The hysteresis loop area of the Ising model

TL;DR

This paper investigates the hysteresis loop area in the Ising model under AC fields, analyzing how frequency and temperature affect hysteresis behavior through mean-field and Monte Carlo methods.

Contribution

It introduces a combined mean-field and Monte Carlo approach to study the dynamic symmetry loss and hysteresis characteristics in the Ising model.

Findings

Identification of double-peak frequency dispersion.

Different dynamic mechanisms for symmetric and asymmetric loops.

Temperature dependence varies with hysteresis symmetry.

Abstract

The hysteresis of the Ising model in a spatially homogeneous AC field is studied using both mean-field calculations and two-dimensional Monte Carlo simulations. The frequency dispersion and the temperature dependence of the hysteresis loop area are studied in relation to the dynamic symmetry loss. The dynamic mechanisms may be different when the hysteresis loops are symmetric or asymmetric, and they can lead to a double-peak frequency dispersion and qualitatively different temperature dependence.