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 differ ent coercive fields and they interact magnetostatically with each othe r. The analysis shows that such systems generally cannot be exactly re presented either by the classical Preisach model or by the Moving Prei sach Model as long as the number of the elements is finite. The repres entation can be considered unambiguous only if the number of elements approaches infinity.