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Brownian motion in granular gases of viscoelastic particles

  • Atoms, Molecules, Optics
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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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Authors and Affiliations

  1. Moscow State University, Moscow, 119899, Russia

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

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  1. A. S. Bodrova
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  2. N. V. Brilliantov
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  3. A. Yu. Loskutov
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Correspondence to A. S. Bodrova.

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Original Russian Text © A.S. Bodrova, N.V. Brilliantov, A.Yu. Loskutov, 2009, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 136, No. 6, pp. 1094–1104.

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Bodrova, A.S., Brilliantov, N.V. & Loskutov, A.Y. Brownian motion in granular gases of viscoelastic particles. J. Exp. Theor. Phys. 109, 946–953 (2009). https://doi.org/10.1134/S1063776109120048

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  • DOI: https://doi.org/10.1134/S1063776109120048

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