Ehrenfest urn model with interaction

Chun Hsiung Tseng, Yee Mou Kao, Chi Ho Cheng

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We studied the Ehrenfest urn model in which particles in the same urn interact with each other. Depending on the nature of interaction, the system undergoes a first- or second-order phase transition. The relaxation time to the equilibrium state, the Poincaré cycles of the equilibrium state and the most far-from-equilibrium state, and the duration time of the states during first-order phase transition are calculated. It was shown that the scaling behavior the Poincaré cycles could serve as an indication to the nature of phase transition, and the behavior of the ratio of duration time of the states could be strong evidence of the metastability during first-order phase transition.

Original languageEnglish
Article number032125
JournalPhysical Review E
Volume96
Issue number3
DOIs
Publication statusPublished - 2017 Sep 15

All Science Journal Classification (ASJC) codes

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

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