Homogeneous cooling of rough, dissipative particles: Theory and simulations

S. Luding, M. Huthmann, S. McNamara, A. Zippelius

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    102 Citations (Scopus)


    We investigate freely cooling systems of rough spheres in two and three dimensions. Simulations using an event-driven algorithm are compared with results of an approximate kinetic theory, based on the assumption of a generalized homogeneous cooling state. For short times [Formula Presented] translational and rotational energy are found to change linearly with [Formula Presented] For large times both energies decay like [Formula Presented] with a ratio independent of time, but not corresponding to equipartition. Good agreement is found between theory and simulations, as long as no clustering instability is observed. System parameters, i.e., density, particle size, and particle mass can be absorbed in a rescaled time, so that the decay of translational and rotational energy is solely determined by normal restitution and surface roughness.

    Original languageEnglish
    Pages (from-to)3416-3425
    Number of pages10
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Issue number3
    Publication statusPublished - 1 Jan 1998


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