In electromagnetism, the Preisach model of hysteresis is a model of magnetic hysteresis. Originally, it generalized hysteresis as the relationship between the magnetic field and magnetization of a magnetic material as the parallel connection of independent relay hysterons. It was first suggested in 1935 by Ferenc (Franz) Preisach in the German academic journal Zeitschrift für Physik.[1] In the field of ferromagnetism, the Preisach model is sometimes thought to describe a ferromagnetic material as a network of small independently acting domains, each magnetized to a value of either or . A sample of iron, for example, may have evenly distributed magnetic domains, resulting in a net magnetic moment of zero.
Mathematically similar models seem to have been independently developed in other fields of science and engineering. One notable example is the model of capillary hysteresis in porous materials developed by Everett and co-workers. Since then, following the work of people like M. Krasnoselkii, A. Pokrovskii, A. Visintin, and I.D. Mayergoyz, the model has become widely accepted as a general mathematical tool for the description of hysteresis phenomena of different kinds.[2][3]
- ^ Preisach, F (1935). "Über die magnetische Nachwirkung". Zeitschrift für Physik. 94 (5–6): 277–302. Bibcode:1935ZPhy...94..277P. doi:10.1007/bf01349418. S2CID 122409841.
- ^ Smith, Ralph C. (2005). Smart material systems : model development. Philadelphia, Pa.: SIAM, Society for Industrial and Applied Mathematics. p. 189. ISBN 978-0-89871-583-5.
- ^ Visintin, Augusto (1994). Differential models of hysteresis. Berlin, Heidelberg: Springer Berlin Heidelberg. ISBN 978-3-662-11557-2.