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

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

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 t...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2007

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.75.021101