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

V.V. Kocharovsky^a, b, V.V. Kocharovsky^a, V.Ju. Martyanov^a, S.V. Tarasov^a
^aFederal Research Center A.V. Gaponov-Grekhov 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/
Web of Science

000396007200001
Scopus

2-s2.0-85014950043
ADS NASA

2016PhyU...59.1165K
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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 15th, June 2016, revised: 16th, August 2016, accepted: 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 (24) ↓ Similar articles (3)

Nechaev A A, Kuznetsov A A, Kocharovsky V V J. Plasma Phys. 89 (6) (2023)
Koryagin S A Astron. Lett. 49 811 (2023)
Nechaev A A, Kocharovsky V V et al Jetp Lett. 117 214 (2023)
Kuznetsov A A, Nechaev A A et al J. Exp. Theor. Phys. 137 966 (2023)
Garasev M A, Nechaev A A et al J. Plasma Phys. 88 (3) (2022)
Garasev M A, Kocharovsky V V et al Geomagn. Aeron. 62 S10 (2022)
Stepanov A N, Garasev M A et al High Temp 60 287 (2022)
Kuznetsov A A, Kocharovskii V V et al Plasma Phys. Rep. 48 973 (2022)
Garasev M A, Nechaev A A et al Geomagn. Aeron. 62 182 (2022)
Mingalev O, Setsko P et al 7 12 (2021)
Kocharovsky V V, Kocharovsky V V, Nechaev A A Dokl. Phys. 66 9 (2021)
Mingalev O, Setsko P et al 7 11 (2021)
Garasev M A, Derishev E V Radiophys Quantum El 63 909 (2021)
Neukirch T, Wilson F, Allanson O J. Plasma Phys. 86 (3) (2020)
Nechaev A A, Garasev M A et al Plasma Phys. Rep. 46 765 (2020)
Stepanov A N, Garasev M A et al 2020 International Conference Laser Optics (ICLO), (2020) p. 1
Wang R, Vasko I Y, Artemyev A V 27 (6) (2020)
Nechaev A A, Garasev M A et al Radiophys Quantum El 62 830 (2020)
Kocharovsky V V, Kocharovsky V V et al Astron. Lett. 45 551 (2019)
Neukirch T, Wilson F, Allanson O Plasma Phys. Control. Fusion 60 014008 (2018)
Garasev M A, Derishev E V Radiophys Quantum El 60 931 (2018)
Lukin A, Vasko I et al 25 (1) (2018)
Borodachev L V, Garasev M A et al Radiophys Quantum El 59 991 (2017)
Kocharovsky V V, Kocharovsky V V et al J. Phys.: Conf. Ser. 932 012019 (2017)