The Smoluchowski equation for a system of 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.

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

MARINI BETTOLO MARCONI, Umberto;
2007-01-01

Abstract

The Smoluchowski equation for a system of 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/102528
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