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Journal of Statistical Mechanics Theory and Experiment

Dynamic criticality of the anisotropic kinetic Ising model

Zeynep Demir Vatansever, E. Vernek, Erol Vatansever

Published Sep 1, 2025• 0 citations
Publisher

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.

DOI
10.1088/1742-5468/ae0316

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Using Monte Carlo simulations based on the Metropolis algorithm, we investigate the dynamic phase transition properties of kinetic Ising model driven by a sinusoidally oscillating magnetic field in the presence of additive white noise. We calculate equilibrium and dynamic properties such as the temperature dependence of average magnetization and magnetic specific heat, as well as the period dependence of dynamic order parameter and scaled variance. After determining the critical period at which order-disorder transition takes place, we perform finite size scaling analysis to extract the exponent ratios, and discuss the variation of these properties in the presence of noisy magnetic field. As a general result, we show that for a noisy system, DPT does not fall into a universality class of the conventional dynamic (and also equilibrium) universality class of the Ising model.