Some Proposition that Links Ferromagnetic Models with Cantorian Set Theory

Abstract

In this paper, we established a link between ferromagnetic models and set theory. Three dimension spins "S X , S y , S z " are considered in Heisenberg model but it is restricted to z_ axis " S z " in Ising mode. By using Brouwer theory, fractal motion of magnetic domains is predicted theoretically in the materials that their magnetism are explained by Ising model. In addition, we achieved that the experimental data of the fractal motion of magnetic domains in the thin films are agreement with the theoretical assumptions that are proposed.