On the singularity of the Vlasov-Poisson system

被引：8

作者：

Zheng, Jian ^{[1
,2
]}

Qin, Hong ^{[1
,2
,3
]}

机构：

[1] Univ Sci & Technol China, CAS Key Lab Basic Plasma Phys, Hefei 230026, Anhui, Peoples R China

[2] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China

[3] Princeton Univ, Plasma Phys Lab, Princeton, NJ 08550 USA

来源：

PHYSICS OF PLASMAS | 2013年 / 20卷 / 09期

关键词：

PLASMA-OSCILLATIONS;

D O I：

10.1063/1.4821831

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 system can be viewed as the collisionless limit of the corresponding Fokker-Planck-Poisson system. It is reasonable to expect that the result of Landau damping can also be obtained from the Fokker-Planck-Poisson system when the collision frequency nu approaches zero. However, we show that the collisionless Vlasov-Poisson system is a singular limit of the collisional Fokker-Planck-Poisson system, and Landau's result can be recovered only as the nu approaches zero from the positive side. (C) 2013 AIP Publishing LLC.

引用

页数：5

共 12 条

[1] THEORY OF CURRENT DRIVE IN PLASMAS [J].