Approximate solutions of two-way diffusion equations

被引：7
|
作者：
Andersson, F [1 ]
Helander, P
Anderson, D
Smith, H
Lisak, M
机构：
[1] Chalmers Univ Technol, Dept Electromagnet, SE-41296 Gothenburg, Sweden
[2] EURATOM VR Assoc, SE-41296 Gothenburg, Sweden
[3] UKAEA Euratom Fus Assoc, Culham Sci Ctr, Abingdon OX14 3DB, Oxon, England
来源：
PHYSICAL REVIEW E | 2002年 / 65卷 / 03期
关键词：
D O I：
10.1103/PhysRevE.65.036502
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：
In this paper, a general and systematic scheme is formulated for finding approximate solutions of two-way diffusion equations. This expansion scheme is valid for arbitrary mean-free path and can be carried out to any desired accuracy. Its potential is demonstrated by constructing approximate solutions for two problems concerning the kinetics of an electron beam, and the accuracy is found to be very good even when only a few terms are included in the expansion. The approximate solutions found are compared with numerical calculations and previous analytical work in the literature.
引用
收藏
页码：1 / 036502
页数：6
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