Energy fluctuations in vibrated and driven granular gases

P. Visco (), A. Puglisi, A. Barrat, F. van Wijland and E. Trizac

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 51, issue 3, 377-387

Abstract: We investigate the behavior of energy fluctuations in several models of granular gases maintained in a non-equilibrium steady state. In the case of a gas heated from a boundary, the inhomogeneities of the system play a predominant role. Interpreting the total kinetic energy as a sum of independent but not identically distributed random variables, it is possible to compute the probability density function (pdf) of the total energy. Neglecting correlations and using the analytical expression for the inhomogeneous temperature profile obtained from the granular hydrodynamic equations, we recover results that have previously been observed numerically and that had been attributed to the presence of correlations. In order to separate the effects of spatial inhomogeneities from those ascribable to velocity correlations, we have also considered two models of homogeneously thermostated gases: in this framework it is possible to reveal the presence of non-trivial effects due to velocity correlations between particles. Such correlations stem from the inelasticity of collisions. Moreover, the observation that the pdf of the total energy tends to a Gaussian in the large system limit suggests that they are also due to the finite size of the system. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 45.70.-n Granular systems; 05.40.-a Fluctuation phenomena; random processes; noise; and Brownian motion; 47.57.Gc Granular flow (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00230-x

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