Magnetization reversal in an energetic hysteresis model

In the energetic model the magnetic state of the material is represented by the minima of the total energy function. The model describes hysteretic curves from the demagnetized state up to saturation. At an arbitrary point of magnetization reversal, however, the distribution of the distances between domain walls and pinning centers has to be considered with respect to the magnetic history, which is important for the calculation of minor hysteresis loops.