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Relativistic Generation of Vortex and Magnetic Fielda) S
PHYSICS OF PLASMAS 18, 055701 (2011) Relativistic generation of vortex and magnetic fielda) S. M. Mahajan1,b) and Z. Yoshida2 1Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712, USA 2Graduate School of Frontier Sciences, The University of Tokyo, Chiba 277-8561, Japan (Received 24 November 2010; accepted 1 February 2011; published online 8 April 2011) The implications of the recently demonstrated relativistic mechanism for generating generalized vorticity in purely ideal dynamics [Mahajan and Yoshida, Phys. Rev. Lett. 105, 095005 (2010)] are worked out. The said mechanism has its origin in the space-time distortion caused by the demands of special relativity; these distortions break the topological constraint (conservation of generalized helicity) forbidding the emergence of magnetic field (a generalized vorticity) in an ideal nonrelativistic dynamics. After delineating the steps in the “evolution” of vortex dynamics, as the physical system goes from a nonrelativistic to a relativistically fast and hot plasma, a simple theory is developed to disentangle the two distinct components comprising the generalized vorticity—the magnetic field and the thermal-kinetic vorticity. The “strength” of the new universal mechanism is, then, estimated for a few representative cases; in particular, the level of seed fields, created in the cosmic setting of the early hot universe filled with relativistic particle–antiparticle pairs (up to the end of the electron–positron era), are computed. Possible applications of the mechanism in intense laser produced plasmas are also explored. It is suggested that highly relativistic laser plasma could provide a laboratory for testing the essence of the relativistic drive. -
Vortices and Flux Ropes in Electron MHD Plasmas I
Published, Physica Scripta T84, 112-116 (2000) Vortices and Flux Ropes in Electron MHD Plasmas I. R. L. Stenzel,∗ J. M. Urrutia, and M. C. Griskey Department of Physics and Astronomy, University of California, Los Angeles, CA 90095-1547 Laboratory experiments are reviewed which demonstrate the existence and properties of three- dimensional vortices in Electron MHD (EMHD) plasmas. In this parameter regime the electrons form a magnetized fluid which is charge-neutralized by unmagnetized ions. The observed vortices are time-varying flows in the electron fluid which produce currents and magnetic fields, the latter superimposed on a uniform dc magnetic field B0. The topology of the time-varying flows and fields can be described by linked toroidal and poloidal vector fields with amplitude distributions ranging from spherical to cylindrical shape. Vortices can be excited with pulsed currents to electrodes, pulsed currents in magnetic loop antennas, and heat pulses. The vortices propagate in the whistler mode along the mean field B0. In the presence of dissipation, magnetic self-helicity and energy decay at the same rate. Reversal of B0 or propagation direction changes the sign of the helicity. Helicity injection produces directional emission of vortices. Reflection of a vortex violates helicity conservation and field-line tying. Part I of two companion papers reviews the linear vortex properties while the companion Part II describes nonlinear EMHD phenomena and instabilities. I. INTRODUCTION helicity generation by instabiliites are reviewed in Part II. Vortices are common phenomena in fluids, gases, and plasmas. They often arise from velocity shear such as II. EXPERIMENTAL ARRANGEMENT occur in flows past obstacles (for example, von Kar- man vortex streets [1], Kelvin-Helmholtz instabilities [2], drift waves [3], ion temperature gradient driven vor- The experiments are performed in a large laboratory tices [4], black auroras [5]) or differential rotations (cy- plasma device sketched schematically in 1. -
3-Dimensional Evolution of a Magnetic Flux Tube Emerging Into the Solar Atmosphere T. Magara
