摘要
本文采用微分方程的李群方法，研究了外噪声影响下的Ｓｃｈｌｏｇｌ二级相变模型对应的Ｆ－Ｐ几率密度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，给出了几率密度的定态解Ｐｓｔ（ｘ）以及此时的最可几值ｘ与确定性描述的区别。
The schlogl Second order noneguilibrium phase transition under external Gaussian White noise is studied.An exact time dependent solution of the probability density of the relevant Fokket-Plank eguation,P(x,t),is obtained by using a method of Lie group.The time evolution of P(x,t)is explored.The steady state Pst(x) and the most probable value for t→∞ are also inverstigated. A comparison between the deterministe description and the behavior of the system under external noise is made
出处
《赣南师范学院学报》
1997年第6期34-37,共4页
Journal of Gannan Teachers' College(Social Science(2))
关键词
外噪声
F-P方程
相变模型
非平衡相变
external noise,Fokkev-plank eguation(FPE),exact time-dependent solution
