Ferromagnetic Ordering Theory of Colloidal Suspension of Magnetic Particles in Liquid Crystal

Abstract

A molecular-statistical theory of colloidal suspension of spherical ferromagnetic particles in a nematic liquid crystal matrix is considered. A tensor expression of the suspension Hamiltonian is proposed, which contains contributions that make it possible to describe the ferromagnetic state of the studied system. Within the mean-field approximation, a system of equations is obtained that describes various orientational states of the suspension. Phase diagrams of the suspension are plotted. It is shown that depending on temperature and intensity of particles interaction with the liquid crystal matrix, the suspension can be in an ordered state with different magnetic properties, namely, in the ferromagnetic and superparamagnetic nematic phases, in addition to the isotropic phase.