Granular Collapse as a Percolation Transition

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

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

References in corpus (2)

• Clustering, Order, and Collapse in a Driven Granular Monolayer
• Mesoscopic Theory of Granular Fluids

Cited by in corpus (7)

• A fast Monte Carlo algorithm for site or bond percolation
• Percolation on sparse networks
• Cluster Growth in two- and three-dimensional Granular Gases
• Symmetry breaking and coarsening of clusters in a prototypical driven granular gas
• Symmetry-breaking instability in a prototypical driven granular gas
• Oscillatory instability in a driven granular gas
• Continuum Percolation on Disoriented Surfaces: the Problem of Permeable Disks on a Klein Bottle