{ "id": "1007.0572", "version": "v1", "published": "2010-07-04T17:07:51.000Z", "updated": "2010-07-04T17:07:51.000Z", "title": "Optimization of the residence time of a Brownian particle in a spherical subdomain", "authors": [ "O. Bénichou", "R. Voituriez" ], "journal": "J. Chem. Phys. {\\bf 131}, 11 (2009)", "categories": [ "cond-mat.stat-mech", "physics.chem-ph" ], "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.", "revisions": [ { "version": "v1", "updated": "2010-07-04T17:07:51.000Z" } ], "analyses": { "keywords": [ "brownian particle", "residence time", "spherical subdomain", "optimization", "schematic experimental situations" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "J. Chem. Phys." }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1007.0572B" } } }