Inelastic collapse of a randomly forced particle
arXiv:cond-mat/9804229 · doi:10.1103/PhysRevLett.81.1142
Abstract
We consider a randomly forced particle moving in a finite region, which rebounds inelastically with coefficient of restitution r on collision with the boundaries. We show that there is a transition at a critical value of r, r_c\equiv e^{-π/\sqrt{3}}, above which the dynamics is ergodic but beneath which the particle undergoes inelastic collapse, coming to rest after an infinite number of collisions in a finite time. The value of r_c is argued to be independent of the size of the region or the presence of a viscous damping term in the equation of motion.
4 pages, REVTEX, 2 EPS figures, uses multicol.sty and epsf.sty
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