Brownian motion in granular gases of viscoelastic particles

A. S. Bodrova, N. V. Brilliantov, A. Yu Loskutov

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4 Citations (Scopus)

Abstract

Abstract-A theory is developed of Brownian motion in granular gases (systems of many macroscopic particles undergoing inelastic collisions), where the energy loss in inelastic collisions is determined by a restitution coefficient e. Whereas previous studies used a simplified model with e = const, the present analysis takes into account the dependence of the restitution coefficient on relative impact velocity. The granular temperature and the Brownian diffusion coefficient are calculated for a granular gas in the homogeneous cooling state and a gas driven by a thermostat force, and their variation with grain mass and size and the restitution coefficient is analyzed. Both equipartition principle and fluctuation-dissipation relations are found to break down. One manifestation of this behavior is a new phenomenon of "relative heating" of Brownian particles at the expense of cooling of the ambient granular gas.

Original languageEnglish
Pages (from-to)946-953
Number of pages8
JournalJournal of Experimental and Theoretical Physics
Volume109
Issue number6
DOIs
Publication statusPublished - Dec 2009
Externally publishedYes

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