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2016

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December

  

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.

Text can be downloaded in Russian. English translation is available here.
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
URL: https://ufn.ru/en/articles/2016/12/b/
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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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

References (266) Cited by (5) Similar articles (3) ↓

  1. L.M. Zelenyi, H.V. Malova et alThin current sheets: from the work of Ginzburg and Syrovatskii to the present day59 1057–1090 (2016)
  2. V.V. Zheleznyakov, E.Ya. Zlotnik et alDouble plasma resonance аnd its manifestations in radio astronomy59 997–1020 (2016)
  3. A.V. Gurevich, K.P. Zybin “Large-scale structure of the Universe. Analytic theory.38 687–722 (1995)

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