Entrainment effects in neutron-proton mixtures within the nuclear energy-density functional theory. II. Finite temperatures and arbitrary currents

Mutual entrainment effects in hot neutron-proton superfluid mixtures are studied the framework of self-consistent nuclear energy-density functional theory. The local mass currents homogeneous or inhomogeneous systems, which we derive from time-dependent Hartree-Fock-Bogoliubov equations at finite temperatures, shown to have same formal expression as ones found earlier absence pairing zero temperature. Analytical expressions for matrix obtained application neutron-star cores. Results compared those using Landau's Our formulas, valid arbitrary temperatures and currents, applicable various types functionals including Brussels-Montreal series unified state been already calculated, thus, laying ground a fully consistent microscopic description neutron stars.