### 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 language | English |
---|---|

Article number | 031101 |

Pages (from-to) | 031101/1-031101/9 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 67 |

Issue number | 3 1 |

Publication status | Published - 2003 Mar 1 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

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

### Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*67*(3 1), 031101/1-031101/9. [031101].

}

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 67, no. 3 1, 031101, pp. 031101/1-031101/9.

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Poincaré cycle of a multibox Ehrenfest urn model with directed transport

AU - Kao, Yee Mou

AU - Luan, Pi Gang

PY - 2003/3/1

Y1 - 2003/3/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=42749106518&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=42749106518&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:42749106518

VL - 67

SP - 031101/1-031101/9

JO - Physical review. E

JF - Physical review. E

SN - 1539-3755

IS - 3 1

M1 - 031101

ER -