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arXiv · 0810.5694

Khinchin theorem and anomalous diffusion

Luciano C. Lapas·Rafael Morgado·Mendeli H. Vainstein·J. Miguel Rubi·Fernando A. Oliveira
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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.

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Luciano C. Lapas, Rafael Morgado, Mendeli H. Vainstein, J. Miguel Rubi, Fernando A. Oliveira. 2008-12-10. Khinchin theorem and anomalous diffusion. https://doi.org/10.1103/physrevlett.101.230602

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