Stochastic Two-temperature Nonequilibrium Ising model
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908891865939968 |
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| author | Dutta, Debraj Sarkar, Ritwick Basu, Urna |
| author_facet | Dutta, Debraj Sarkar, Ritwick Basu, Urna |
| contents | We investigate the nonequilibrium stationary state (NESS) of the two-dimensional Ising model under a stochastic dichotomous modulation of temperature, which alternates between $T_c \pm δ$ around the critical temperature $T_c$ at a rate $γ$. Both magnetization and energy exhibit non-monotonic dependence on $γ$, explained by a renewal approach in the slow-switching limit, while for small $δ$ dynamical response theory quantitatively captures the $γ$-dependence of the observables. In the fast-switching regime, the NESS appears Boltzmann-like with a $γ$-dependent effective temperature. However, a finite energy current flowing through the system from hot to cold reservoir confirms the intrinsic nonequilibrium nature of the dynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_00494 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stochastic Two-temperature Nonequilibrium Ising model Dutta, Debraj Sarkar, Ritwick Basu, Urna Statistical Mechanics We investigate the nonequilibrium stationary state (NESS) of the two-dimensional Ising model under a stochastic dichotomous modulation of temperature, which alternates between $T_c \pm δ$ around the critical temperature $T_c$ at a rate $γ$. Both magnetization and energy exhibit non-monotonic dependence on $γ$, explained by a renewal approach in the slow-switching limit, while for small $δ$ dynamical response theory quantitatively captures the $γ$-dependence of the observables. In the fast-switching regime, the NESS appears Boltzmann-like with a $γ$-dependent effective temperature. However, a finite energy current flowing through the system from hot to cold reservoir confirms the intrinsic nonequilibrium nature of the dynamics. |
| title | Stochastic Two-temperature Nonequilibrium Ising model |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2509.00494 |