Free cooling of particles with rotational degrees of freedom

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dc.creatorAspelmeier, Timo
dc.creatorHuthmann, Martin
dc.creatorZippelius, Annette
dc.date2000-09-20
dc.date.accessioned2026-07-07T02:38:46Z
dc.date.available2026-07-07T02:38:46Z
dc.descriptionFree cooling of granular materials is analyzed on the basis of a pseudo-Liouville operator. Exchange of translational and rotational energy requires surface roughness for spherical grains, but occurs for non-spherical grains, like needles, even if they are perfectly smooth. Based on the assumption of a homogeneous cooling state, we derive an approximate analytical theory. It predicts that cooling of both rough spheres and smooth needles proceeds in two stages: An exponentially fast decay to a state with stationary ratio of translational and rotational energy and a subsequent algebraic decay of the total energy. These results are confirmed by simulations for large systems of moderate density. For higher densities, we observe deviations from the homogeneous state as well as large-scale structures in the velocity field. We study non-Gaussian distributions of the momenta perturbatively and observe a breakdown of the expansion for particular values of surface roughness and normal restitution.
dc.description29 pages, 7 figures, to appear in Lecture Notes in Physics
dc.identifierhttps://arxiv.org/abs/cond-mat/0009304
dc.identifierhttp://arxiv.org/abs/cond-mat/0009304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16802
dc.subjectStatistical Mechanics
dc.titleFree cooling of particles with rotational degrees of freedom
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