Survival-Time Distribution for Inelastic Collapse

Preprint

30 November 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9811422

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.

Keywords

RECENT PUBLICATION
INELASTIC COLLAPSE
COLLAPSE TIME
SURVIVAL TIME
PARTICLE
PRL

All Related Versions

Version 1, 1998-11-30, ArXiv
Published version: Physical Review E, 59 (5), R4721.

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