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Main Authors: Vatansever, Zeynep Demir, Vatansever, Erol, Berger, Andreas, Vasilopoulos, Alexandros, Fytas, Nikolaos G.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.20152
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author Vatansever, Zeynep Demir
Vatansever, Erol
Berger, Andreas
Vasilopoulos, Alexandros
Fytas, Nikolaos G.
author_facet Vatansever, Zeynep Demir
Vatansever, Erol
Berger, Andreas
Vasilopoulos, Alexandros
Fytas, Nikolaos G.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_20152
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Monte Carlo study of the two-dimensional kinetic Ising model under a nonantisymmetric magnetic field
Vatansever, Zeynep Demir
Vatansever, Erol
Berger, Andreas
Vasilopoulos, Alexandros
Fytas, Nikolaos G.
Statistical Mechanics
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.
title Monte Carlo study of the two-dimensional kinetic Ising model under a nonantisymmetric magnetic field
topic Statistical Mechanics
url https://arxiv.org/abs/2409.20152