Phys. Rev. E 65, 036502 (2002) [6 pages]Approximate solutions of two-way diffusion equationsReceived 21 September 2001; published 27 February 2002 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.036502
DOI:
10.1103/PhysRevE.65.036502
PACS:
41.75.-i, 05.60.Cd, 02.60.Lj, 52.25.Dg
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