Survival-Time Distribution for Inelastic Collapse

Abstract

In a recent publication [PRL {\bf 81}, 1142 (1998)] it was argued that a randomly forced particle which collides inelastically with a boundary can undergo inelastic collapse and come to rest in a finite time. Here we discuss the survival probability for the inelastic collapse transition. It is found that the collapse-time distribution behaves asymptotically as a power-law in time, and that the exponent governing this decay is non-universal. An approximate calculation of the collapse-time exponent confirms this behaviour and shows how inelastic collapse can be viewed as a generalised persistence phenomenon.

4 pages, RevTeX

References in corpus (4)

• Clustering and Non-Gaussian Behavior in Granular Matter
• Persistence with Partial Survival
• Steady state properties of a driven granular medium
• Inelastic collapse of a randomly forced particle

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• Persistence in Brownian motion of an ellipsoidal particle in two dimensions
• Randomly accelerated particle in a box: mean absorption time for partially absorbing and inelastic boundaries
• Equilibrium of a confined, randomly-accelerated, inelastic particle: Is there inelastic collapse?
• Time correlations and persistence probability of a Brownian particle in a shear flow
• Record statistics of integrated random walks and the random acceleration process
• Inelastic collapse and near-wall localization of randomly accelerated particles
• Dichotomous acceleration process in one dimension: Position fluctuations
• Irregular gyration of a two-dimensional random-acceleration process in a confining potential