Noise-Induced Phase Transition： Zero-Dimensional Brownian Particles Varying between Ergodicity and Nonergodicity

作     者：白占武 

作者机构：Department of Mathematics and Physics North China Electric Power University Baoding 071003 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2008年第25卷第4期

页      面：1213-1216页

核心收录：

学科分类：12[管理学] 083002[工学-环境工程] 1204[管理学-公共管理] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 120402[管理学-社会医学与卫生事业管理(可授管理学、医学学位)] 08[工学] 0837[工学-安全科学与工程] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10647129 

主　　题：supernova explosion proto-neutron star shock wave 

摘      要：We study in phase space a zero-dimensional system of Brownian particles which move in a periodic potential and subject to an internal time derivative Ornstein-Uhlenbeck noise. To resolve the Fokker-Planck equation in such a case, we propose an approximate analytical method. The theoretical predictions exhibit a second order noise-induced nonequilibrium phase transition, which is confirmed by numerical simulation results. The phase transition brings the system from an ergodicity to a nonergodicity phase as the potential barrier height decreases.