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

Liang Luo, Lei Han TANG

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

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.

Original languageEnglish
Article number042137
JournalPhysical Review E
Volume92
Issue number4
DOIs
Publication statusPublished - 16 Oct 2015

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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