Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 31: Granular matter / contact dynamics II

DY 31.10: Vortrag

Freitag, 30. März 2007, 12:30–12:45, H2

Binary mixtures of inelastic hard spheres — •Wolf Till Kranz, Hildegard Uecker, and Annette Zippelius — Institute of Theoretical Physics, University of Göttingen, Germany

Analyzing the homogeneous cooling state of rarefied binary mixtures of inelastic hard spheres it is found that in general the species’ temperatures do not evolve towards a common value. Nevertheless the temperature ratio becomes stationary within a few collisions per particle. In order to better understand this surprising effect we consider a simple model with a constant coefficient of restitution and derive a kinetic theory for the granular temperatures. The validity of the model is assessed by comparison with MD-Simulations. We present an argument that makes the source of and the conditions for the non-equipartition particularly transparent. Finally we will show how the above results can be generalized to mixtures with an arbitrary number of components in a straight forward manner.