Khinchin theorem and anomalous diffusion.
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.
Lapas
Luciano C
LC
Instituto de Física, Universidade de Brasília, Caixa Postal 04513, 70919-970 Brasília, Distrito Federal, Brazil.
Morgado
Rafael
R
Vainstein
Mendeli H
MH
Rubí
J Miguel
JM
Oliveira
Fernando A
FA