Violation of the Einstein relation in Granular Fluids: the role of correlations

Details Violation of the Einstein relation in Granular Fluids: the role of correlations Violation of the Einstein relation in Granular Fluids: the role of correlations

2007-05-18

arxiv.org/abs/0705.2688v1

J. Stat. Mech. (2007) P08016

Physics

Condensed Matter

Statistical Mechanics

18 pages, 6 figures, submitted for publication

Scientific paper

10.1088/1742-5468/2007/08/P08016

We study the linear response in different models of driven granular gases. In some situations, even if the the velocity statistics can be strongly non-Gaussian, we do not observe appreciable violations of the Einstein formula for diffusion versus mobility. The situation changes when strong correlations between velocities and density are present: in this case, although a form of fluctuation-dissipation relation holds, the differential velocity response of a particle and its velocity self-correlation are no more proportional. This happens at high densities and strong inelasticities, but still in the fluid-like (and ergodic) regime.

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