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  • Open Access

Ising model with power law resetting

Anagha V K and Apoorva Nagar*

  • *Contact author: apoorva.nagar@iist.ac.in
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Phys. Rev. Research 8, 023197 – Published 21 May, 2026

DOI: https://doi.org/10.1103/d3hg-bgmh

Abstract

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 m0, with the inter-reset times drawn from the power law distribution ατ0α/τα+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>TC, we find a quasiferro state for all α, marked by a double-peaked distribution that diverges at m=0 and m=m0; no steady state exists for α<1, while a stationary state emerges for α>1. For T<TC, power law resetting produces two distinct regimes separated by a crossover exponent α*=1−c: a single-peaked ferromagnetic phase localized at meq for α<α*, and a dual-peaked ferromagnetic phase with divergences at meq and m0 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.

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Phys. Rev. Research 8, 023197– Published 21 May, 2026
  • Received 17 December 2025
  • Accepted 25 April 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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