Granular rough sphere in a low-density thermal bath

F. Cornu and J. Piasecki

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 19, 4856-4862

Abstract: We study the stationary state of a rough granular sphere immersed in a thermal bath composed of point particles. When the centre of mass of the sphere is fixed the stationary angular velocity distribution is shown to be Gaussian with an effective temperature lower than that of the bath. For a freely moving rough sphere coupled to the thermostat via inelastic collisions we find a condition under which the joint distribution of the translational and rotational velocities is a product of Gaussian distributions with the same effective temperature. In this rather unexpected case we derive a formula for the stationary energy flow from the thermostat to the sphere in accordance with the Fourier law.

Keywords: Tracer particle; Rough granular sphere; Stationary state; Boltzmann’s equation (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:19:p:4856-4862

DOI: 10.1016/j.physa.2008.03.014

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