Nonlinear and Turbulent Processes in Physics

Volume 1

Nonlinear Effects in Plasma Physics, Astrophysics, and Elementary Particle Theory

Edited by

R. Z. Sagdeev Institute for Space Research USSR Academy of Sciences

Proceedings of the Second International Workshop on Nonlinear and Turbulent Processes in Physics, Kiev, USSR, 10-25 October 1983

UNIVERSITATSBIBUOTHEK HANNOVER TECHNISCHE INFORMATIONSBIBLIOTHEK

h#harwood academic publishers QD chur • london • paris • new york CONTENTS

Organizing Committee -... xvii Foreword. R. Z. Sagdeev xix

Volume 1 Nonlinear Effects in Plasma Physics, Astrophysics, and Elementary Particle Theory

Electromagnetic Vortices in a Plasma. G. D. Aburdzhaniya, A. B. Mikhailovskii, O. G. Onishchenko, A. P. Churikov, and S. E. Sharapov 1 Secondary Waves in Weakly Turbulent Plasma and Magnetics. A. I. Akhiezer, V. F. Aleksin, and V. D. Khodusov 7 On the Problem of Color Observability. B. A. Arbuzov 15 Dissipative Structures in a Turbulent Plasma. A. S. Bakai and V. I. Maslov 23 The Ponderomotive Force of an RF Field in a Medium with Frequency and Space Dispersion. Yu. S. Barash and V. I. Karpman 37 Strong Langmuir Turbulence and Particle Acceleration in the Plasma Corona. G. M. Batanov, V. A. Ivanov, and I. A. Kossyi .... 45 On the Stability of Minkowski Space-Time and Dynamical Chaos in Cosmology. O. I. Batsula 57 Nonlinear Photons and Dynamical Chaos in the Higgs Model. O. I. Batsula and N. N. Kozhukhovskii 63 Self-Pulsing in Stimulated Scattering Processes. K. Baumgartel, U. Motschmann, and K. Sauer 71 Phase Transitions and Fluctuations in the Early Universe. Yu. A. Beletskii 79 Computer Simulation of Coherent Structures in Turbulent Plasma. N. G. Belova, V. A. Panchenko, and Yu. S. Sigov 85 Electrodynamics of a Pulsar's Magnetosphere. V. S. Beskin, A. V. Gurevich, and Ya. N. Istomin 95 vi CONTENTS VOLUME 1

Transverse Transport of Charged Carriers in a Strong Magnetic Field. L. I. Boiko and O. G. Balev 109 The Propagation of Multifrequency Light Pulses in Resonant Multilevel Media. L.A. Bol'shov, T. K. Kirichenko, V. V. Likhanskii, and M. I. Persiantsev 117 Explosive Development of the Turbulent Spectrum Due to the Decay Interaction. B. N. Breizman and Yu. M. Rozenraukh 129 Exact Solutions for Magnetohydrodynamics Equations in the Vicinity of Critical Points. S. V. Bulanov and M. A. Ol'shanetskii ... 137 An Analytical Description of Hydrodynamic Instabilities. S. V. Bulanov and P. V. Sasorov 149 Nonlinear Processes in Space Plasmas. B. Buti 159 Evolution of the Modified Explosive Instability in Nonequilibrium Media. T. A. Davydova 177 Nonlinear Interactions of Strong Electromagnetic Waves with a Nonuniform Plasma. V. V. Demchenko .• 181 Nonlinear and Turbulent Processes in Galaxy Formation. A. G. Doroshkevich 187 Two-Dimensional Self-Focusing of Wave Beams Propagating in the Transition Layers of the Inhomogeneous Medium. N. S. Erokhin and A. P. Fadeev 193 Explosive Disruption of the Current Sheet. A. G. Frank 201 •Gluon Condensation in Quantum Chromodynamics. R. Fukuda 213 The Generation of Ultrarelativistic Electrons by Shock Waves and Their Synchrotron Radiation. A. A. Galeev 219 Nonstationary Self-Focusing in Laser-Produced Plasmas. L. M. Gorbunov 233 Dynamics of a Nonequilibrium Magnetized Plasma in Weakly Stochastic Fields. A. V. Gurevich, K. P. Zybin, and Ya. N. Istomin 241 Unitarity in High-Energy Hadron Scattering. L. L. Jenkovszky, B. V. Struminski, and A. N. Wall 249 Nonlinear Plasma Dynamics in a Strong Magnetic Field. B. B. Kadomstev and O. P. Pogutse 257 Nonlinear Skin Phenomena in Plasma. A. S. Kingsep, Yu. V. Mokhov, and K. V. Chukbar 267 Langmuir Turbulence in the Deep Throat. A. S. Kingsep, Yu. V. Mokhov, L. I. Rudakov, K. V. Chukbar, and V. V. Yan'kov 275 CONTENTS VOLUME 1 vii

