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Stochastic Two-temperature Nonequilibrium Ising model

2025/08/30 by Dutta, Debraj, Sarkar, Ritwick, Basu, Urna
#FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2509.00494

Abstract

We investigate the nonequilibrium stationary state (NESS) of the two-dimensional Ising model under a stochastic dichotomous modulation of temperature, which alternates between Tc ± δ around the critical temperature Tc 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.

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