Homogenization of composite ferromagnetic materials

Abstract

The objective of this paper is to perform, by means of γ-convergence and two-scale convergence, a rigorous derivation of the homogenized Gibbs-Landau free energy functional associated with a composite periodic ferromagnetic material, i.e. a ferromagnetic material in which the heterogeneities are periodically distributed inside the media. We thus describe the γ-limit of the Gibbs-Landau free energy functional, as the period over which the heterogeneities are distributed inside the ferromagnetic body shrinks to zero.