Polynomial Approximations of Hysteresis Curves Near the Demagnetized State

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.