Optimization of the residence time of a Brownian particle in a spherical subdomain

Details Optimization of the residence time of a Brownian particle in a spherical subdomain Optimization of the residence time of a Brownian particle in a spherical subdomain

2010-07-04

arxiv.org/abs/1007.0572v1

J. Chem. Phys. {\bf 131}, 11 (2009)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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 the nature -- random or deterministic -- both of the observation time and of the starting position of the Brownian particle.

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