Phenomenological modeling of magnetic hysteresis

This paper deals with the modeling of vector fields that exhibit hysteresis. A general class of models of vector magnetizations with hysteresis that overpass some drawbacks of the Preisach-type models is defined. After reviewing some general properties of conservative fields, the particular case of unit magnitude vector fields is discussed. The paper focuses on a discussion of the properties of a general vector hysteresis operator (hysteron). In the Appendix sections some examples of vector hysterons deduced from the general definition are presented, and their properties are indicated and analyzed.