Khinchin theorem and anomalous diffusion

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 so...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2008-12
Main Authors: Lapas, Luciano C, Morgado, Rafael, Vainstein, Mendeli H, J Miguel Rubi, Oliveira, Fernando A
Format: Article
Language:English
Subjects:
Statistical mechanics
Theorems
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0810.5694