On the Exact Solution of a Generalized Polya Process
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 a...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2010/504267 |
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| author | Hidetoshi Konno |
| author_facet | Hidetoshi Konno |
| author_sort | Hidetoshi Konno |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-49f9ef9555e248caaeed8a204d7e7b12 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-49f9ef9555e248caaeed8a204d7e7b122025-08-20T03:34:17ZengWileyAdvances in Mathematical Physics1687-91201687-91392010-01-01201010.1155/2010/504267504267On the Exact Solution of a Generalized Polya ProcessHidetoshi Konno0Department of Risk Engineering, Faculty of Systems and Information Engineering, University of Tsukuba, Tsukuba, Ibaraki 305-8573, JapanThere 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.http://dx.doi.org/10.1155/2010/504267 |
| spellingShingle | Hidetoshi Konno On the Exact Solution of a Generalized Polya Process Advances in Mathematical Physics |
| title | On the Exact Solution of a Generalized Polya Process |
| title_full | On the Exact Solution of a Generalized Polya Process |
| title_fullStr | On the Exact Solution of a Generalized Polya Process |
| title_full_unstemmed | On the Exact Solution of a Generalized Polya Process |
| title_short | On the Exact Solution of a Generalized Polya Process |
| title_sort | on the exact solution of a generalized polya process |
| url | http://dx.doi.org/10.1155/2010/504267 |
| work_keys_str_mv | AT hidetoshikonno ontheexactsolutionofageneralizedpolyaprocess |