On the 100th anniversary of the birth of V.L. Ginzburg. Reviews of topical problems

The analytical theory of self-consistent current structures in a collisionless plasma

 a, b,  a,  a,  a
a Federal Research Center Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation
b Department of Physics, Texas A&M University, College Station, Texas, USA

The most-studied classes of exact solutions of Vlasov—Maxwell equations for stationary neutral current structures in a collisionless relativistic plasma are reviewed which allow the particle distribution functions (PDFs) to be chosen at will. A general classification is presented of the current sheets and filaments described by the method of invariants of motion of particles whose PDF is symmetric in a certain way in coordinate and momentum spaces. The possibility is discussed of using these explicit solutions to model the observed and/or expected features of the current structures in cosmic and laboratory plasmas. Also addressed are how the magnetic field forms and the analytical description of the so-called Weibel instability in a plasma with an arbitrary PDF.

Fulltext is available at IOP
Keywords: neutral current structures, collisionless relativistic plasma, integrals of motion, kinetic theory, magnetosphere
PACS: 52.30.−q, 52.35.−g, 94.30.−d (all)
DOI: 10.3367/UFNe.2016.08.037893
Citation: Kocharovsky V V, Kocharovsky V V, Martyanov V Ju, Tarasov S V "The analytical theory of self-consistent current structures in a collisionless plasma" Phys. Usp. 59 1165–1210 (2016)
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	author = {V. V. Kocharovsky and V. V. Kocharovsky and V. Ju. Martyanov and S. V. Tarasov},
	title = {The analytical theory of self-consistent current structures in a collisionless plasma},
	publisher = {Physics-Uspekhi},
	year = {2016},
	journal = {Phys. Usp.},
	volume = {59},
	number = {12},
	pages = {1165-1210},
	url = {},
	doi = {10.3367/UFNe.2016.08.037893}

Received: 15th, June 2016, revised: 16th, August 2016, 21st, August 2016

Оригинал: Кочаровский В В, Кочаровский В В, Мартьянов В Ю, Тарасов С В «Аналитическая теория самосогласованных токовых структур в бесстолкновительной плазме» УФН 186 1267–1314 (2016); DOI: 10.3367/UFNr.2016.08.037893

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