Work

Sample-dependent first-passage-time distribution in a disordered medium

Year: 2015

Type: article

Abstract: 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.

Source: Physical Review E

DOI: 10.1103/physreve.92.042137

Authors: Liang Luo, Lei-Han Tang

Institutions: Beijing Computational Science Research Center, Hong Kong Baptist University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Food and Health Bureau

Awards: G2899827145, G4065940845