Kinetic Ising model in an oscillating field: Finite-size scaling at the dynamic phase transition

TL;DR

This paper investigates the dynamic phase transition in a 2D kinetic Ising model under oscillating magnetic fields, using finite-size scaling analysis to characterize critical behavior and estimate transition parameters.

Contribution

It presents the first finite-size scaling study of the dynamic phase transition in this model, providing evidence of diverging correlation length and estimating critical indices.

Findings

Evidence of diverging correlation length at the transition

Estimates of critical indices β, γ, and ν

Identification of transition frequency for the dynamic phase transition

Abstract

We study hysteresis for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in an oscillating field, using Monte Carlo simulations. The period-averaged magnetization is the order parameter for a proposed dynamic phase transition (DPT). To quantify the nature of this transition, we present the first finite-size scaling study of the DPT for this model. Evidence of a diverging correlation length is given, and we provide estimates of the transition frequency and the critical indices $\beta$, $\gamma$ and $\nu$.