Non-equilibrium dynamics and phase transitions in Potts model and interacting Ehrenfest urn model

We show that the recently proposed interacting Ehrenfest M-urn model at equilibrium (Cheng et al., 2020) can be exactly mapped to a mean-field M-state Potts model. By exploiting this correspondence, we show that the M-state Potts model with M≥3, with transition rates motivated by the non-equilibrium...

Full description

Saved in:
Bibliographic Details
Published in:Chinese journal of physics (Taipei) 2024-04, Vol.88, p.475-484
Main Authors: Cheng, Chi-Ho, Lai, Pik-Yin
Format: Article
Language:English
Subjects:
Ehrenfest urn model
Non-equilibrium phase transition
Potts model
Spin dynamics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We show that the recently proposed interacting Ehrenfest M-urn model at equilibrium (Cheng et al., 2020) can be exactly mapped to a mean-field M-state Potts model. By exploiting this correspondence, we show that the M-state Potts model with M≥3, with transition rates motivated by the non-equilibrium urn model, can exhibit rich non-equilibrium spin dynamics such as non-equilibrium steady states and non-equilibrium periodic states. Monte Carlo simulations of the 3-state Potts model are performed to demonstrate explicitly the first-order transitions for the equilibrium and non-equilibrium steady states, as well as the far-from-equilibrium periodic states. •The interacting Ehrenfest M-urns model can be mapped to an M-state Potts model.•This M-state Potts model has transition rates given by the non-equilibrium urn model.•It can exhibit non-equilibrium steady states and periodic states for M≧3. [Display omitted]
ISSN:0577-9073
DOI:10.1016/j.cjph.2024.01.007