Non-equilibrium Dynamics and Phase Transitions in Potts model and Interacting Ehrenfest urn model

Abstract

We show that the recently proposed interacting Ehrenfest M-urn model at equilibrium 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.

18 pages, 6 figures

References in corpus (3)

• Ehrenfest urn model with interaction
• Phase Transitions in Ehrenfest Urns Model with Interactions: Coexistence of uniform and non-uniform states
• Non-equilibrium thermodynamics and Phase transition of Ehrenfest urns with interactions

Cited by in corpus (1)

• Coexistence of distinct nonuniform nonequilibrium steady states in Ehrenfest multiurn model on a ring