Granular Collapse as a Percolation Transition

Details Granular Collapse as a Percolation Transition Granular Collapse as a Percolation Transition

1999-05-18

arxiv.org/abs/cond-mat/9905254v2

Physics

Condensed Matter

Soft Condensed Matter

10 pages revtex, 5 figures, accepted by Phys Rev E many changes and corrections from previous submission

Scientific paper

10.1103/PhysRevE.60.7137

Inelastic collapse is found in a two-dimensional system of inelastic hard disks confined between two walls which act as an energy source. As the coefficient of restitution is lowered, there is a transition between a state containing small collapsed clusters and a state dominated by a large collapsed cluster. The transition is analogous to that of a percolation transition. At the transition the number of clusters n_s of size s scales as $n_s \sim s^{-\tau}$ with $\tau \approx 2.7$.

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