Stochastic Ergodicity Breaking: a Random Walk Approach
统计力学
2009-11-11 v1
摘要
The continuous time random walk (CTRW) model exhibits a non-ergodic phase when the average waiting time diverges. Using an analytical approach for the non-biased and the uniformly biased CTRWs, and numerical simulations for the CTRW in a potential field, we obtain the non-ergodic properties of the random walk which show strong deviations from Boltzmann--Gibbs theory. We derive the distribution function of occupation times in a bounded region of space which, in the ergodic phase recovers the Boltzmann--Gibbs theory, while in the non-ergodic phase yields a generalized non-ergodic statistical law.
引用
@article{arxiv.cond-mat/0502154,
title = {Stochastic Ergodicity Breaking: a Random Walk Approach},
author = {Golan Bel and Eli Barkai},
journal= {arXiv preprint arXiv:cond-mat/0502154},
year = {2009}
}
备注
5 pages, 3 figures