NATO Advanced Research Workshop 3-dimensional Evolution of a Magnetic Flux Tube Emerging into the Solar Atmosphere T. Magara (Montana State University, USA) September 17, 2002 (Budapest, Hungary) We focus on three solar regions. Each region has a different type of background gas layers with which magnetic field interacts. • The corona (over the photosphere) ... low-density background gas layers • The photosphere ... abrupt change of background gas layers • The convection zone ... high-density background gas layers Corona : Because the background gas pressure is weaker than mag- netic pressure, the magnetic field continues to expand outward. (magnetic-field dominant region) A well-developed magnetic structure is formed. This structure is macroscopically static (force-free), however • outermost area... dynamic (solar wind) • prominence area... mass motion along B • coronal loops... mass motion along B Sometimes explosive events (relaxation of magnetic energy) happen in such a well-developed structure. These events are • flares (produce high energy particles & electromagnetic waves) • prominence eruptions (cool material erupts and disappears) • coronal mass ejections (large amount of mass is ejected into IP) To study various coronal processes, we initially assume a skeleton of magnetic field which provides a model of well-developed coronal structure. Then we in- vestigate its stability and evolution at both linear and nonlinear phases. Input stage: impose various type of perturbations to the system according to the primary purpose of studies -
Magnetic Helicity Reversal in the Corona at Small Plasma Beta
The Astrophysical Journal, 869:2 (9pp), 2018 December 10 https://doi.org/10.3847/1538-4357/aae97a Preprint typeset using LATEX style emulateapj pab v. 21/02/18 Magnetic Helicity Reversal in the Corona at Small Plasma Beta Philippe-A. Bourdin1, , Nishant K. Singh2;3, , Axel Brandenburg3;4;5;6, 1 Space Research Institute, Austrian Academy of Sciences, Schmiedlstr. 6, A-8042 Graz, Austria 2 Max-Planck-Institut f¨urSonnensystemforschung, Justus-von-Liebig-Weg 3, D-37077 G¨ottingen,Germany 3 Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden 4 JILA and Department of Astrophysical and Planetary Sciences, University of Colorado, Boulder, CO 80303, USA 5 Department of Astronomy, AlbaNova University Center, Stockholm University, SE-10691 Stockholm, Sweden and 6 Laboratory for Atmospheric and Space Physics, University of Colorado, Boulder, CO 80303, USA Received 2018 April 11; revised 2018 October 17; accepted 2018 October 17; published 2018 December 5 Abstract Solar and stellar dynamos shed small-scale and large-scale magnetic helicity of opposite signs. However, solar wind observations and simulations have shown that some distance above the dynamo both the small- scale and large-scale magnetic helicities have reversed signs. With realistic simulations of the solar corona above an active region now being available, we have access to the magnetic field and current density along coronal loops. We show that a sign reversal in the horizontal averages of the magnetic helicity occurs when the local maximum of the plasma beta drops below unity and the field becomes nearly fully force free. Hence, this reversal is expected to occur well within the solar corona and would not directly be accessible to in-situ measurements with the Parker Solar Probe or SolarOrbiter. -
NPRC) VIP List, 2009
Description of document: National Archives National Personnel Records Center (NPRC) VIP list, 2009 Requested date: December 2007 Released date: March 2008 Posted date: 04-January-2010 Source of document: National Personnel Records Center Military Personnel Records 9700 Page Avenue St. Louis, MO 63132-5100 Note: NPRC staff has compiled a list of prominent persons whose military records files they hold. They call this their VIP Listing. You can ask for a copy of any of these files simply by submitting a Freedom of Information Act request to the address above. The governmentattic.org web site (“the site”) is noncommercial and free to the public. The site and materials made available on the site, such as this file, are for reference only. The governmentattic.org web site and its principals have made every effort to make this information as complete and as accurate as possible, however, there may be mistakes and omissions, both typographical and in content. The governmentattic.org web site and its principals shall have neither liability nor responsibility to any person or entity with respect to any loss or damage caused, or alleged to have been caused, directly or indirectly, by the information provided on the governmentattic.org web site or in this file. The public records published on the site were obtained from government agencies using proper legal channels. Each document is identified as to the source. Any concerns about the contents of the site should be directed to the agency originating the document in question. GovernmentAttic.org is not responsible for the contents of documents published on the website. -
