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Khinchin Theorem and Anomalous Diffusion
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A recent Letter [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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LAPAS, Luciano Calheiros, et al. Khinchin Theorem and Anomalous Diffusion. Physical Review Letters. 2008. Vol. 101, num. 23, pags. 230602. ISSN 0031-9007. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/134217