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Longitudinal permeability of collisional plasmas under arbitrary degree of degeneration of electron gas

2010/03/04 by A. V. Latyshev, А. В. Латышев, Latyshev, A. V. +2
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #80A99 #82B40 #Advanced Thermodynamics and Statistical Mechanics #Earthquake Detection and Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:80A99 #msc:82B40

paper · pdf · doi:10.48550/arxiv.1003.1131

16 pages, 0 figures

arxiv created 2010/03/04 · openalex publication_date 2010/03/04 · arxiv updated 2010/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Electric conductivity and dielectric permeability of the non-degenerate electronic gas for the collisional plasmas under arbitrary degree of degeneration of electron gas is found. The kinetic equation of Wigner - Vlasov - Boltzmann with collision integral in relaxation form BGK (Bhatnagar, Gross and Krook) in coordinate space is used. Dielectric permeability with using of the relaxation equation in the momentum space has been received by Mermin. Comparison with Mermin's formula has been realized. It is shown, that in the limit when Planck's constant tends to zero expression for dielectric permeability passes in the classical.

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