Department of Physics
© 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.
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
American Physical Society
Luo, Liang, and Lei-Han Tang. "Sample-dependent first-passage-time distribution in a disordered medium." Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 4.92 (2015).