外噪声下Schlogl二级相变模型的F-P方程含时解  

THE EXACT SOLUTION OF FPE FOR SCHLOGL SECOND ORDER PHASE TRANSITION MODEL UNDER EXTERNAL NOISE

作　　者：申洪[1] 俞小青[1] 

机构地区：[1]赣南师范学院物理系

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))

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 Pst(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 

关 键 词：外噪声 F-P方程 相变模型 非平衡相变 

分 类 号：O414.22[理学—理论物理]