RESIDENCE TIME DISTRIBUTION OF A BROWNIAN PARTICLE

Authors
BEREZHKOVSKII AM ZALOJ V AGMON N
Citation
Am. Berezhkovskii et al., RESIDENCE TIME DISTRIBUTION OF A BROWNIAN PARTICLE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(4), 1998, pp. 3937-3947
Citations number
25
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
57
Issue
4
Year of publication
1998
Pages
3937 - 3947
Database
ISI
SICI code
1063-651X(1998)57:4<3937:RTDOAB>2.0.ZU;2-1
Abstract
The residence time of a Brownian particle within a spatial domain is t he total time it spends within this domain. It is shown that the resid ence time distribution can be calculated from the survival probability for a constant trapping rate inside the domain. This isomorphism is e xploited to derive explicit relations for the distribution and its mom ents fora three-dimensional spherical domain. Results are verified by a Brownian dynamics simulation.