Dynamic micromagnetism a la Ericksen-Leslie, allowing the Einstein-de Haas and Barnett effects

Abstract: A model of dissipative micromagnetics coupled to elasticity is developed, following the procedures of the Ericksen-Leslie theory of nematic liquid crystals allowing for angular momentum due to magnetization. An outcome is the Landau-Lifshitz-Gilbert theory coupled to material spin. A further power-less augmentation to the angular momentum of the theory with classical kinetic energy density is also considered, which allows for plausible approaches to model the Einstein-de Haas and Barnett effects within continuum mechanics, as well as hard magnetic soft materials treated as constrained polar materials within the overall framework.