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

Cristobal Lopez·Umberto Marini Bettolo Marconi
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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.

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Cristobal Lopez, Umberto Marini Bettolo Marconi. 2006-10-03. Multiple time-scale approach for a system of Brownian particles in a non-uniform temperature field. https://doi.org/10.1103/physreve.75.021101

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