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

DOI10.1088/1742-5468/2010/09/P09005zbMath1456.82419arXiv1006.3088OpenAlexW3100838940MaRDI QIDQ3301189

Michael Sheinman, Raphaël Voituriez, Y. Kafri, Olivier Bénichou

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Abstract: We present an analytical approximation scheme for the 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.

Full work available at URL: https://arxiv.org/abs/1006.3088

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Processes in random environments (60K37) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Cites Work

• Localization of random walks in one-dimensional random environments
• Random walks in a random environment
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