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Relative Entropy of a Freely Cooling Granular Gas

By Andrés Santos and Gilberto M. Kremer

Abstract

The time evolution and stationary values of the entropy per particle of a homogeneous freely cooling granular gas, relative to the maximum entropy consistent with the instantaneous translational and rotational temperatures, is analyzed by means of a Sonine approximation involving fourth-degree cumulants. The results show a rich variety of dependencies of the relative entropy on time and on the coefficients of normal and tangential restitution, including a peculiar behavior in the quasi-smooth limit.Comment: 6 pages; 2 figures; contributed paper at the 28th International Symposium on Rarefied Gas Dynamics (Zaragoza, Spain, July 9-13, 2012); 28th International Symposium on Rarefied Gas Dynamics 201

Topics: Condensed Matter - Soft Condensed Matter, Condensed Matter - Statistical Mechanics
Year: 2012
DOI identifier: 10.1063/1.4769657
OAI identifier: oai:arXiv.org:1207.1658

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