Ehrenfest urn model with interaction

Chun Hsiung Tseng, Yee Mou Kao, Chi Ho Cheng

Research output: Contribution to journalArticle

1 Citation (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

Fingerprint

Urn model
Equilibrium State
First-order Phase Transition
Phase Transition
Interaction
Cycle
Metastability
interactions
Scaling Behavior
Relaxation Time
cycles
metastable state
First-order
indication
relaxation time
scaling

All Science Journal Classification (ASJC) codes

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

Cite this

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Ehrenfest urn model with interaction. / Tseng, Chun Hsiung; Kao, Yee Mou; Cheng, Chi Ho.

In: Physical Review E, Vol. 96, No. 3, 032125, 15.09.2017.

Research output: Contribution to journalArticle

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AB - 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.

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