Analytical ferromagnetic hysterons with various anisotropies

摘要

A new critical reflection on the anisotropic constraints of the ferromagnetic particles allow us to analytically describe the behavior of complex ferromagnetic systems. The anisotropic constraints of each individual ferromagnetic particle such as magneto-crystalline, shape, interface, defects, domain wall, or other induced influences are described in a simplified manner. The first approximation of anisotropy free energy density provides an analytical description of various magnetization processes even in the case of very complex anisotropic influences. The hysteretic behavior described by this model, including both reversible and irreversible processes, is presented and discussed for the typical anisotropy cases observed in ferromagnetic materials: uniaxial, biaxial, cubic, and orthorhombic.This practical method to model hysteresis for various types of anisotropy could be fundamentally important for many studies that demand very efficient algorithms at the level of single-domain magnetic elements.