著者
Konno Hidetoshi
出版者
Hindawi Publishing Corporation
雑誌
Advances in mathematical physics (ISSN:16879120)
巻号頁・発行日
vol.2010, pp.504267, 2010
被引用文献数
32 3

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.