Kinetic Theory of Dawson Plasma Sheet Model
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概要
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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.
- 2011-08-15
著者
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Kitahara Kazuo
Department Of Applied Physics Faculty Of Science Tokyo Institute Of Technology
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Sano Mitsusada
Graduate School Of Human And Environmental Studies Kyoto University
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Kitahara Kazuo
Department of Physics, International Christian University, Mitaka, Tokyo 181-8585, Japan
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