Ergodicity recovery of random walk in heterogeneous disordered media

作     者：Liang Luo Ming Yi 罗亮;易鸣

作者机构：Department of PhysicsHuazhong Agricultural UniversityWuhan 430070China Institute of Applied PhysicsHuazhong Agricultural UniversityWuhan 430070China School of Mathematics and PhysicsChina University of GeosciencesWuhan 430074China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2020年第29卷第5期

页      面：165-173页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the National Natural Science Foundation of China(Grants Nos.11705064 11675060 and 91730301) 

主　　题：anomalous diffusion random walk disordered systems non-Gaussian diffusion 

摘      要：Significant and persistent trajectory-to-trajectory variance are commonly observed in particle tracking experiments,which have become a major challenge for the experimental data *** this theoretical paper we investigate the ergodicity recovery behavior,which helps clarify the origin and the convergence of trajectory-to-trajectory fluctuation in various heterogeneous disordered *** concepts of self-averaging and ergodicity are revisited in the context of trajectory *** slow ergodicity recovery and the non-Gaussian diffusion in the annealed disordered media are shown as the consequences of the central limit theorem in different *** strange ergodicity recovery behavior is reported in the quenched disordered case,which arises from a localization *** first-passage approach is introduced to the ergodicity analysis for this case,of which the central limit theorem can be employed and the ergodicity is recovered in the length scale of diffusivity correlation.