摘要
采用微分方程的李群方法 ,研究了外噪声影响下的非平衡相变模型对应的Fokker Planck(FP)方程 ,得出了含时间概率密度P(x ,t)的严格表达式 ;讨论了最可几值x随时间的变化 .在时间t→∞时 ,由严格解给出了概率密度的定态解Pst(x) ,并讨论了此时的最可几值x与确定性描述的区别 .
Some models describing first or second order nonequilibrium phase transition under exteral Gaussian white noise are studied. The exact time-dependent solution of the probability density of the relevant Fokker-Planck equation, P(x,t), is obtained by using a method of Lie group. The time evolution of P(x,t) is explored. The steady state P st (x) and the most probable value for t→∞ are also investigated. A comparison between the deterministic description and the behavior of the system under external noise is given.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2001年第5期632-637,共6页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金资助项目 ( 3 0 0 70 2 16)
