A strong ionization model in plasma physics

被引:4
作者
Choquet, Isabelle [2 ]
Degond, Pierre [3 ]
Lucquin-Desreux, Brigitte [1 ]
机构
[1] Univ Paris 06, CNRS UMR 7598, Lab Jacques Louis Lions, F-75252 Paris 05, France
[2] Univ West, Dept Technol Math & Comp Sci, S-46139 Trollhattan, Sweden
[3] Univ Toulouse 3, Math Ind & Phys UMR 5640, CNRS, F-31062 Toulouse 4, France
关键词
Fluid limit for partially ionized plasmas; Glow discharge interacting with an ion beam; Strong ionization model; Inelastic collisions; Saha plasma; Diffusion limit; HIERARCHY; DIFFUSION;
D O I
10.1016/j.mcm.2007.06.035
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We derive a fluid model for partially ionized plasmas in which the dominant collisional process is not only driven by elastic collisions against neutrals, but also by ionization/recombination processes, especially concerning the electrons. In terms of applications, these models correspond to the interaction of a glow discharge with an ion beam. Crown Copyright (C) 2008 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:88 / 113
页数:26
相关论文
共 13 条
[1]   On a hierarchy of macroscopic models for semiconductors [J].
BenAbdallah, N ;
Degond, P .
JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (07) :3306-3333
[2]  
Brown IanG., 1989, PHYS TECHNOLOGY ION
[3]  
Cercignani C., 1988, BOLTZMANN EQUATION I
[4]   Hydrodynamic limit for an arc discharge at atmospheric pressure [J].
Choquet, I ;
Lucquin-Desreux, B .
JOURNAL OF STATISTICAL PHYSICS, 2005, 119 (1-2) :197-239
[5]   Energy-transport models for charge carriers involving impact ionization in semiconductors [J].
Choquet, I ;
Degond, P ;
Schmeiser, C .
TRANSPORT THEORY AND STATISTICAL PHYSICS, 2003, 32 (02) :99-132
[6]   A hierarchy of diffusion models for partially ionized plasmas [J].
Choquet, Isabelle ;
Degond, Pierre ;
Lucquin-Desreux, Brigitte .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2007, 8 (04) :735-772
[7]  
CRISPEL P, 2007, MATH MODELS METHODS, V17
[8]   Collective instabilities and beam-plasma interactions in intense heavy ion beams [J].
Davidson, RC ;
Kaganovich, I ;
Qin, H ;
Startsev, EA ;
Welch, DR ;
Rose, DV ;
Uhm, HS .
PHYSICAL REVIEW SPECIAL TOPICS-ACCELERATORS AND BEAMS, 2004, 7 (11) :37-50
[9]  
Degond P., 1996, Transport Theory and Statistical Physics, V25, P595, DOI 10.1080/00411459608222915
[10]   The asymptotics of collision operators for two species of particles of disparate masses [J].
Degond, P ;
LucquinDesreux, B .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1996, 6 (03) :405-436