Khinchin Theorem and Anomalous Diffusion

被引：78

作者：

Lapas, Luciano C. ^{[1
,2
,3
]}

Morgado, Rafael ^{[4
]}

Vainstein, Mendeli H. ^{[1
,2
,3
]}

Rubi, J. Miguel ^{[3
]}

Oliveira, Fernando A. ^{[1
,2
]}

机构：

[1] Univ Brasilia, Inst Fis, BR-70919970 Brasilia, DF, Brazil

[2] Univ Brasilia, Ctr Int Fis Mat Condensada, BR-70919970 Brasilia, DF, Brazil

[3] Univ Barcelona, Fac Fis, Dept Fis Fonamental, E-08028 Barcelona, Spain

[4] Univ Brasilia, Fac UnB Gama, BR-72405610 Brasilia, DF, Brazil

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 101卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.101.230602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：4

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