Non-ergodic Intensity Correlation Functions for Blinking Nano Crystals
Statistical Mechanics
2007-05-23 v1 Disordered Systems and Neural Networks
Chemical Physics
Abstract
We investigate the non-ergodic properties of blinking nano-crystals using a stochastic approach. We calculate the distribution functions of the time averaged intensity correlation function and show that these distributions are not delta peaked on the ensemble average correlation function values; instead they are W or U shaped. Beyond blinking nano-crystals our results describe non-ergodicity in systems stochastically modeled using the Levy walk framework for anomalous diffusion, for example certain types of chaotic dynamics, currents in ion-channel, and single spin dynamics to name a few.
Keywords
Cite
@article{arxiv.cond-mat/0406381,
title = {Non-ergodic Intensity Correlation Functions for Blinking Nano Crystals},
author = {Gennady Margolin and Eli Barkai},
journal= {arXiv preprint arXiv:cond-mat/0406381},
year = {2007}
}
Comments
5 pages, 3 figures