A new class of exact solutions of the Vlasov equation

被引：26

作者：

Yu, MY ^{[1
]}

Chen, Z

Stenflo, L

机构：

[1] Ruhr Univ Bochum, Inst Theoret Phys 1, D-44780 Bochum, Germany

[2] Umea Univ, Dept Plasma Phys, S-90187 Umea, Sweden

来源：

PHYSICS OF PLASMAS | 2001年 / 8卷 / 12期

关键词：

D O I：

10.1063/1.1416484

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：

A class of exact one-dimensional oscillating solutions of the Vlasov-Poisson system describing a one-component plasma in a parabolic electrostatic potential well is considered. Through a separation of variables procedure, a system of ordinary differential equations describing the moments of the velocity distribution function is obtained. The moment equations can be decoupled at any order from the higher ones without approximations. Oscillating-pattern solutions for the resulting finite and exact systems are found. (C) 2001 American Institute of Physics.

引用

页码：5081 / 5085

页数：5

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