Heated granular fluids: The random restitution coefficient approach |
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Authors: | A Barrat E Trizac J-N Fuchs |
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Institution: | (1) Laboratoire de Physique Théorique, Batiment 210, Université de Paris-Sud, 91405 Orsay, France, FR;(2) Laboratoire Kastler-Brossel, Département de Physique de l'E.N.S, 24 rue Lhomond, 75231 Paris, France, FR |
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Abstract: | We introduce the model of inelastic hard spheres with random restitution coefficient α, in order to account for the fact that,
in a vertically shaken granular system interacting elastically with the vibrating boundary, the energy injected vertically
is transferred to the horizontal degrees of freedom through collisions only, which leads to heating through collisions, i.e. to inelastic horizontal collisions with an effective restitution coefficient that can be larger than 1. This allows the system
to reach a non-equilibrium steady state, where we focus, in particular, on the single-particle velocity distribution f (v) in the horizontal plane, and on its deviation from a Maxwellian. Molecular Dynamics simulations and Direct Simulation Monte
Carlo (DSMC) show that, depending on the distribution of α, different shapes of f (v) can be obtained, with very different high-energy tails. Moreover, the fourth cumulant of the velocity distribution quantifying
the deviations from Gaussian statistics is obtained analytically from the Boltzmann equation and successfully tested against
the simulations.
Received 24 November 2000 and Received in final form 8 February 2001 |
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Keywords: | PACS 45 70 -n Granular systems – 51 10 +y Kinetic and transport theory of gases – 45 10 -b Computational methods in classical mechanics |
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