Khinchin theorem and anomalous diffusion
Statistical Mechanics
2008-12-10 v4
Abstract
A recent paper [M. H. Lee, Phys. Rev. Lett. 98, 190601 (2007)] has called attention to the fact that irreversibility is a broader concept than ergodicity, and that therefore the Khinchin theorem [A. I. Khinchin, Mathematical Foundations of Statistical Mechanics (Dover, New York) 1949] may fail in some systems. In this Letter we show that for all ranges of normal and anomalous diffusion described by a Generalized Langevin Equation the Khinchin theorem holds.
Cite
@article{arxiv.0810.5694,
title = {Khinchin theorem and anomalous diffusion},
author = {Luciano C. Lapas and Rafael Morgado and Mendeli H. Vainstein and J. Miguel Rubi and Fernando A. Oliveira},
journal= {arXiv preprint arXiv:0810.5694},
year = {2008}
}
Comments
4 pages, 3 figures