Open AccessOptimization of the residence time of a Brownian particle in a spherical subdomain
Author(s) -
O. Bénichou,
Raphaël Voituriez
Publication year - 2009
Publication title -
the journal of chemical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.071
H-Index - 357
eISSN - 1089-7690
pISSN - 0021-9606
DOI - 10.1063/1.3264122
Subject(s) - brownian motion , residence time (fluid dynamics) , statistical physics , particle (ecology) , diffusion , schematic , space time , local time , diffusion process , mathematics , physics , computer science , statistics , quantum mechanics , geology , engineering , innovation diffusion , chemical engineering , knowledge management , oceanography , geotechnical engineering , electronic engineering
In this communication, we show that the residence time of a Brownian particle, defined as the cumulative time spent in a given region of space, can be optimized as a function of the diffusion coefficient. We discuss the relevance of this effect to several schematic experimental situations classified in nature--random or deterministic--both of the observation time and of the starting position of the Brownian particle.
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