Weakly non-ergodic Statistical Physics
Statistical Mechanics
2009-11-13 v1
Abstract
We find a general formula for the distribution of time averaged observables for weakly non-ergodic systems. Such type of ergodicity breaking is known to describe certain systems which exhibit anomalous fluctuations, e.g. blinking quantum dots and the sub-diffusive continuous time random walk model. When the fluctuations become normal we recover usual ergodic statistical mechanics. Examples of a particle undergoing fractional dynamics in a binding force field are worked out in detail. We briefly discuss possible physical applications in single particle experiments.
Cite
@article{arxiv.0803.2354,
title = {Weakly non-ergodic Statistical Physics},
author = {Adi Rebenshtok and Eli Barkai},
journal= {arXiv preprint arXiv:0803.2354},
year = {2009}
}