Published March 2002
| Version v1
Journal article
Approximate solutions of two-way diffusion equations
- 1. Department of Electromagnetics, Chalmers University of Technology and EURATOM-VR Association, SE-41296 Goeteborg (Sweden)
- 2. EURATOM/UKAEA Fusion Association, Culham Science Centre, Abingdon, Oxfordshire OX14 3DB (United Kingdom)
Description
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
Additional details
Identifiers
Publishing Information
- Journal Title
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
- Journal Volume
- 65
- Journal Issue
- 3
- Journal Page Range
- p. 036502-036502.6
- ISSN
- 1063-651X
- CODEN
- PLEEE8
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36001695
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S43: PARTICLE ACCELERATORS; S70: PLASMA PHYSICS AND FUSION TECHNOLOGY;
- Descriptors DEI
- ACCURACY; DIFFUSION; DIFFUSION EQUATIONS; ELECTRON BEAMS; KINETICS; MATHEMATICAL SOLUTIONS; MEAN FREE PATH; NUMERICAL ANALYSIS; PLASMA
- Descriptors DEC
- BEAMS; DIFFERENTIAL EQUATIONS; EQUATIONS; LEPTON BEAMS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE BEAMS
Optional Information
- Notes
- (c) 2002 The American Physical Society