Polynomial Approximations of Hysteresis Curves Near the Demagnetized State

TL;DR

This paper develops polynomial models to approximate hysteresis curves near the demagnetized state, introducing an extended Rayleigh law and comparing it with numerical simulations of a random bond Ising model.

Contribution

It proposes a third-degree polynomial extension of the Rayleigh law and Rayleigh-like equations for energy dependence, advancing the modeling of hysteresis near the demagnetized state.

Findings

Polynomial approximations effectively model hysteresis curves.

The extended Rayleigh law aligns well with numerical results.

New equations describe energy dependence on magnetic field.

Abstract

Polynomial approximations of hysteresis curves were studied for systems exhibiting the return point memory. An extended Rayleigh law that uses polynomials of the third degree, and Rayleigh-like equations describing the energy dependence on the applied magnetic field are proposed. The results were compared with numerical experiments on a zero temperature random bond Ising model.