On the classification of equilibrium superfluid states with scalar and tensor order parameters

Abstract

A classification of the equilibrium states of superfluid liquids with scalar and tensor order parameters, based on the concept of quasi-averages, is presented. The condition of unbroken symmetry is generalized to inhomogeneous equilibrium states. The admissible conditions of spatial symmetry are found in terms of integrals of the motion. A connection between these symmetry conditions and the helicoidal structure of the spin and spatial anisotropy vectors is established. Under certain restrictions it is shown that the equilibrium structure of the order parameter can be represented as a product of a homogeneous part of the order parameter and a part that depends on the spatial coordinates.