Novel Methods to Determine and Use the Magnetic Vector Potential in Numerical General Relativistic Magnetohydrodynamics
Rochester Institute of Technology RIT Scholar Works Theses 8-14-2018 Novel Methods to Determine and Use the Magnetic Vector Potential in Numerical General Relativistic Magnetohydrodynamics Zachary J. Silberman [email protected] Follow this and additional works at: https://scholarworks.rit.edu/theses Recommended Citation Silberman, Zachary J., "Novel Methods to Determine and Use the Magnetic Vector Potential in Numerical General Relativistic Magnetohydrodynamics" (2018). Thesis. Rochester Institute of Technology. Accessed from This Dissertation is brought to you for free and open access by RIT Scholar Works. It has been accepted for inclusion in Theses by an authorized administrator of RIT Scholar Works. For more information, please contact [email protected]. Rochester Institute of Technology Ph.D. Dissertation Novel Methods to Determine and Use the Magnetic Vector Potential in Numerical General Relativistic Magnetohydrodynamics Author: Advisor: Zachary J. Silberman Joshua Faber A Dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Astrophysical Sciences and Technology School of Physics and Astronomy College of Science August 14, 2018 Rochester Institute of Technology Ph.D. Dissertation Novel Methods to Determine and Use the Magnetic Vector Potential in Numerical General Relativistic Magnetohydrodynamics Author: Advisor: Zachary J. Silberman Joshua Faber A Dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Astrophysical Sciences and Technology School of Physics and Astronomy College of Science Approved by Dr. Andrew Robinson Date Director, Astrophysical Sciences and Technology Certificate of Approval Astrophysical Sciences and Technology R·I·T College of Science Rochester, NY, USA The Ph.D. Dissertation of Zachary J. -
The Fascist Threat to the U.S. Presidency 3 Sir Richard Loves the Virus Schlanger: One of the Areas in Which It’S Especially Interesting Is U.S.-China Relations
SUBSCRIBE TO Executive Intelligence Review EIR EIROnline EIR Executive Intelligence Review EIROnline gives subscribers one of the June 12, 2020 Vol. 47 No. 24 www.larouchepub.com $10.00 most valuable publications for policymakers— the weekly journal that has established Lyndon LaRouche as the most authoritative economic Exxecutiveecutive IIntelligence RevieReview EOctOctoboberer 3311,, 22010144 VVool.l. 44I11 NNoo.. 4433 wwwRwww.la.larrououchecheppuubb.c.coomm $10$10.0.000 forecaster in the world today. Through this publication and the sharp interventions of the LaRoucheLaRouchePPACAC IssuesIssues EmeEmerrgencygency WWarar PlanPlan AgainstAgainst EbolaEbola AsianAsian InvestmentInvestment BankBank WWillill FinanceFinance GGrreateat PPrrojectsojects PutinPutin SpeaksSpeaks thethe TTruthruth aboutabout NNAATOTO WWarar PPrrovocationsovocations LaRouche Movement, we are changing TThehe NeNwew Sil Sk iRol k ad:Ro Mankad: Manind k ind politics worldwide, day by day. IIss thethe OnlOny lCrye Catriveea tSpiveeciSeps!eci es ! EIR Online includes the entire magazine in PDF form, plus up-to-the-minute world news. EIRDAILY ALERT SERVICE EIR’s new Daily Alert Service provides critical The Fascist Threat to news updates and analysis, based on EIR’s 40-year unparalleled track record in covering global developments. The U.S. Presidency SUBSCRIBE (e-mail address must be provided.) EIROnline EIR DAILY ALERT SERVICE $ 360 for one year $50 one month (introductory) For mobile users, EIR and $ 180 for six months $150 three months EIR Daily Alert Service $ 120 for four months $300 six months are available in html $ 90 for three months $600 one year (includes EIR Online) $ 60 for two months I enclose $ _________ check or money order Make checks payable to Name _______________________________________________________________________________ EIR News Service Inc. -
Tickling the Sleeping Dragon's Tail: Should We Resume Nuclear Testing?
