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

Authors :
Bénichou, O.
Voituriez, R.
Source :
J. Chem. Phys. {\bf 131}, 11 (2009)
Publication Year :
2010

Abstract

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.

Details

Database :
arXiv
Journal :
J. Chem. Phys. {\bf 131}, 11 (2009)
Publication Type :
Report
Accession number :
edsarx.1007.0572
Document Type :
Working Paper