On the Exact Solution of a Generalized Polya Process
On the Exact Solution of a Generalized Polya Process
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DOI：
10.1155/2010/504267
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发表时间：
2010-01-01
影响因子：
1.2
通讯作者：
Konno, Hidetoshi
中科院分区：
文献类型：
--
作者：
Konno, Hidetoshi
描述具有记忆效应的非平衡现象的主方程有两种类型：（i）记忆函数型和（ii）非定常型。在非平稳型主方程方法的框架内研究了广义Polya过程。对于具有任意含时弛豫函数的转移率，得到了广义Polya过程的精确解。对于反映系统记忆性的几种典型的含时弛豫函数，给出了解随时间变化的特征。
There are two types of master equations in describing nonequilibrium phenomena with memory effect: (i) the memory function type and (ii) the nonstationary type. A generalized Polya process is studied within the framework of a non-stationary type master equation approach. For a transition-rate with an arbitrary time-dependent relaxation function, the exact solution of a generalized Polya process is obtained. The characteristic features of temporal variation of the solution are displayed for some typical time-dependent relaxation functions reflecting memory in the systems.