1. Sample-dependent first-passage-time distribution in a disordered medium.
- Author
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Liang Luo and Lei-Han Tang
- Subjects
- *
FINITE size scaling (Statistical physics) , *PARTICLES , *DIFFUSION , *COMPUTER simulation , *LOCAL times (Stochastic processes) , *POWER law (Mathematics) - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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