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
S.V. Tarasova aFederal Research Center Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation bDepartment 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.
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)