Vector hysteresis model to describe micromagnetic structures

We discuss about the possibility of reproducing the behavior of a magnetic material at micromagnetic scale with a phenomenological vector model of hysteresis based on the definition of a vector hysteron. Data computed by means of two different static magnetic models are compared. The former is based on the solution of Brown's equation (micromagnetic scale). The latter is a vector generalization of the Classical Scalar Preisach Model (macromagnetic scale). We show that the magnetization vs. applied field curves computed by both models are in good agreement, and that the macromagnetic-scale model is able to reproduce the physical behavior of the magnetic materials at micromagnetic scale. The vector model can also take into account of multidomains structures because each hysteron is associated to one domain of the nanostructure. The assembly of hysterons reproduces with satisfactory accuracy and extremely reduced computational time the hysteretic behavior of the nanostructure computed by micromagnetic simulations.