TICKLING THE SLEEPING DRAGON’S TAIL Should We Resume Nuclear Testing? National Security Report Michael Frankel | James Scouras | George Ullrich TICKLING THE SLEEPING DRAGON’S TAIL Should We Resume Nuclear Testing? Michael Frankel James Scouras George Ullrich Copyright © 2021 The Johns Hopkins University Applied Physics Laboratory LLC. All Rights Reserved. “Tickling the sleeping dragon’s tail” is a metaphor for risking severe consequences by taking an unnecessary provocative action. Its origin can be traced to the last year of the Manhattan Project at Los Alamos National Laboratory (LANL) in 1946. When investigating the critical mass of plutonium, LANL scientists usually brought two halves of a beryllium reflecting shell surrounding a fissile core closer together, observing the increase in reaction rate via a scintillation counter. They manually forced the two half-shells closer together by gripping them through a thumbhole at the top, while as a safety precaution, keeping the shells from completely closing by inserting shims. However, the habit of Louis Slotin was to remove the shims and keep the shells separated by manually inserting a screwdriver. Enrico Fermi is reported to have warned Slotin and others that they would be “dead within a year” if they continued this procedure. One day the screwdriver slipped, allowing the two half-shells to completely close, and the increased reflectivity drove the core toward criticality. Slotin immediately flipped the top half-shell loose with a flick of the screwdriver, but by then he had endured -
Inverse Cascade Magnetic Helicity
J. Fluid Mech. (1975), vol. 68, part 4, pp. 769-778 769 Printed in Great Britain . Possibility of an inverse cascade of magnetic helicity in magnetohydrodynamic turbulence By U. FRISCH, A. POUQUET, Centre National de la Recherche Scientifique, Observatoire de Nice, France J. LBORAT AND A. MAZURE Universite Paris VII; Observatoire de Meudon, France https://www.cambridge.org/core/terms (Received 2 November 1973 and in revised form 10 October 1974) Some of the consequences of the conservation of magnetic helicity sa. bd3r (a = vector potential of magnetic field b) for incompressible three-dimensional turbulent MHD flows are investigated. Absolute equilibrium spectra for inviscid infinitely conducting flows truncated at lower and upper wavenumbers k,,, and k,,, are obtained. When the total magnetic helicity approaches an upper limit given by the total energy (kinetic plus magnetic) divided by the spectra of magnetic energy and helicity are strongly peaked near kmin;in addition, when the cross-correlations between the , subject to the Cambridge Core terms of use, available at velocity and magnetic fields are small, the magnetic energy density near kmin greatly exceeds the kinetic energy density. Several arguments are presented in favour of the existence of inverse cascades of magnetic helicity towards small wavenumbers leading to the generation of large-scale magnetic energy. 28 Feb 2018 at 23:14:04 1. Introduction , on It is known that turbulent flows which are not statistically invariant under plane reflexions may be important for the generation of magnetic fields; for example, Steenbeck, Krause & Radler (1966) have shown within the framework of the kinematic dynamo problem (prescribed velocity fields) that in helical flows, i.e. -
The Transport of Relative Canonical Helicity
MANUSCRIPT (to be published in Phys. Plasmas) JULY 2012 The transport of relative canonical helicity S. You Aeronautics & Astronautics, University of Washington, Seattle, WA 98195, USA The evolution of relative canonical helicity is examined in the two-fluid magnetohydrodynamic formalism. Canonical helicity is defined here as the helicity of the plasma species’ canonical momentum. The species’ canonical helicity are coupled together and can be converted from one into the other while the total gauge-invariant relative canonical helicity remains globally invariant. The conversion is driven by enthalpy differences at a surface common to ion and electron canonical flux tubes. The model provides an explanation for why the threshold for bifurcation in counter-helicity merging depends on the size parameter. The size parameter determines whether magnetic helicity annihilation channels enthalpy into the magnetic flux tube or into the vorticity flow tube components of the canonical flux tube. The transport