1996/05/30 by Lydéric Bocquet · 1 citation
Physics and Astronomy · #cond-mat
paper · pdf · doi:10.1119/1.18507
14 pages, accepted in American Journal of Physics
arxiv created 1996/05/30 · arxiv updated 2009/11/30
The purpose of the paper is to give a pedagogical introduction to the multiple time-scale technique, on the example of the high friction limit of the Kramers equation. We begin with a discussion of the standard perturbation technique as presented in van Kampen's reference book \reftoVK, which will be shown to fail in the long-time limit. Application of the multiple time-scale technique avoids these difficulties and leads to a uniform expansion in powers of the inverse of the friction. Analogy with the Chapman-Enskog expansion is discussed.