Weakly non-ergodic Statistical Physics

Details Weakly non-ergodic Statistical Physics Weakly non-ergodic Statistical Physics

2008-03-16

arxiv.org/abs/0803.2354v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1007/s10955-008-9610-3

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.

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