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

被引：112

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.

引用

页数：14

共 57 条

[1] Understanding and modelling plasma-electrode interaction in high-pressure arc discharges: a review [J].

Benilov, M. S. .

JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2008, 41 (14)

[2]

Benilov M. S., 1982, Fluid Dynamics, V17, P773, DOI 10.1007/BF01090162

[3] Collision-dominated to collisionless electron-free space-charge sheath in a plasma with variable ion temperature [J].

Benilov, MS .

PHYSICS OF PLASMAS, 2000, 7 (11) :4403-4411

[4] Method of matched asymptotic expansions versus intuitive approaches: Calculation of space-charge sheaths [J].

Benilov, MS .

IEEE TRANSACTIONS ON PLASMA SCIENCE, 2003, 31 (04) :678-690

[5] Modeling a collision-dominated space-charge sheath in high-pressure arc discharges [J].

Benilov, MS ;

Coulombe, S .

PHYSICS OF PLASMAS, 2001, 8 (09) :4227-4233

[6] Boundary conditions for the Child-Langmuir sheath model [J].

Benilov, MS .

IEEE TRANSACTIONS ON PLASMA SCIENCE, 2000, 28 (06) :2207-2213

[7] COLLISION-DOMINATED POSITIVE COLUMN OF A WEAKLY IONIZED GAS [J].

BLANK, JL .

PHYSICS OF FLUIDS, 1968, 11 (08) :1686-&

[8]

Bohm D., 1949, CHARACTERISTICS ELEC

[9] Beyond the step model: Approximate expressions for the field in the plasma boundary sheath [J].

Brinkmann, Ralf Peter .

JOURNAL OF APPLIED PHYSICS, 2007, 102 (09)

[10] CONTINUUM THEORY OF SPHERICAL ELECTROSTATIC PROBES (FROZEN CHEMISTRY) [J].

BUSH, WB ;

FENDELL, FE .

JOURNAL OF PLASMA PHYSICS, 1970, 4 :317-&

← 1 2 3 4 5 6 →