A Numerical Simulation of the Collapse and Turbulence of Lower- Hybrid Waves. A. P. Kirpichnikov, R. Z. Sagdeev, V. I. Shevchenko, G. I. Solov'ev, and I. U. Yusupov 281 On the Influence of Gyrofrequency Turbulence upon the Maser Effect on the =21 cm Line. E.B. Kleiman and I. M. Oiringel' 309 Nonlinear Stationary Fluctuation Spectra in a Collisional Plasma. O. D. Kocherga and P. P. Sosenko 313 The Effect of Nonlinearity and Dispersion on the Evolution of Packets of Spiral Density Waves. V. I. Korchagin and P. I. Korchagin 319 On Some Problems of Mean-Field Theories. F. Krause 325 Shock Waves and the Origin of Cosmic X-Ray Emission. V. A. Krol' 331 The Collapse of Acoustic Waves in Dispersive Media. E. A. Kuznetsov, S. L. Musher, and A. V. Shafarenko 335 •Stable Three-Dimensional Envelope Solitons. E. W. Laedke and K. H. Spatschek 351 •Self-Consistency Effects in Quasilinear Theory: A Model for Turbulent Trapping. G. Laval and D. Pesme 355 Some Long-Wavelength Nonneutral Plasma Instabilities. V. G. Leiman and O. B. Ovsyannikova 361 Thermal Convection and Generation of Large-Scale Magnetic Fields in the Inner Regions of Accretion Discs around Black Holes. J. G. Lominadze and G. D. Chagelishvili 367 The Role of Relativistic Effects in the Absorption of Strong Laser Radiation by Plasma. J. G. Lominadze, E. G. Tsikarishvili, and S. S. Moiseev 381 The Role of Nonlinear Processes in the Formation of the Radio- spectrum of Pulsars. G. Z. Machabeli 387 On the Dynamics of Langmuir Wave Collapse. V. M. Malkin 393 The Instability of a Shear Flow in the Presence of the Coriolis Force. M. A. Mal'kov 401 Langmuir Collapse and Nonlinear Interaction of Plasmons. M. A. Mal'kov, R. Z. Sagdeev, V. D. Shapiro, and V. I. Shevchenko 405 The Nonlinear Theory of Parametric Kinetic Instabilities of Plasmas. V. S. Mikhailenko and K. N. Stepanov 421 On the Nonlinear Theory of the Generation of a Magnetic Field in a Plasma. A. B. Mikhailovskii and G. I. Suramlishvili 437 The Propagation of a Wave Beam in an Opaque Plasma. S. S. Moiseev, V. V. Mukhin, V. E. Novikov, and R. Z. Sagdeev .. 443 viii CONTENTS VOLUME 1

