Phase Field Crystal Model for Magneto-Elasticity in Isotropic Ferromagnetic Solids

A new isotropic magneto-elastic phase field crystal (PFC) model to study the relation between morphological structure and magnetic properties of pure ferromagnetic solids is introduced. Analytic calculations were used to determine the phase diagram and obtain the relationship between elastic strains and magnetization. Time dependent numerical simulations were used to demonstrate the effect of grain boundaries on the formation of magnetic domains. It was shown that the grain boundaries act as nucleating sites for domains of reverse magnetization. Finally, we derive a relation for coercivity versus grain mis-orientation in the isotropic limit.