of relative canonical helicity constrains the interaction between plasma flows and magnetic fields, and provides a more general framework for driving flows and currents from enthalpy or inductive boundary conditions. I. INTRODUCTION Previous treatments of canonical helicity—also known as generalized vorticity 1, self-helicity 2, generalized helicity 3, or fluid helicity 4—concluded that the canonical helicities of each species were invariant, independent from each other. Assuming closed canonical circulation flux tubes inside singly-connected volumes, and arguing for selective decay arguments in the presence of dissipation, it was shown that canonical helicity is a constant of the system stronger than magnetofluid energy. Generalized relaxation theories could therefore minimize magnetofluid energy for a given canonical helicity and derive stationary relaxed states. -
Arxiv:1908.07394V3 [Astro-Ph.HE] 16 Apr 2020
Electromagnetic Helicity in Classical Physics Amir Jafari∗ Johns Hopkins University, Baltimore, USA This pedagogical note revisits the concept of electromagnetic helicity in classical systems. In particular, magnetic helicity and its role in mean field dynamo theories is briefly discussed highlighting the major mathe- matical inconsistency in most of these theories—violation of magnetic helicity conservation. A short review of kinematic dynamo theory and its classic theorems is also presented in the Appendix. I. INTRODUCTION covariant under Lorentz transformations and its form is inde- pendent of gauge. However, the helicity four-vector is gauge In classical physics, helicity is usually defined as the in- dependent and are obviously so both its timelike component, ner product of two vector fields integrated over a volume. An helicity density, and spacelike component, helicity flux. The example is the cross helicity; scalar product of magnetic and gauge dependence of helicity density has motivated several velocity fields integrated over a volume in an electrically con- researchers to re-define it in slightly different ways to circum- ducting fluid. If one of the vector fields is the curl of the other, vent the gauge issue. Nevertheless, one might look at helicity then helicity measures the structural complexity—twistedness as a concept similar to potential. No matter what potential is and knottedness—of the curl field. For instance, magnetic he- chosen for the ground level of a system, the potential differ- R 3 ence between two points retains its physical meaning. Once licity V A:Bd x measures the twistedness and knottedness of the magnetic field B = r × A. -
Magnetic Helicity Content in Solar Wind Flux Ropes
Universal Heliophysical Processes Proceedings IAU Symposium No. 257, 2008 c 2009 International Astronomical Union N. Gopalswamy & D.F. Webb, eds. doi:10.1017/S1743921309029603 Magnetic helicity content in solar wind flux ropes Sergio Dasso Instituto de Astronom´ıa y F´ısica del Espacio (IAFE), CONICET-UBA and Departamento de F´ısica, FCEN-UBA, Buenos Aires, Argentina email: [email protected] Abstract. Magnetic helicity (H) is an ideal magnetohydrodynamical (MHD) invariant that quantifies the twist and linkage of magnetic field lines. In magnetofluids with low resistivity, H decays much less than the energy, and it is almost conserved during times shorter than the global diffusion timescale. The extended solar corona (i.e., the heliosphere) is one of the physical sce- narios where H is expected to be conserved. The amount of H injected through the photospheric level can be reorganized in the corona, and finally ejected in flux ropes to the interplanetary medium. Thus, coronal mass ejections can appear as magnetic clouds (MCs), which are huge twisted flux tubes that transport large amounts of H through the solar wind. The content of H depends on the global configuration of the structure, then, one of the main difficulties to estimate it from single spacecraft in situ observations (one point - multiple times) is that a single spacecraft can only observe a linear (one dimensional) cut of the MC global structure. Another serious difficulty is the intrinsic mixing between its spatial shape and its time evolution that occurs during the observation period. However, using some simple assumptions supported by observations, the global shape of some MCs can be unveiled, and the associated H and mag- netic fluxes (F ) can be estimated.