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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2010 Volume 13, Number 3, Pages 76–85 (Mi sjim626)

This article is cited in 2 papers

An analytic solution of the Vlasov–Maxwell equations in the skin effect problem with electron-electron collisions

A. V. Latyshev, T. V. Tereshina, A. A. Yushkanov

Moscow Region State University, Moscow, RUSSIA

Abstract: We solve the skin effect problem analytically in the case that electron-electron collisions start affecting the properties of a Maxwell plasma. We apply a two-parameter kinetic equation to take these collisions into account. We find analytic expressions for the electric field, electron distribution, and impedance accounting for the collisions. We analyze impedance near the plasma resonance.

Keywords: mirror scattering, impedance, two-parameter kinetic equation, skin effect, plasma resonance.

UDC: 519.6+537.84

Received: 27.08.2009
Revised: 15.03.2010


 English version:
Journal of Applied and Industrial Mathematics, 2011, 5:3, 374–382

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