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On the Exact Solution of a Generalized Polya Process

Hidetoshi Konno

Advances in Mathematical Physics, 2010, vol. 2010, 1-12

Abstract:

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:504267

DOI: 10.1155/2010/504267

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