Application of non-linear Barkhausen model incorporating anhysteretic susceptibility to annealed iron

The Alessandro, Beatrice, Bertotti, and Montorsi (ABBM) model can describe the dynamics of domain wall motion in a ferromagnetic material which is subjected to a smoothly varying external magnetic field. The assumptions of this model limit its use to experiments where the differential permeability and time derivative of applied field are constant. In this paper, the anhysteretic susceptibility is incorporated into the model of ABBM model instead of a constant differential permeability. The resulting simulated Barkhausen signal can accurately describe experimental data from a low carbon iron sampl