Occupation time statistics in the quenched trap model

S. Burov, E. Barkai

Research output: Contribution to journalArticlepeer-review

74 Scopus citations

Abstract

We investigate the distribution of the occupation time of a particle undergoing a random walk among random energy traps and in the presence of a deterministic potential field. When the distribution of energy traps is exponential with a width Tg, we find in thermal equilibrium a transition between Boltzmann statistics when T>Tg to Lamperti statistics when T<Tg. We explain why our main results are valid for other models of quenched disorder, and discuss briefly implications on single particle experiments.

Original languageEnglish
Article number250601
JournalPhysical Review Letters
Volume98
Issue number25
DOIs
StatePublished - 22 Jun 2007

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