Ising model with power law resetting

We investigate the nonequilibrium dynamics of the nearest-neighbour Ising model subjected to stochastic resetting, where the system is intermittently returned to an initial configuration with magnetization m 0 , with the inter-reset times drawn from the power law distribution α τ 0 α / τ α + 1 . The heavy-tailed resets generate magnetization distributions that differ significantly from both equilibrium dynamics and the previously studied Ising model with exponentially distributed reset times. In two dimensions, for T > T C , we find a quasiferro state for all α , marked by a double-peaked distribution that diverges at m = 0 and m = m 0 ; no steady state exists for α < 1 , while a stationary state emerges for α > 1 . For T < T C , power law resetting produces two distinct regimes separated by a crossover exponent α * = 1 − c : a single-peaked ferromagnetic phase localized at m eq for α < α * , and a dual-peaked ferromagnetic phase with divergences at m eq and m 0 for α > α * . Analytic results in one and two dimensions, supported by simulations, yield a rich phase diagram in the ( T , α ) plane and reveal how heavy-tailed resetting generates nonequilibrium phases very different from those seen in the case of exponential resetting.