Eur. Phys. J. B (2012) 85: 209
https://doi.org/10.1140/epjb/e2012-30002-x

Regular Article

Ergodic properties of fractional Langevin motion with spatial correlated noise

Department of Physics and Institute of Modern Physics, NingBo University, NingBo 315211, P.R. China

^a e-mail: xtliang@ustc.edu

Received: 3 January 2012
Received in final form: 13 April 2012
Published online: 20 June 2012

Abstract

In this paper, using fractional Langevin equation, we investigate the diffusion behavior of particles in the potential with spatial correlated noise (random disorder). Weak ergodicity breaking is revealed by plotting time averaged mean square displacement and ergodicity breaking parameter. The results are consistent with continuous time random walk (CTRW) and also in agreement with the properties of ones obtained with experiments.