Brownian motion in granular gases of viscoelastic particles |
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Authors: | A S Bodrova N V Brilliantov and A Yu Loskutov |
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Institution: | 1.Moscow State University,Moscow,Russia |
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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 ɛ. Whereas previous studies used
a simplified model with ɛ = 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. |
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Keywords: | |
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