilibrium charge carriers gives the decreases of the potential in three times at the negative charge of dust grains. It because that the initial ionization degree in the low-temperature plasma is small. Therefore there can be a large increase of the ionization degree up to the full ionization of gas at the positive grain charge. But decrease of the ionization degree is restricted by the not ionization state of gas at the negative grain charge.

    REFERENCES 1. V. I. Vishnyakov, Phys. Plasmas, 12,103502 (2005).

    311 AUTHORS INDEX

    Abbas G. A191p BalanP.C.A181p Abdikian A. Dl 1 lp, Dl 12p BalanP.C. BOOlo Abdullatif R.F. AOO60 Stockel J. BOOlo AdamekJ.BOOlo BallR.B137 Adamovich X.G. E121p, E122p Bandura A.N. B005o Aflori M. A182p BarsukovA.G. B113p Afzal M.T. A191p Basiri M. D014 Ahmadizadeh T. Ya. C146 BasiukV. B009o Akiyama T. BOO80 BaskoM.M.D151p AlaviKh.A117p Bazhenov V. Yu. A044p, Aliev Yu.M. DOO80 D003o, D016p Alisov A.F. DOOlo Belashov V. Yu. C026p, C154p AltukhovA.B. B023p Belashova E. S. C013p, C026p, Alves M. V. C005o C154p Amiri S. D013p, D014p BelovA.S.C118p Ando A. IT D14 Berezhiani V.I. C120p Andrenucci M. D142p Berezhnij V.L. IT B21 Anisimov 1.0. COOlo, D150p Berndt J. E146p Annaratone B. M. El 1 lp Beyer P. IT B23 Antipov S.N. E125p BhasinA. D171p Antoni V. D142p Bingham R. A175p, C145p Antonova T. El 1 Ip E008p, E141p ApetreiR.P. A168p BobylevA.V.A193p Arkhipenko V.I. A003o, D177p Bogaerts A. D134p ArseninA.V. D018p Bogdanov S.Yu. AOO80 Artamoshkin A.M. DOOlo Bokhanov A. Dl 13p Artaud J.F. B009o BoloukiN.D122 Arzhannikov A.V. Bl 16p Bolshakova I. B002o, B121p Asinovskii E.I. E125p Bonfiglio D. B126p AskinaziL.G.B113p BoraM.P.B016p,E029p AstrelinV.T. B116p Borgogno D. A184p AyushinB.B. B114p BoriskoV.N.D116p Azarenkov M.O. A009o, BoswellR.ITD13,C147p A043p, D134p, D172p, D174p, BraultP.ITD13 D176p, E013p Brotonkova J. B123p BabichI.L.D141p Bugrov S.G. AOO80 Bakharev P.V. A163p Burdakov A.V. BOO60, Bl 16p

    312 Bute V.A. D167p Couedel L. E148p Buttery R. J. IT B33 Cramer N. A154 Buzarbaruah M. E029p Cross A.W.A175p Byrka O.V. B005o daSilvaF.B004o Bystrenko O. EOO60, El 15p Dalakishvili G.T. C120p BystrenkoT.E115p Damgov V.N. A005o Cabral J.A. BOOlo DeBleeckerK.D134p CaillardA.ITD13 DecykV.K.ITA12 Cairns I.H. A178p, COO60, DendyR. O.ITC14 C007o,C155p,D134p Denysenko I. A043p, D134p, Cairns RA175p,C145p E013p, E146p Callebaut D. A004o Derevjankin G.E. Bl 16p Cappello S. B126 DevynckP.B123p Cavazzana R. D142 Dewar R.L. AOO60 Cercek M. A131p, A132p Dicks A. IT D13 Chai J.W. D134p Dimitriu D. G. A182p Chan Chia-Ling E123p Djamaletdinova I.E. D131p Chandre C. BOlOo Dong J.Q. IT B22 Chapelle J. D153p Doroshenko J.A. E143p Chapman S. C. IT C14 Dragan G. E002o ChapskiyE.A. E113p Drake J.F. IT C12 Charles C. IT Dl3 Dranzhevski I.E. E128p, E152p CheH.ITC12 Dreiden G.V. AOO80 Chebotarev V.V. B005o DudnykN.D145p ChechkinV.V.ITB21 DuranI.B002o,B121p ChekhYu.Alllp Dyachenko V.V. Bl 14p ChenF.ITD12 D'yachkov L. E004o ChenQiangD007 Dzhumagulova K.N. C132p, Chen-Ting Liao E007o C133p Chernyak V. D143p, D144p, Dzierzega K. A136p D145p,D146p Eliasson B. E126p, E127p Chernyshev F.V. Bl 13p, Bl 14p ErashokV.B002o Chibisov D.V. A009o Erokhin N.S.A005o Chichina M. D120p Es'kinV.A.A162p Chiriac S. A182p EscandeD.F.B126 Chueng F. E149p Esfandyari-Kalejahi A. A031p, Chugunov Yu.V. CI 18p A040p,A186p Churpita O. D120p Essiptchouk A. D022p CiraoloG. BOlOo Evsyukov A. Al 1 lp ClairetF.B004o Farina D.A184p Coccorese V. B121p Farokhi B. E036p

