Nonergodic Brownian Motion  

作　　者：覃莉 杨艳艳 卢红 包景东 

机构地区：[1]Department of Physics, Beijing Normal University

出　　处：《Communications in Theoretical Physics》2010年第6期1011-1016,共6页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos.10674016, 10875013;the Specialized Research Foundation for the Doctoral Program of Higher Education under Grant No.20080027005

摘　　要：The long-time behavior of a system is suggested to confirm nonergodicity of non-Markovian Brownian dynamics, namely, whether the stationary probability density function （PDF） of the system characterized mainly by low moments of variables depends on the initial preparation. Thus we classify nonergodic Brownian motion into two classes： the class-I is that the PDF of a force-free particle depends on the initial velocity and the equilibration can be recovered through a bounded potential; while the PDF in the class-H depends on the initial coordinate and the equilibration can not be approached by introducing any potential. We also compare our result with the conditions of three kinds for ergodicity.

关 键 词：nonergodicity ballistic diffusion LOCALIZATION 

分 类 号：O552.1[理学—热学与物质分子运动论] TS803[理学—物理]