Poincaré cycle of an Ehrenfest multiurn model in a one-dimensional ring

Yee Mou Kao

doi:10.1103/PhysRevE.69.027103

Poincaré cycle of an Ehrenfest multiurn model in a one-dimensional ring

Yee Mou Kao

Department of Physics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

An Ehrenfest model of a one-dimensional ring was studied. The model generalizes the directed transport to arbitrary transports. The evolution of the system was studied and the Poincaré cycle was calculated. Results show that the average number of balls in an urn evolves according to the transport probability.

Original language	English
Article number	027103
Pages (from-to)	027103-1-027103-4
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	69
Issue number	2 2
DOIs	https://doi.org/10.1103/PhysRevE.69.027103
Publication status	Published - 2004 Feb

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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abstract = "An Ehrenfest model of a one-dimensional ring was studied. The model generalizes the directed transport to arbitrary transports. The evolution of the system was studied and the Poincar{\'e} cycle was calculated. Results show that the average number of balls in an urn evolves according to the transport probability.",

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