TY - JOUR

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

AU - Kao, Yee Mou

AU - Luan, Pi Gang

PY - 2003

Y1 - 2003

N2 - We propose a generalized Ehrenfest urn model of many urns arranged periodically along a circle. The evolution of the urn model system is governed by a directed stochastic operation. Method for solving an N-ball, M-urn problem of this model is presented. The evolution of the system is studied in detail. We find that the average number of balls in a certain urn oscillates several times before it reaches a stationary value. This behavior seems to be a peculiar feature of this directed urn model. We also calculate the Poincaré cycle, i.e., the average time interval required for the system to return to its initial configuration. The result indicates that the fundamental assumption of statistical mechanics holds in this system.

AB - We propose a generalized Ehrenfest urn model of many urns arranged periodically along a circle. The evolution of the urn model system is governed by a directed stochastic operation. Method for solving an N-ball, M-urn problem of this model is presented. The evolution of the system is studied in detail. We find that the average number of balls in a certain urn oscillates several times before it reaches a stationary value. This behavior seems to be a peculiar feature of this directed urn model. We also calculate the Poincaré cycle, i.e., the average time interval required for the system to return to its initial configuration. The result indicates that the fundamental assumption of statistical mechanics holds in this system.

UR - http://www.scopus.com/inward/record.url?scp=85037246865&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.67.031101

DO - 10.1103/PhysRevE.67.031101

M3 - 期刊論文

AN - SCOPUS:85037246865

SN - 1539-3755

VL - 67

SP - 9

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

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

IS - 3

ER -