Multiple time-scale approach for a system of Brownian particles in a non-uniform temperature field

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.

arXiv comment8 pages, 2 figures

References in corpus (4)

• Dynamic Density Functional Theory of Fluids
• Dynamical density functional theory and its application to spinodal decomposition
• High friction limit of the Kramers equation : the multiple time-scale approach
• Simultaneous Brownian Motion of N Particles in a Temperature Gradient

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