Optimization of the residence time of a Brownian particle in a spherical subdomain.
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.
Bénichou
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Laboratoire de Physique Théorique de la Matière Condensée (UMR 7600), Case Courrier 121, UniversitéParis 6, 4 Place Jussieu, 75255 Paris Cedex, France. benichou@lptmc.jussieu.fr
Voituriez
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