Phys. Rev. Lett. 81, 3848–3851 (1998)Clustering and Non-Gaussian Behavior in Granular MatterReceived 11 December 1997; published in the issue dated 2 November 1998 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 τ associated with the Brownian process is small compared with the mean collision time τc the spatial density is nearly homogeneous and the velocity probability distribution is Gaussian. In the opposite limit τ≫τc one has strong spatial clustering, with a fractal distribution of particles, and the velocity probability distribution strongly deviates from the Gaussian one. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.81.3848
DOI:
10.1103/PhysRevLett.81.3848
PACS:
46.10.+z
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