On the role of statistics in the applicability of the Preisach transformation

Model systems of magnetic elements are investigated theoretically and experimentally. The elements are single domain, they can be switched "up" and "down", they all have the same magnetic moments but different coercive fields and they interact magnetostatically with each other. The analysis shows that such systems generally cannot be exactly represented either by the classical Preisach model or by the Moving Preisach Model as long as the number of the elements is finite. The representation can be considered unambiguous only if the number of elements approaches infinity.