外噪声下Schlgl一级相变模型F-P方程的含时精确  

The Exct Solvtion of FPE for Schlgl Fist Order Phase Transition Model under External Noise

作　　者：李尧英[1] 申洪[1] 

机构地区：[1]赣南师范学院物理系

出　　处：《江西师范大学学报（自然科学版）》1997年第4期369-372,392,共5页Journal of Jiangxi Normal University(Natural Science Edition)

摘　　要：该文采用微分方程的李群方法，讨论了外噪声影响下的Ｓｃｈｌｇｌ一级相变模型，得出了对应的ＦＰ方程的含时几率密度Ｐ（ｘ，ｔ）的严格表达式；研究了最可几值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 Schlgl fist order noneguilibrium phase transition under external Gaussian White noise is studied.An exact timedependent Solution of the probabihity 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 distribution for t→∞ are also inverstigated.A comparsion between the deterministic description and the beharior of the systen under external noise is made.

关 键 词：外噪声 含时精确解 F-P方程 相变模型 涨落 

分 类 号：O414.22[理学—理论物理]