Weak ergodicity breaking in the continuous-time random walk

被引：251

作者：

Bel, G ^{[1
]}

Barkai, E ^{[1
]}

机构：

[1] Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel

来源：

PHYSICAL REVIEW LETTERS | 2005年 / 94卷 / 24期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.94.240602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The continuous-time random walk (CTRW) model exhibits a nonergodic phase when the average waiting time diverges. Using an analytical approach for the nonbiased and the uniformly biased CTRWs, and numerical simulations for the CTRW in a potential field, we obtain the nonergodic properties of the random walk which show strong deviations from Boltzmann-Gibbs theory. We derive the distribution function of occupation times in a bounded region of space which, in the ergodic phase recovers the Boltzmann-Gibbs theory, while in the nonergodic phase yields a generalized nonergodic statistical law.

引用

页数：4

共 21 条

[1]

[Anonymous], 2002, LEVY STAT LASER COOL

[2] SUBRECOIL LASER COOLING AND LEVY FLIGHTS [J].