Transport equations and linear response of superfluid Fermi mixtures in neutron stars

Abstract

We study transport properties of a strongly interacting superfluid mixture of two Fermi-liquids. A typical example of such matter is the neutron-proton liquid in the cores of neutron stars. To describe the mixture, we employ the Landau theory of Fermi-liquids, generalized to allow for the effects of superfluidity. We formulate the kinetic equation and analyze linear response of the system to vector (e.g., electromagnetic) perturbation. In particular, we calculate the transverse and longitudinal polarization functions for both liquid components. We demonstrate, that they can be expressed through the Landau parameters of the mixture and polarization functions of noninteracting matter (when the Landau quasiparticle interaction is neglected). Our results can be used, e.g., for studies of the kinetic coefficients and low-frequency long-wavelength collective modes in superfluid Fermi-mixtures.

23 pages, accepted for publication in Phys. Rev. C

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• Zero sound in triplet-correlated superfluid neutron matter
• Gauge Invariant Linear Response Theory of Relativistic BCS superfluids
• Diffusion in superfluid Fermi mixtures: General formalism
• Coupling between superfluid neutrons and superfluid protons in the elementary excitations of neutron star matter
• Dissipative superfluid relativistic magnetohydrodynamics of a multicomponent fluid: the combined effect of particle diffusion and vortices
• Neutrino pair bremsstrahlung due to electromagnetic collisions in neutron star cores revisited
• Gravitational collapse and entropy of Black Holes with magnetic sources