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

TL;DR

This paper uses Monte Carlo simulations to study how additive white noise affects the dynamic phase transition in a kinetic Ising model driven by an oscillating magnetic field, revealing deviations from conventional universality classes.

Contribution

It introduces a detailed analysis of noise effects on dynamic phase transitions in the kinetic Ising model, including finite size scaling and critical exponent evaluation.

Findings

Noisy magnetic field alters the critical period for phase transition.

The presence of noise causes the system to deviate from the conventional Ising universality class.

Finite size scaling analysis reveals modified critical exponents in noisy conditions.

Abstract

Using Monte Carlo simulations based on the Metropolis algorithm, we investigate the dynamic phase transition properties of kinetic Ising model driven by a sinusoidally oscillating magnetic field in the presence of additive white noise. We calculate equilibrium and dynamic properties such as the temperature dependence of average magnetization and magnetic specific heat, as well as the period dependence of dynamic order parameter and scaled variance. After determining the critical period at which order-disorder transition takes place, we perform finite size scaling analysis to extract the exponent ratios, and discuss the variation of these properties in the presence of noisy magnetic field. As a general result, we show that for a noisy system, DPT does not fall into a universality class of the conventional dynamic (and also equilibrium) universality class of the Ising model.