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|Title:||Statistical properties of functionals of the paths of a particle diffusing in a one-dimensional random potential|
Majumdar, Satya N.
random phenomena and media
|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)|
|Copyright:||2006 The American Physical Society|
|Appears in Collections:||Research Papers (TP)|
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