Khinchin theorem and anomalous diffusion

Details Khinchin theorem and anomalous diffusion Khinchin theorem and anomalous diffusion

2008-10-31

arxiv.org/abs/0810.5694v4

Phys. Rev. Lett. 101, 230602 (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.101.230602

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.

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