Non-exponential relaxation for anomalous diffusion
Disordered Systems and Neural Networks
2007-05-23 v2
Abstract
We study the relaxation process in normal and anomalous diffusion regimes for systems described by a generalized Langevin equation (GLE). We demonstrate the existence of a very general correlation function which describes the relaxation phenomena. Such function is even; therefore, it cannot be an exponential or a stretched exponential. However, for a proper choice of the parameters, those functions can be reproduced within certain intervals with good precision. We also show the passage from the non-Markovian to the Markovian behaviour in the normal diffusion regime. For times longer than the relaxation time, the correlation function for anomalous diffusion becomes a power law for broad-band noise.
Cite
@article{arxiv.cond-mat/0501522,
title = {Non-exponential relaxation for anomalous diffusion},
author = {Mendeli H. Vainstein and Ismael V. L. Costa and Rafael Morgado and Fernando A. Oliveira},
journal= {arXiv preprint arXiv:cond-mat/0501522},
year = {2007}
}
Comments
6 pages, 2 figures