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

TL;DR

This study uses numerical simulations to explore the dynamic phase transition in the two- and three-dimensional Blume-Capel model under oscillating magnetic fields, revealing universality with the equilibrium Ising model.

Contribution

It demonstrates that the non-equilibrium phase transition in the Blume-Capel model belongs to the same universality class as the equilibrium Ising model, extending understanding of dynamic critical phenomena.

Findings

Dynamic phase transition matches Ising universality class

Constructed a dynamic phase diagram analogous to equilibrium

Critical exponents in 3D align with 3D Ising model

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.