How can one solve exactly some problems in plasma theory

被引：42

作者：

Dubinov, AE ^{[1
]}

Dubinova, ID ^{[1
]}

机构：

[1] Russian Fed Nucl Ctr, Sarov 607188, Russia

来源：

JOURNAL OF PLASMA PHYSICS | 2005年 / 71卷

关键词：

D O I：

10.1017/S0022377805003788

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 review of a technique for the application of a new Lambert W function for solving transcendental equations arising in classical problems of plasma and electron beam theories is presented, and the basic Mathematical properties of the Lambert TV function are Outlined. The problems discussed include equilibrium electric body in plasma, nonlinear ion-acoustic waves, the electric charge of a, solitary body equilibrium cofiguration of a neutralized electric beam, the dynamics of shaping virtual cathodes in a medium with viscous friction, and the study of the dispersion equation for electron plasma waves in the framework of generalized Boltzmann kinetics.

引用

页码：715 / 728

页数：14

共 30 条

[1] Space-charge-limited current in electron diodes under the influence of collisions [J].