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arXiv · cond-mat/9905254

Granular Collapse as a Percolation Transition

Jan Tobochnik
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Abstract

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 $n_s \sim s^{-τ}$ with $τ\approx 2.7$.

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Jan Tobochnik. 1999-09-17. Granular Collapse as a Percolation Transition. https://doi.org/10.1103/physreve.60.7137

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