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APS » Journals » Phys. Rev. Lett. » Volume 101 » Issue 23
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Phys. Rev. Lett. 101, 230602 (2008) [4 pages]

Khinchin Theorem and Anomalous Diffusion

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Luciano C. Lapas1,2, Rafael Morgado3, Mendeli H. Vainstein1,2, J. Miguel Rubí2, and Fernando A. Oliveira1,*
1Instituto de Física and Centro Internacional de Física da Matéria Condensada, Universidade de Brasília, Caixa Postal 04513, 70919-970 Brasília, Distrito Federal, Brazil
2Departament de Física Fonamental, Facultat de Física, Universitat de Barcelona, Av. Diagonal 647, 08028 Barcelona, Spain
3Faculdade UnB Gama, Universidade de Brasília, 72405-610 Brasília, Distrito Federal, Brazil

Received 12 June 2008; revised 30 October 2008; published 4 December 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.230602
DOI:
10.1103/PhysRevLett.101.230602
PACS:
05.70.−a, 05.40.−a

*fernando.oliveira@cnpq.br

 
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