Survival-Time Distribution for Inelastic Collapse

Details Survival-Time Distribution for Inelastic Collapse Survival-Time Distribution for Inelastic Collapse

1998-11-30

arxiv.org/abs/cond-mat/9811422v1

Phys. Rev. E 59, R4721 (1999)

Physics

Condensed Matter

Statistical Mechanics

4 pages, RevTeX

Scientific paper

10.1103/PhysRevE.59.R4721

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.

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