Document Type

Article

Department/Unit

Department of Physics

Abstract

© 2015 American Physical Society.Above two dimensions, diffusion of a particle in a medium with quenched random traps is believed to be well described by the annealed continuous-time random walk. We propose an approximate expression for the first-passage-time (FPT) distribution in a given sample that enables detailed comparison of the two problems. For a system of finite size, the number and spatial arrangement of deep traps yield significant sample-to-sample variations in the FPT statistics. Numerical simulations of a quenched trap model with power-law sojourn times confirm the existence of two characteristic time scales and a non-self-averaging FPT distribution, as predicted by our theory.

Publication Year

2015

Journal Title

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volume number

4

Issue number

92

Publisher

American Physical Society

Referreed

1

DOI

10.1103/PhysRevE.92.042137

ISSN (print)

15393755

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