Poincaré cycle of a multibox Ehrenfest urn model with directed transport

Yee Mou Kao, Pi Gang Luan

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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
Volume67
Issue number3 1
Publication statusPublished - 2003 Mar 1

Fingerprint

Urn model
balls
Ball
Cycle
cycles
statistical mechanics
Statistical Mechanics
Mean Value
Poincaré
Circle

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

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Poincaré cycle of a multibox Ehrenfest urn model with directed transport. / Kao, Yee Mou; Luan, Pi Gang.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 67, No. 3 1, 031101, 01.03.2003, p. 031101/1-031101/9.

Research output: Contribution to journalArticle

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