On the Exact Solution of a Generalized Polya Process
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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.
1983 ◽
Vol 15
(01)
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pp. 39-53
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2012 ◽
Vol 61
(2-3)
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pp. 305-316
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2018 ◽
Vol 55
(1)
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pp. 233-253
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2013 ◽
Vol 18
(1)
◽
pp. 249-257
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