Stationary state of a heated granular gas: fate of the usual H-functional

Ioana Bena (1) , Francois Coppex (1) , Michel Droz (1) , Paolo Visco (2, 3) , Emmanuel Trizac (2) , Frederic van Wijland (4)

1 UNIGE - Université de Genève = University of Geneva
2 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
3 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]
4 MSC - Matière et Systèmes Complexes

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 non-equilibrium 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.

Mots clés: Granular gas; entropy pro du tion; H-theorem; nonequilibrium stationary state

Domaines: Autre [cond-mat.other]

Ioana Bena, Francois Coppex, Michel Droz, Paolo Visco, Emmanuel Trizac, et al.. Stationary state of a heated granular gas: fate of the usual H-functional. Physica A: Statistical Mechanics and its Applications, 2006, 370 (2), pp.179-189. ⟨10.1016/j.physa.2006.03.009⟩. ⟨hal-00096613⟩