The Child-Langmuir law and analytical theory of collisionless to collision-dominated sheaths

被引：106
|
作者：
Benilov, M. S. [1 ]
机构：
[1] Univ Madeira, Dept Fis, P-9000 Funchal, Portugal
来源：
PLASMA SOURCES SCIENCE & TECHNOLOGY | 2009年 / 18卷 / 01期
关键词：
SPHERICAL ELECTROSTATIC PROBES; SPACE-CHARGE SHEATH; CAPACITIVE RF SHEATH; PLASMA-SHEATH; CONTINUUM THEORY; BOHM CRITERION; ACTIVE PLASMA; MODEL; DISCHARGES; EDGE;
D O I：
10.1088/0963-0252/18/1/014005
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：
This paper is concerned with summarizing simple analytical models of space-charge sheaths and tracing their relation to the Child-Langmuir model of an ion sheath. The topics discussed include the Child-Langmuir law and model of a collisionless ion sheath, the Mott-Gurney law and model of a collision-dominated ion sheath, the Bohm model of a collisionless ion-electron sheath, the Su-Lam-Cohen model of a collision-dominated ion-electron sheath, ion sheaths with arbitrary collisionality, high-accuracy boundary conditions for the Child-Langmuir and Mott-Gurney models of an ion sheath and the mathematical sense of Child-Langmuir type models of an ion sheath from the point of view of modern theoretical physics.
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页数：14
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