| Issue |
Europhys. Lett.
Volume 53, Number 4, February 2001
|
|
|---|---|---|
| Page(s) | 438 - 443 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2001-00172-5 | |
| Published online | 01 December 2003 | |
Partial survival and inelastic collapse for a randomly accelerated particle
1
Service de Physique Théorique, CEA Saclay -
91191 Gif-sur-Yvette cedex, France
2
Service de Physique de l'État Condensé, CEA Saclay
91191 Gif-sur-Yvette cedex, France
Received:
13
September
2000
Accepted:
11
December
2000
We present an exact derivation of the survival probability of a
randomly accelerated particle subject to partial absorption at the
origin. We determine the persistence exponent and the amplitude
associated to the decay of the survival probability at large times.
For the problem of inelastic reflection at the origin, with
coefficient of restitution r, we give a new derivation of the
condition for inelastic collapse, 
, and
determine the persistence exponent exactly.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise and Brownian motion / 02.50.Ey – Stochastic processes / 05.20.-y – Classical statistical mechanics
© EDP Sciences, 2001
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