Multiple time-scale approach for a system of Brownian particles in a non-uniform temperature field
Statistical Mechanics
2009-11-11 v1
Abstract
The Smoluchowsky equation for a system of interacting Brownian particles in a temperature gradient is derived from the Kramers equation by means of a multiple time-scale method. The interparticle interactions are assumed to be represented by a mean-field description. We present numerical results that compare well with the theoretical prediction together with an extensive discussion on the prescription of the Langevin equation in overdamped systems.
Keywords
Cite
@article{arxiv.cond-mat/0610069,
title = {Multiple time-scale approach for a system of Brownian particles in a non-uniform temperature field},
author = {Cristobal Lopez and Umberto Marini Bettolo Marconi},
journal= {arXiv preprint arXiv:cond-mat/0610069},
year = {2009}
}
Comments
8 pages, 2 figures