title: Multiple time-scale approach for a system of Brownian particles in a nonuniform temperature field.
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.
authors.affiliation: Instituto Mediterráneo de Estudios Avanzados IMEDEA (CSIC-UIB), Campus de la Universidad de las Islas Baleares, E-07122 Palma de Mallorca, Spain.
authors.forename: Cristóbal
authors.initials: C
authors.lastname: López
authors.forename: Umberto Marini
authors.initials: UM
authors.lastname: Bettolo Marconi