Dynamic phase transition properties and metamagnetic anomalies of kinetic Ising model in the presence of additive white noise

Abstract

Using Monte Carlo simulations based on the Metropolis algorithm, we investigate the dynamic phase transition properties of a kinetic Ising model driven by a sinusoidally oscillating magnetic field in the presence of additive white noise, as well as a time independent bias term. By performing a detailed finite-size scaling analysis, we estimate the critical exponent ratios corresponding to the dynamic order parameter and the associated scaled variance, and we calculate the critical field below which the system exhibits a dynamic ferromagnetic phase. As a general result, we show that for a noisy system, DPT does not fall into the conventional universality class of the two-dimensional kinetic Ising model. Finally, as a peculiar phenomenon observed in dynamic phase transitions, we explore the evolution of anomalous metamagnetic fluctuations as a function of the noise. Our results show evidence that the bias field at which the metamagnetic anomaly occurs tends to extend towards the oscillation amplitude of the periodic magnetic field.