WHERE DO BROWNIAN PARTICLES SPEND THEIR TIME

Citation
Dj. Bicout et al., WHERE DO BROWNIAN PARTICLES SPEND THEIR TIME, Physica. A, 258(3-4), 1998, pp. 352-364
Citations number
16
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
258
Issue
3-4
Year of publication
1998
Pages
352 - 364
Database
ISI
SICI code
0378-4371(1998)258:3-4<352:WDBPST>2.0.ZU;2-E
Abstract
We study statistical properties of the fraction of time spent by a Bro wnian particle in different regions of space. Also treated in our anal ysis are the effects of one or more constraints on the trajectory at d ifferent times. We show that the effects of imposing n constraints can be analyzed in terms of the probability density of the residence time for a single constraint, An analogy to the description of the spatial density of a polymer chain is proposed and applied to evaluate the mo nomeric density in some specific examples. (C) 1998 Elsevier Science B .V. All rights reserved.