摘要
本文以主方程的非线性 F—P 方程近似为基础,导出了均匀 Schlgl 三分子化学系统沿控制参量δ与δ′相等方向的定态概率分布 P(X)的解析表达式。根据该式、讨论了定态概率分布 P_0(x),均方涨落〈δx^2〉以及平均值〈x〉随δ的演变行为。
In this paper,we use the Fokker—Planck equation,which is derived from the Master equation,to derive the analytle expression of the stationry probability distributlon of uniform Schlogl s trimolecular chemical system aloneδ=δ′.Upon this analytic expression,we dis cuss the evolution of the stationary distribution P_0 (x),square fluctuation <δx^2>and mean (?)alue<x>inδ.we point out.(1) noneguillibrium phase transition is a continuous evolution of P_0(x) from one form to another. (2) fluctuation makes the system suit its external enviroments.(3) only beyond a certain distance from the critical point below the evolution of <δx^2> in 5 is consistent with <x>; (4) the “critical slow” emerges in the range direct to the cricical point,and is clearer and clearer with δ approaching to the criticul point;
出处
《东北师大学报（自然科学版）》
CAS
CSCD
1989年第3期52-62,共11页
Journal of Northeast Normal University(Natural Science Edition)
关键词
化学系统
非平衡相变
随机分析
stationary probability distribution
square fluctuationand mean value
