Occupation Time Statistics in the Quenched Trap Model

Details Occupation Time Statistics in the Quenched Trap Model Occupation Time Statistics in the Quenched Trap Model

2006-12-28

arxiv.org/abs/cond-mat/0612667v1

Phys. Rev. Letters 98, 250601 (2007)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.98.250601

We investigate the distribution of occupation times for a particle undergoing a random walk among random energy traps and in the presence of a deterministic potential field $U^{{\rm det}}(x)$. When the distribution of energy traps is exponential with a width $T_g$ we find that the occupation time statistics behaves according to (i) the canonical Boltzmann theory when $T>T_g$, (ii) while for $T

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