Shapes and textures of ferromagnetic liquid droplets

Theoretical calculations, computer simulations and experiments indicate the possible existence of a ferromagnetic liquid state. Should such a state ex ist, demagnetization effects would force a nontrivial magnetization texture governed by the shape of the liquid droplet. Since liquid droplets are def ormable, the droplet shape couples to the magnetization texture. This paper solves the joint shape/texture problem subject to the assumption of cylind rical droplet symmetry. The shape undergoes a change in topology from spher ical to toroidal as exchange energy grows or surface tension decreases.