MORE UNIFORM PERTURBATION THEORY OF VLASOV EQUATION

被引:12
作者
LEWAK, GJ
机构
[1] Department of Applied Electrophysics, Institute for Pure and Applied Physical Sciences, University of California, San Diego, La Jolla
基金
美国国家航空航天局;
关键词
D O I
10.1017/S0022377800004347
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The Vlasov—Poisson equations are reformulated by applying an arbitrary transformation to the velocity variable in such a way that perturbation theory of the transformed equations does not exhibit the customary secularity in time (or space) in second or higher order. The lowest order approximation of the new formulation is discussed and compared with conventional results. The source of the non-uniformity appears to be the divergence of Particle trajectories as calculated by perturbation methods, from the exact ones after long times. The transformation which allows one to follow the particle trajectories is a transformation to a frame of reference moving with a plasma test particle in the self-consistent field. © 1969, Cambridge University Press. All rights reserved.
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页码:243 / &
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