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Hydrodynamic and kinetic representation of the microscopic classic dynamics at the transition on the macroscopic scale

Published online by Cambridge University Press:  02 February 2024

Pavel A. Andreev Open the ORCID record for Pavel A. Andreev [Opens in a new window]
Pavel A. Andreev*
Affiliation:
Department of General Physics, Faculty of Physics, Lomonosov Moscow State University, Moscow 119991, Russian Federation
*
†Email address for correspondence: andreevpa@physics.msu.ru
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Abstract

An open problem of the derivation of the relativistic Vlasov equation for systems of charged particles moving with velocities up to the speed of light and creating the electromagnetic field in accordance with the full set of the Maxwell equations is considered. Moreover, the method of derivation is illustrated on the non-relativistic kinetic model. Independent derivation of the relativistic hydrodynamics is also demonstrated. The key role of these derivations of the hydrodynamic and kinetic equations includes the explicit operator of averaging on the physically infinitesimal volume suggested by L.S. Kuzmenkov.

Keywords

hydrodynamicsmicroscopic modelkinetic theorymean-field approximationrelativistic plasmasplasma dynamics
Type
Research Article
Information
Journal of Plasma Physics , Volume 90 , Issue 1 , June 2024 , 905900108
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Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press

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