Literature DB >> 19113535

Khinchin theorem and anomalous diffusion.

Luciano C Lapas1, Rafael Morgado, Mendeli H Vainstein, J Miguel Rubí, Fernando A Oliveira.   

Abstract

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, (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.

Year:  2008        PMID: 19113535     DOI: 10.1103/PhysRevLett.101.230602

Source DB:  PubMed          Journal:  Phys Rev Lett        ISSN: 0031-9007            Impact factor:   9.161


  3 in total

1.  Aging and nonergodicity beyond the Khinchin theorem.

Authors:  S Burov; R Metzler; E Barkai
Journal:  Proc Natl Acad Sci U S A       Date:  2010-07-12       Impact factor: 11.205

2.  Effect of Self-Oscillation on Escape Dynamics of Classical and Quantum Open Systems.

Authors:  Minggen Li; Jingdong Bao
Journal:  Entropy (Basel)       Date:  2020-07-30       Impact factor: 2.524

3.  Nonlinear self-organized population dynamics induced by external selective nonlocal processes.

Authors:  Orestes Tumbarell Aranda; André L A Penna; Fernando A Oliveira
Journal:  Commun Nonlinear Sci Numer Simul       Date:  2020-09-03       Impact factor: 4.260

  3 in total

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