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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4519
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dc.contributor.authorSabhapandit, Sanjib-
dc.contributor.authorMajumdar, Satya N.-
dc.contributor.authorComtet, Alain-
dc.date.accessioned2012-05-23T05:42:01Z-
dc.date.available2012-05-23T05:42:01Z-
dc.date.issued2006-05-
dc.identifier.citationPhysical Review E, 2006, Vol.73, p051102en
dc.identifier.issn1539-3755-
dc.identifier.issn1550-2376 (Online)-
dc.identifier.urihttp://hdl.handle.net/2289/4519-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en
dc.description.abstractWe present a formalism for obtaining the statistical properties of functionals and inverse functionals of the paths of a particle diffusing in a one-dimensional quenched random potential. We demonstrate the implementation of the formalism in two specific examples: (1) where the functional corresponds to the local time spent by the particle around the origin and (2) where the functional corresponds to the occupation time spent by the particle on the positive side of the origin, within an observation time window of size t . We compute the disorder average distributions of the local time, the inverse local time, the occupation time, and the inverse occupation time and show that in many cases disorder modifies the behavior drastically.en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttp://arxiv.org/abs/cond-mat/0601455en
dc.relation.urihttp://dx.doi.org/10.1103/PhysRevE.73.051102en
dc.relation.urihttp://adsabs.harvard.edu/abs/2006PhRvE..73e1102Sen
dc.rights2006 The American Physical Societyen
dc.subjectfluctuation phenomenaen
dc.subjectbrownian motionen
dc.subjectbrownian motionen
dc.subjectprobability theoryen
dc.subjectstochastic processesen
dc.subjectrandom phenomena and mediaen
dc.titleStatistical properties of functionals of the paths of a particle diffusing in a one-dimensional random potentialen
dc.typeArticleen
Appears in Collections:Research Papers (TP)

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