Phase transitions in Ehrenfest urn model with interactions: Coexistence of uniform and nonuniform states

Chi Ho Cheng, Beverly Gemao, Pik Yin Lai

Research output: Contribution to journalArticle


A model based on the classic noninteracting Ehrenfest urn model with two urns is generalized to M urns with the introduction of interactions for particles within the same urn. As the inter-particle interaction strength is varied, phases of different levels of nonuniformity emerge and their stabilities are calculated analytically. In particular, coexistence of locally stable uniform and nonuniform phases connected by first-order transition occurs. The phase transition threshold and energy barrier can be derived exactly together with the phase diagram obtained analytically. These analytic results are further confirmed by Monte Carlo simulations.

Original languageEnglish
Article number012123
JournalPhysical Review E
Issue number1
Publication statusPublished - 2020 Jan 21


All Science Journal Classification (ASJC) codes

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

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