Comparison of meanfield and Monte Carlo approaches to dynamic hysteresis in Ising ferromagnets

TL;DR

This paper compares Monte Carlo simulations and meanfield equations to study dynamic hysteresis in Ising ferromagnets, revealing frequency-dependent behaviors and differences at low frequencies.

Contribution

It provides a comparative analysis of meanfield and Monte Carlo methods for dynamic hysteresis in Ising models, highlighting their frequency response differences.

Findings

Both methods show power law frequency variation of coercive field.

Meanfield approach becomes frequency independent at low frequencies.

Monte Carlo results differ from meanfield predictions at low frequencies.

Abstract

The dynamical hysteresis is studied in the kinetic Ising model in the presence of a sinusoidal magnetic field both by Monte Carlo simulation and by solving the dynamical meanfield equation for the averaged magnetisation. The frequency variations of the dynamic coercive field are studied below the critical temperature. In both the cases, it shows a power law frequency variation however it becomes frequency independent in the low frequency regime for the meanfield case.