Monte Carlo study of the two-dimensional kinetic Ising model under a nonantisymmetric magnetic field

TL;DR

This study uses Monte Carlo simulations to analyze dynamic phase transitions in a 2D kinetic Ising model under complex, non-antisymmetric magnetic fields, confirming universality class preservation and aligning with experimental findings.

Contribution

It introduces a comprehensive numerical analysis of non-antisymmetric magnetic fields in the kinetic Ising model, extending understanding of non-equilibrium phase transitions.

Findings

The Ising universality class is preserved without half-wave antisymmetry.

The generalized conjugate field approach maintains expected properties.

Critical exponents suggest universality conservation.

Abstract

We present a comprehensive numerical study of dynamic phase transitions in the two-dimensional kinetic Ising model under a non-antisymmetric time-dependent magnetic field including a sinusoidal term and a second harmonic component. We demonstrate that the expected antisymmetric property and the scaling behavior of the order parameter are maintained using the recently proposed generalized conjugate field approach. Via a detailed finite-size scaling analysis we compute, for zero-bias field, the set of critical exponents suggesting that the Ising universality class is conserved, even in the absence of half-wave antisymmetry in the time-dependent magnetic field. Our results verify up-to-date experimental observations and provide a deeper understanding of non-equilibrium phase transitions, establishing a broader framework for exploring symmetry-breaking phenomena in driven magnetic systems.