Poincaré cycle of a multibox Ehrenfest urn model with directed transport

Yee Mou Kao, Pi Gang Luan

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


A generalized Ehrenfest urn model of many urns arranged periodically along a circle was introduced. An N-ball, M-urn problem was solved explicitly. The evolution of the system was studied, and the average number of balls in a certain urn at any time step was calculated. It was shown that this mean value oscillates several times before it arrives the stationary value. The Poincare cycle was also obtained for two situations. The results indicate that the fundamental assumption of statistical mechanics holds in this system.

Original languageEnglish
Article number031101
Pages (from-to)031101/1-031101/9
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number3 1
StatePublished - Mar 2003


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