First-passage time distribution for a random walker on a random forcing energy landscape

Michael Sheinman; Olivier Bénichou; Raphaël Voituriez; Yariv Kafri

doi:10.1088/1742-5468/2010/09/P09005

First-passage time distribution for a random walker on a random forcing energy landscape

Michael Sheinman, Olivier Bénichou, Raphaël Voituriez, Yariv Kafri

Research output: Contribution to journal › Article › peer-review

Abstract

We present an analytical approximation scheme for the disordered average first-passage time distribution on a finite interval of a random walker on a random forcing energy landscape. The approximation scheme captures the behavior of the distribution over all timescales in the problem. The results are carefully checked against numerical simulations.

Original language	English
Article number	P09005
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2010
Issue number	9
DOIs	https://doi.org/10.1088/1742-5468/2010/09/P09005
Publication status	Published - 11 Oct 2010
Externally published	Yes

Keywords

Disordered systems (theory)
Stochastic processes (theory)

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10.1088/1742-5468/2010/09/P09005

Cite this

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title = "First-passage time distribution for a random walker on a random forcing energy landscape",

abstract = "We present an analytical approximation scheme for the disordered average first-passage time distribution on a finite interval of a random walker on a random forcing energy landscape. The approximation scheme captures the behavior of the distribution over all timescales in the problem. The results are carefully checked against numerical simulations.",

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AU - Bénichou, Olivier

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AU - Kafri, Yariv

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AB - We present an analytical approximation scheme for the disordered average first-passage time distribution on a finite interval of a random walker on a random forcing energy landscape. The approximation scheme captures the behavior of the distribution over all timescales in the problem. The results are carefully checked against numerical simulations.

KW - Disordered systems (theory)

KW - Stochastic processes (theory)

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DO - 10.1088/1742-5468/2010/09/P09005

M3 - Article

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JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

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First-passage time distribution for a random walker on a random forcing energy landscape

Abstract

Keywords

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