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October 2, 2025Journal of Statistical Mechanics Theory and Experiment0 citationsOpen Access

Dynamic criticality of the anisotropic kinetic Ising model

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ZVZeynep Demir VatanseverEVE. VernekEVErol Vatansever

Key Points

  • Presence of spatial anisotropy does not change the universal nature of phase transitions in the model.
  • Monte Carlo simulations were used to analyze critical behavior and determine transition points effectively.
  • The findings align with those of the equilibrium Ising model, indicating stability in its universality class.
  • The study underscores the effects of a time-dependent magnetic field on dynamic critical behavior.

Abstract

Abstract We investigate the dynamic phase transition properties of the two-dimensional anisotropic kinetic Ising model driven by a square-wave magnetic field. Spatial anisotropy is introduced through direction-dependent coupling strengths, and the system is analyzed using large-scale Monte Carlo simulations combined with finite-size scaling techniques. Several observables are computed to characterize the critical behavior and identify the transition points. Our results show that the presence of spatial anisotropy does not alter the universal nature of the transition, which remains consistent with that of the equilibrium Ising model. The findings highlight the robustness of the equilibrium Ising universality class even under spatial anisotropy and a time-dependent driving magnetic field.

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Cite This Study

Vatansever et al. (2025) studied this question.

synapsesocial.com/papers/68de79615b556a9128e1a757https://doi.org/10.1088/1742-5468/ae0316
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