Breakdown of the Fluctuation-Dissipation Theorem for fast superdiffusion
Statistical Mechanics
2007-05-23 v1
Abstract
We study anomalous diffusion for one-dimensional systems described by a generalized Langevin equation. We show that superdiffusion can be classified in slow superdiffusion and fast superdiffusion. For fast superdiffusion we prove that the Fluctuation-Dissipation Theorem does not hold. We show as well that the asymptotic behavior of the response function is a stretched exponential for anomalous diffusion and an exponential only for normal diffusion.
Cite
@article{arxiv.cond-mat/0207718,
title = {Breakdown of the Fluctuation-Dissipation Theorem for fast superdiffusion},
author = {Ismael V. L. Costa and Rafael Morgado and Marcos V. B. T. Lima and Fernando A. Oliveira},
journal= {arXiv preprint arXiv:cond-mat/0207718},
year = {2007}
}
Comments
5 pages with figures