2017/09/15 by Chun-Hsiung Tseng, Yee-Mou Kao, Chi-Ho Cheng · 10 citations
Chemistry · Mathematics · Physics and Astronomy · #Applied mathematics #Chemistry #Duration (music) #Economics #First order #Mathematics #Metastability #Order (exchange) #Phase (matter) #Phase transition #Physics #Quantum mechanics #Relaxation (psychology) #Scaling #Scaling law #State (computer science) #Statistical Mechanics and Entropy #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamic equilibrium #Thermodynamics #Transition (genetics) #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.96.032125
published in Physical review. E 96(3), 032125 (American Physical Society) · 9 pages, 5 figures
openalex publication_date 2017/09/15 · arxiv created 2017/09/21 · arxiv updated 2017/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.