Kinetic Theory of Dawson Plasma Sheet Model

A kinetic theory of one-dimensional plasma sheet model (Dawson model) is developed. The Vlasov equation, the Landau equation, and the Balescu--Lenard equation corresponding to this model are derived. For the Vlasov equation, it is shown that the linearized Vlasov equation exhibits a typical behavior...

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Bibliographic Details
Published in:Journal of the Physical Society of Japan 2011-08, Vol.80 (8), p.084001-084001-14
Main Authors: Sano, Mitsusada M, Kitahara, Kazuo
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fokker-plank and vlasov equations
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
Plasma simulation
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Summary:A kinetic theory of one-dimensional plasma sheet model (Dawson model) is developed. The Vlasov equation, the Landau equation, and the Balescu--Lenard equation corresponding to this model are derived. For the Vlasov equation, it is shown that the linearized Vlasov equation exhibits a typical behavior of plasmas as in the three-dimensional space. The Landau collision term and the Balescu--Lenard collision term are identically zero. The fact of the vanishing collision term agrees with the behavior of generic one-dimesional systems. In an approximation that the system is in a thermal bath, the derived Landau equation and Balescu--Lenard equation are transformed into the Fokker--Planck equations. Some physical quantities such as thermal conductivity, relaxation rate, etc., are estimated. A discussion on physical meaning of these results, in particular, the zero collision terms, will be given.
ISSN:0031-9015
1347-4073
DOI:10.1143/JPSJ.80.084001