Survival-time distribution for inelastic collapse

Citation
Mr. Swift et Aj. Bray, Survival-time distribution for inelastic collapse, PHYS REV E, 59(5), 1999, pp. R4721-R4724
Citations number
23
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
59
Issue
5
Year of publication
1999
Part
A
Pages
R4721 - R4724
Database
ISI
SICI code
1063-651X(199905)59:5<R4721:SDFIC>2.0.ZU;2-R
Abstract
In a recent publication [Phys. Rev. Lett. 81, 1142 (1948)] it was argued th at a randomly forced particle that collides inelastically with a boundary c an undergo inelastic collapse and come to rest in a finite time. Here we di scuss the survival probability for the inelastic collapse transition. It is found that the collapse-time distribution behaves asymptotically as a powe r law in time, and that the exponent governing this decay is nonuniversal. An approximate calculation of the collapse-time exponent confirms this beha vior and shows how inelastic collapse can be viewed as a generalized persis tence phenomenon. [S1063-651X(99)50705-8].