The Theory of Wave Radiation by the Langmuir Soliton. I. G. Murusidze, N. L. Tsintsadze, and V. D. Tskhakaya 451 Nonlinear Alfven and Magnetoacoustic Waves in Electron- Positron Plasma. A. D. Pataraya and G. Z. Kokrashvili 455 Anamalous Absorption of Electromagnetic Wave Energy Near the Lower-Hybrid Resonance. V. N. Pavlenko, V. G. Panchenko, and S. M. Revenchuk 459 The Dynamics of Cosmic Rays in Random Magnetic Fields. V. S. Ptuskin 465 On Nonlinear Dynamo Models. K.-H. Radler 469 The Effect of Inhomogeneity on Magnetized Plasma Turbulence and the Transition to Strong Turbulence. A. M. Rubenchik 473 Turbulent Dynamo. A. A. Ruzmaikin 481 Asymptotic Solution of the Mean Field Dynamo Problem. A. A. Ruzmaikin, D. D. Sokolov, and A. M. Shukurov 489 Rich Clusters and Superclusters Are Observable Results of Large- Scale Motions in the Universe. S. F. Shandarin 495 Pancakes, Hot Gas, and Microwave Distortions. A. S. Szalay, J. R. Bond, and J. Silk 499 Advances in the Theory of Plasma Ion-Acoustic Turbulence. V. P. Silin 507 The Statistical Theory of Plasma Turbulence. A. G. Sitenko 529 The Kinetic Description of Convective Cells in Plasmas. A. G. Sitenko and P. P. Sosenko 543 Fine Structure in Solar Decametric Radiation. G. Thejappa, Ch. V. Sastry, and N. Gopalswamy 547 Formation of Heat and Particle Fluxes in Anisotropic Plasma under the Influence of the Ponderomotive Force. G. D. Tomaradze and N. L.Tsintsadze 563 Radiative Resonant Interactions in Plasma (The Generation of Fast Particle Flows, Cosmic Ray Spectra, and the Radiative Corrections to the Landau Damping). V. N. Tsytovich 567 High Frequency Self-Oscillations in Semiconductors under the Impact Ionization. V. V. Vladimirov, V. N. Gorshkov, and P. M. Goloviftskii 601 Nonlinear Stationary States of the Collisional Drift-Wave In- stability Taking Temperature Fluctuations into Account. A. A. Vodyanitskii and S. S. Moiseev 607 •Numerical Techniques for Nonlinear Processes in Plasma. T. Watanabe and K. Hamamatsu 617 CONTENTS VOLUME 2 ix

Enhanced Scattering Processes in Plasma-Molecular Systems. I. P. Yakimenko 623 Parametric Instabilities in Bounded Plasma-Molecular Systems. I. P. Yakimenko and A. G. Zagordnyi 633 The Dynamics of Magnetic Islands in Current Sheets. L. M. Zelenyi 643 Double Stimulated Mandelshtam-Brillouin Scattering as a Cause of Backreflection. A. A. Zozulya, V. P. Silin, and V. T. Tikhonchuk 649

Volume 2 Nonlinear Effects in Various Areas of Science

On Localized Vortex Formations in an Ideal Fluid. A. A. Abrashkin and E. I. Yakubovich 655 A Theory of Phase Transitions in Crystals. I. A. Akhiezer, L. N. Davydov, and Z. A. Spol'nik 659 Experimental Discovery and Investigation of Rossby Solitons. S. V. Antipov, M. V. Nezlin, E. N. Snezhkin, and A.S. Trubnikov 665 Three-Dimensional Solitons of Vector Fields: Their Stability and Applications to Magnetism. I. V. Bar'yakhtar, B. A. Ivanov, and A. L. Sukstanskii 679 The Influence of Intense Internal Waves on the Wind-wave Spectra. A. Ya. Basovich, V. V. Bakhanov, and V. I. Talanov 685 The Peierls-Frohlich Problem. E. D. Belokolos 695 Spatially Nonuniform Structures in Condensed Matter. E. D. Belotskii, B. D. Lev, and P. M. Tomchuk 701 Finite-Gap Solutions and Whitham Equations in the Nonlinear Dynamics of a Uniaxial Ferromagnet. A. E. Borovik and S. I. Kulinich 705 The Deceleration of the Davydov Soliton. L. S. Brizhik 713 The Fluctuation Mechanism of the Formation of Spatiotemporal Structures in Chemically Active Systems. A. V. Chalyi, I. V. Nezhinskii, and V. M. Sysoev 719 Solitons in Molecular Systems. A. S. Davydov 731

Dynamical Solitons of the One-Dimensional Ferromagnet CsNif3 in the Longitudinal Magnetic Field. I. P. Dzyub and Yu. E. Zerov ... 753