Dynamic phase transitions in the presence of quenched randomness

TL;DR

This study investigates how quenched disorder influences dynamic phase transitions in two-dimensional kinetic spin models, revealing that these nonequilibrium transitions share universality classes with their equilibrium counterparts through extensive Monte Carlo simulations.

Contribution

It provides the first detailed finite-size scaling analysis showing the universality of dynamic disordered-induced phase transitions in kinetic spin models.

Findings

Dynamic transitions belong to the universality class of the equilibrium random Ising model.

Both models exhibit continuous phase transitions under quenched disorder.

Finite-size scaling confirms universality principles in nonequilibrium conditions.

Abstract

We present an extensive study of the effects of quenched disorder on the dynamic phase transitions of kinetic spin models in two dimensions. We undertake a numerical experiment performing Monte Carlo simulations of the square-lattice random-bond Ising and Blume-Capel models under a periodically oscillating magnetic field. For the case of the Blume-Capel model we analyze the universality principles of the dynamic disordered-induced continuous transition at the low-temperature regime of the phase diagram. A detailed finite-size scaling analysis indicates that both nonequilibrium phase transitions belong to the universality class of the corresponding equilibrium random Ising model.