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Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 9, Pages 1564–1582 (Mi zvmmf10774)  

Analytical solution of a plasma oscillation problem in a half-space subject to diffusive boundary conditions

A. V. Latyshev, S. Sh. Suleimanova

Moscow State Regional University, Moscow, Russia

Abstract: The boundary value problem on the behavior (oscillations) of electron plasma with an arbitrary degree of degeneracy of the electron gas in the half-space subject to diffusive boundary conditions is solved analytically. The kinetic Boltzmann–Vlasov equation with the Bhatnagar–Gross–Krook (BGK) collision integral and the Maxwell equation for the electric field are used. The distribution of electrons and the electric field inside the plasma are obtained as expansions in the eigensolutions of the original system of equations. The coefficients of these equations are found using the boundary conditions.

Key words: Boltzmann–Vlasov equation, Maxwell equation, collision frequency, electromagnetic field, Drude, Debye, and van Kampen modes, dispersion function, Riemann boundary value problem.

DOI: https://doi.org/10.31857/S004446690002534-8

References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2018, 58:9, 1510–1530

Bibliographic databases:

UDC: 519.634
Received: 03.11.2016
Revised: 14.02.2018

Citation: A. V. Latyshev, S. Sh. Suleimanova, “Analytical solution of a plasma oscillation problem in a half-space subject to diffusive boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018), 1564–1582; Comput. Math. Math. Phys., 58:9 (2018), 1510–1530

Citation in format AMSBIB
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