title: Sample-dependent first-passage-time distribution in a disordered medium.
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.
authors.affiliation: Beijing Computational Science Research Center, Beijing 100094, China.
authors.forename: Liang
authors.initials: L
authors.lastname: Luo
authors.affiliation: Beijing Computational Science Research Center, Beijing 100094, China.|Department of Physics and Institute of Computational and Theoretical Studies, Hong Kong Baptist University, Hong Kong.
authors.forename: Lei-Han
authors.initials: LH
authors.lastname: Tang
mesh_terms: D004058:Diffusion; D008962:Models, Theoretical; D013997:Time Factors