Dissipative superfluid relativistic magnetohydrodynamics of a multicomponent fluid: the combined effect of particle diffusion and vortices

Abstract

We formulate dissipative magnetohydrodynamic equations for finite-temperature superfluid and superconducting charged relativistic mixtures, taking into account the effects of particle diffusion and possible presence of Feynman-Onsager and/or Abrikosov vortices in the system. The equations depend on a number of phenomenological transport coefficients, which describe, in particular, relative motions of different particle species and their interaction with vortices. We demonstrate how to relate these transport coefficients to the mutual friction parameters and momentum transfer rates arising in the microscopic theory. The resulting equations can be used to study, in a unified and coherent way, a very wide range of phenomena associated with dynamical processes in neutron stars, e.g., the magnetothermal evolution, stellar oscillations and damping, as well as development and suppression of various hydrodynamic instabilities in neutron stars.

30 pages, accepted for publication in PRD

References in corpus (18)

• Models of Pulsar Glitches
• Bulk viscosity of superfluid neutron stars
• When the entropy has no maximum: A new perspective on the instability of the first-order theories of dissipation
• The entrainment matrix of a superfluid neutron-proton mixture at a finite temperature
• Temperature-dependent pulsations of superfluid neutron stars
• The relevance of ambipolar diffusion for neutron star evolution
• The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture at zero temperature
• Relativistic dynamics of superfluid-superconducting mixtures in the presence of topological defects and an electromagnetic field with application to neutron stars
• Microscopic Vortex Velocity in the Inner Crust and Outer Core of Neutron Stars
• The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture. II. Effect of finite temperatures
• Two-fluid simulations of the magnetic field evolution in neutron star cores in the weak-coupling regime
• Dissipative relativistic magnetohydrodynamics of a multicomponent mixture and its application to neutron stars
• Force on proton vortices in superfluid neutron stars
• Model-independent constraints on superfluidity from the cooling neutron star in Cassiopeia A
• Flux-Vortex Pinning and Neutron Star Evolution
• Transport equations and linear response of superfluid Fermi mixtures in neutron stars
• Force on a neutron quantised vortex pinned to proton fluxoids in the superfluid core of cold neutron stars
• Superconducting phases in a two-component microscale model of neutron star cores