On the Exact Solution of a Generalized Polya Process

الملخص EN

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.