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Polynomial approximations of hysteresis curves were studied for systemsexhibiting the return point memory. An extended Rayleigh law that usespolynomials of the third degree, and Rayleigh-like equations describing theenergy dependence on the applied magnetic field are proposed. The results werecompared with numerical experiments on a zero temperature random bond Isingmodel.

Polynomial Approximations of Hysteresis Curves Near the Demagnetized State