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Stationary state of a heated granular gas: Fate of the usual H-functional |
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| Authors: | Ioana Bena, Fran ois Coppex, Michel Droz, Paolo Visco, Emmanuel Trizac,Fr d ric van Wijland |
| Affiliation: | aDepartment of Theoretical Physics, University of Geneva, CH-1211 Geneva 4, Switzerland bLaboratoire de Physique Théorique et Modèles Statistiques, UMR CNRS 8626, Bâtiment 100, Université Paris-Sud, 91405 Orsay Cedex, France cLaboratoire de Physique Théorique, UMR CNRS 8627, Bâtiment 210, Université Paris-Sud, 91405 Orsay Cedex, France dLaboratoire Matière et Systèmes Complexes, CNRS UMR 7057,Université Denis Diderot, 2 place Jussieu, 75251 Paris Cedex 05, France |
| Abstract: | We consider the characterization of the nonequilibrium stationary state of a randomly driven granular gas in terms of an entropy-production-based variational formulation. Enforcing spatial homogeneity, we first consider the temporal stability of the stationary state reached after a transient. In connection, two heuristic albeit physically motivated candidates for the nonequilibrium entropy production are put forward. It turns out that none of them displays an extremum for the stationary velocity distribution selected by the dynamics. Finally, the relevance of the relative Kullbach entropy is discussed. |
| Keywords: | Granular gas Entropy production H-theorem Nonequilibrium stationary state |
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