Dynamic phase transition of the Blume-Capel model in an oscillating magnetic field

Abstract

We employ numerical simulations and finite-size scaling techniques to investigate the properties of the dynamic phase transition that is encountered in the Blume-Capel model subjected to a periodically oscillating magnetic field. We mainly focus on the study of the two-dimensional system for various values of the crystal-field coupling in the second-order transition regime. Our results indicate that the present non-equilibrium phase transition belongs to the universality class of the equilibrium Ising model and allow us to construct a dynamic phase diagram, in analogy to the equilibrium case, at least for the range of parameters considered. Finally, we present some complementary results for the three-dimensional model, where again the obtained estimates for the critical exponents fall into the universality class of the corresponding three-dimensional equilibrium Ising ferromagnet.

arXiv comment27 pages, 1 table, 15 figures, minor corrections (updated figures 3 and 4)

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• Dynamic phase transitions in the presence of quenched randomness
• Monte Carlo study of the two-dimensional kinetic Blume-Capel model in a quenched random crystal field
• Monte Carlo studies of the Blume-Capel model on nonregular two- and three-dimensional lattices: Phase diagrams, tricriticality, and critical exponents
• Monte Carlo simulation of equilibrium and dynamic phase transition properties of an Ising bilayer
• Dynamic phase transitions on the kagome Ising ferromagnet
• Numerical Simulation of a Two-Dimensional Blume-Capel Ferromagnet in an Oscillating Magnetic Field with a Constant Bias
• Monte Carlo study of the two-dimensional kinetic Ising model under a nonantisymmetric magnetic field
• Dynamically Reentrant Skyrmion Phase in Oscillating Magnetic Fields
• A comparative review of recent results on supercritical anomalies in two-dimensional kinetic Ising and Blume-Capel ferromagnets
• Dynamic phase transition properties of kinetic Ising model in the presence of additive white noise
• Universality class of the nonequilibrium phase transition in two dimensional Ising ferromagnet driven by propagating magnetic field wave
• Dynamical Critical Properties of the Random-Bond three-state Potts Model