### 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 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics

## Fingerprint Dive into the research topics of 'Poincaré cycle of a multibox Ehrenfest urn model with directed transport'. Together they form a unique fingerprint.

## Cite this

Kao, Y. M., & Luan, P. G. (2003). Poincaré cycle of a multibox Ehrenfest urn model with directed transport.

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,*67*(3 1), 031101/1-031101/9. [031101].