Monte Carlo study of the two-dimensional kinetic Blume-Capel model in a quenched random crystal field

TL;DR

This study uses Monte Carlo simulations to explore the dynamic phase transition in a two-dimensional kinetic Blume-Capel model with quenched disorder, revealing universality with the Ising model and logarithmic corrections.

Contribution

It provides the first detailed finite-size scaling analysis of the nonequilibrium transition in the disordered kinetic Blume-Capel model, establishing its universality class.

Findings

Transition belongs to the Ising universality class with logarithmic corrections.

Results agree with previous studies on kinetic Ising models.

Finite-size scaling confirms the universality of the dynamic transition.

Abstract

We investigate by means of Monte Carlo simulations the dynamic phase transition of the two-dimensional kinetic Blume-Capel model under a periodically oscillating magnetic field in the presence of a quenched random crystal-field coupling. We analyze the universality principles of this dynamic transition for various values of the crystal-field coupling at the originally second-order regime of the corresponding equilibrium phase diagram of the model. A detailed finite-size scaling analysis indicates that the observed nonequilibrium phase transition belongs to the universality class of the equilibrium Ising ferromagnet with additional logarithmic corrections in the scaling behavior of the heat capacity. Our results are in agreement with earlier works on kinetic Ising models.