On the Exact Solution of a Generalized Polya Process

Hidetoshi Konno

Advances in Mathematical Physics, 2010, vol. 2010, issue 1

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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https://doi.org/10.1155/2010/504267

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2010:y:2010:i:1:n:504267

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