Eur. Phys. J. Plus (2019) 134: 567
https://doi.org/10.1140/epjp/i2019-12893-5

Regular Article

A model for magnetic hysteresis

“Al. I. Cuza” University, Faculty of Physics & Carpath Center, 700506, Iasi, Romania

^* e-mail: popnicusor@yahoo.com

Received: 4 March 2019
Accepted: 15 July 2019
Published online: 13 November 2019

Abstract

In this paper a new mathematical model of magnetic hysteresis is presented. In this model, firstly, it is considered that a hypothetical ferromagnetic material is formed by identical magnetic domains, with uniaxial anisotropy; at the begining it is considered that the magnetization process is realized by the rotation of the magnetic moments from each magnetic domain when an external magnetic field, , is applied. The causes that oppose during the magnetization process are equivalent replaced by a fictional magnetic field . The equation for magnetization of a magnetic domain is obtained from the condition of rotational equilibrium of magnetic moment between torques of and fields. The model gives, in the case of a magnetic domain, an analytical function for the magnetization which depends on the applied magnetic field, M(H); the graph of this function is the major hysteresis loop. Then, the real aspects during the magnetization processes of crystalline and polycrystalline magnetic materials are considered and the equations for major magnetization curves are deducted. The calculated curves were found for the experimental major magnetization curves of several categories of polycrystalline ferromagnetic materials.