Clustering and Non-Gaussian Behavior in Granular Matter

Details Clustering and Non-Gaussian Behavior in Granular Matter Clustering and Non-Gaussian Behavior in Granular Matter

1998-01-14

arxiv.org/abs/cond-mat/9801141v2

Physics

Condensed Matter

Statistical Mechanics

4 pages including 3 eps figures, LaTex, added references, corrected typos, minimally changed contents and abstract, to publish

Scientific paper

10.1103/PhysRevLett.81.3848

We investigate the properties of a model of granular matter consisting of $N$ Brownian particles on a line subject to inelastic mutual collisions. This model displays a genuine thermodynamic limit for the mean values of the energy and the energy dissipation. When the typical relaxation time $\tau$ associated with the Brownian process is small compared with the mean collision time $\tau_c$ the spatial density is nearly homogeneous and the velocity probability distribution is gaussian. In the opposite limit $\tau \gg \tau_c$ one has strong spatial clustering, with a fractal distribution of particles, and the velocity probability distribution strongly deviates from the gaussian one.

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