    313 Fedorenko A. K. C153p Gorbachev A.M. DOlOo FengY.P.D134p GorbunovN.A.D012o Ferreira I.S. C121p GotoK.ITA23 Ferreira J.L. D026 GotynyanO.E. C153p Fesenyuk O.P. B022p GoudarziS. Blllp Figueiredo H.F.C. BOOlo GrassoD.A184p FinkenK.H.B002o Grigor'evaL.I.ITB21 Florko A. V.E143p, E022p GrishanovN.I. B138p, C021p Florko T. A. E022p GstreinR.A168p,A181p Fortov V. E. IT E14, E125p Gunn J. B002o Fraiman G.M. EOOlo Gurchenko A.D. B023p Frank A.G. AOO80 Guryn A. A. D121p Fujisawa A. BOO80 Gusakov E.Z. A003o, B023p FunabaH.B012o GusevV.K.B114p Furukawa M. C131p Gyergyek T. A131p, A132p GalaydychV.A172 Habibi H. D014p Gapon A.V. D172p, D174p, Hada T. C148p D176p Hatakeyama R. Al 14p, A155p, Garcia R. CI 13p A170p,A176p,E010o Garkusha I.E. B005o Hatami M.M. D124p GavrikovA. E121p HattoriK.ITD14 Gavrilenko I.V. DOOlo Hayakawa M. C153p GeigerJ.B021p,B022p HayashiK.A114p Gerasimenko V.I. A014p HayashiN.B140p Gerasimov S. B121p HeX.T.AOlO Gerasymov O. El 14p Hennequin P. B004o Gerbaud T. B004o Heuraux S. B004o GhendrihP.BOlOo Hidalgo C. BOOlo Ghomi H. A160p, A161p, HirotaM. C131p Ghorbanalilu M. E023p Hnatiuc B. D153p Girkal.DOllo HnatiucE. D153p Giruzzi G. B009o Holland C. IT Dll GoedheerW.D134p Holod I. B122 Gogoberidze G. A174p HolyakaR.B002o,B121p GolantV.E.B113p Hong-Yu Chu E007o GolotaV.D152p,D170p Honore C. B004o GolotaVXD167p HoranyiM. COlOo GolovkoV.V.E143p HoriuchiRA012o GolubevS. D113p HrabovskyM.ITD21 Goncharov A. Al 1 lp, Dl 15p HronM. BOOlo, B123p Goncharuk V. V. D016p HubickaZ. D120p IchikiR.A114p KellettBJ.C145p IdaK.B007o KelnykO.I.C001osC149p IdeharaT. B112p KernbichlerW.ITB34 Ido T. BOO80 KheraniE.A.C113p Iguchi H. BOO80 Khomich V.A. A044p, D016p Ilchenko E.P. D036p, El 13p Khotyaintsev M. V. CI 14p Imbeaux F. B009o Khotyaintsev Y. C127p Inagaki S. B140p KhrustalevYu. E121p InutakeM.ITD14 KikuchiY.ITB32 Ionita C. A181p, A182p, BOOlo Kirichenko G.S. D123p, D126p IsaevN.V.A187p,A050p KirillinA.V.E125p Ishizawa A. A012o Kirillov A.A. D177p Isobe M. BOO80 KislovA.Ya.B140p Itoh K. BOO80, B140p KiyanchukMJ. D150p Itoh S.-I. BOO80 KlingerT. BOOlo IvanovA. E031p KlochkoYe.V.D116p Ivanov A.A. BOO60 Klymenko Y. C126p Ivanov A.V. A178p, A177p Kment S. D120p Ivanov I.A. B116p KobayashiM. B012o Ivanova O. A178p, A177p Koepke M. E. IT C13 Ivantsivsky M.V. B116p KojimaC. E134p IvchenkoV.N.C153p Kojima M. BOO80 Izotovl. D113p Kolesnichenko Ya.I. IT B42, James A. ITD11 B020p, B021p, B022p James B. E148p Komori A. B012o, B125p James B.W. E149p Konopka U. E150p JofifrinE.ITB41 KopitovA.D012o Kopp A. E126p, E127p KadolinB.D170p KomevV.A.B113p Kajita S. A154p KotiyukovO.D152p Kalyuzhnaya A.G. A044p Kouprienko D.V. B023p Kaneko T. A114p, A155p, Kourakis I. A040p, A186p, A176p, EOlOo E035p, E036p KantorM.Yu.B023p Kovacevic E. E146p Karas'V.I. D001o,D130p, KovaffkK.B002o D152p,D170p KraemerM.ITAll Karasev V. E034p Krasnoselskikh V. C125p KasashimaY. ITD14 Kravchenko O.Yu. E017p, Kasilov S.V. IT B34 E129p KawP.K.ITBll KawahataK. B007o Kretschmer M. E150p KeidarM.D134p KrikunovS.V.BlBp

    315 3aM. 13 OopMaT 60x90/16 OSJI.-BH^. ApK. 8,02 niflnHcaHo go ppyKy 19.04.06 HaKJia^ 380 Ilojiirpa4)iHHa flinLHimaIT O iM. M.M. EorojiK>6oBa