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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4519

Title: Statistical properties of functionals of the paths of a particle diffusing in a one-dimensional random potential
Authors: Sabhapandit, Sanjib
Majumdar, Satya N.
Comtet, Alain
Keywords: fluctuation phenomena
brownian motion
brownian motion
probability theory
stochastic processes
random phenomena and media
Issue Date: May-2006
Publisher: American Physical Society
Citation: Physical Review E, 2006, Vol.73, p051102
Abstract: We 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.
Description: Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI: http://hdl.handle.net/2289/4519
ISSN: 1539-3755
1550-2376 (Online)
Alternative Location: http://arxiv.org/abs/cond-mat/0601455
Copyright: 2006 The American Physical Society
Appears in Collections:Research Papers (TP)

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