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

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.