Non-equilibrium Dynamics and Phase Transitions in Potts model and Interacting Ehrenfest urn model
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909108498595840 |
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| author | Cheng, Chi-Ho Lai, Pik-Yin |
| author_facet | Cheng, Chi-Ho Lai, Pik-Yin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02632 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-equilibrium Dynamics and Phase Transitions in Potts model and Interacting Ehrenfest urn model Cheng, Chi-Ho Lai, Pik-Yin Statistical Mechanics 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. |
| title | Non-equilibrium Dynamics and Phase Transitions in Potts model and Interacting Ehrenfest urn model |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2401.02632 |