To the theory of superfluid 3He with conformational degrees of freedom

Abstract

The equations of the ideal superfluid hydrodynamics of a Fermi liquid with conformational degrees of freedom are constructed, which generalize the dynamics of 3He. The dynamic quantities of the reduced description associated with the broken symmetry are introduced in terms of the order parameter. A modified Mermin-Ho relation has been obtained, which takes into account the influence of conformational degrees of freedom. The expressions of the flux densities of additive integrals of motion in dissipativeless approximation in terms of the density of the energy functional are established. Spectra of collective excitations are found, and their spatial anisotropy has been analyzed. It is shown that taking into account conformational degrees of freedom leads to positive anisotropic corrections in the acoustic spectra of the first and second sounds, and their angular dependence is established. The appearance of the third sound, which has its origin from liquid crystal degrees of freedom, is clarified.