The entrainment matrix of a superfluid neutron-proton mixture at a finite temperature
arXiv:astro-ph/0508104 · doi:10.1016/j.nuclphysa.2005.07.005
Abstract
The entrainment matrix (also termed the Andreev-Bashkin matrix or the mass-density matrix) for a neutron-proton mixture is derived at a finite temperature in a neutron star core. The calculation is performed in the frame of the Landau Fermi-liquid theory generalized to account for superfluidity of nucleons. It is shown, that the temperature dependence of the entrainment matrix is described by a universal function independent on an actual model of nucleon-nucleon interaction employed. The results are presented in the form convenient for their practical use. The entrainment matrix is important, e.g., in kinetics of superfluid nucleon mixtures or in studies of the dynamical evolution of neutron stars (in particular, in the studies of star pulsations and pulsar glitches).
arXiv comment19 pages, 1 figure
References in corpus (12)
- Neutron Star Cooling
- Cooling neutron stars and superfluidity in their interiors
- Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state
- On the dynamics of superfluid neutron star cores
- Phase Transitions in Neutron Stars and Maximum Masses
- Thermal Conductivity of Neutrons in Neutron Star Cores
- Oscillations of General Relativistic Superfluid Neutron Stars
- Are pulsar glitches triggered by a superfluid two-stream instability?
- A Relativistic Mean Field Model for Entrainment in General Relativistic Superfluid Neutron Stars
- Neutrino mean free path in neutron stars
- Inertial modes of non-stratified superfluid neutron stars
- Microscopic calculation of neutrino mean free path inside hot neutron matter
Cited by in corpus (52)
- Equations of state for supernovae and compact stars
- Relativistic Fluid Dynamics: Physics for Many Different Scales
- The dynamics of pulsar glitches: Contrasting phenomenology with numerical evolutions
- A Flux-Conservative Formalism for Convective and Dissipative Multi-Fluid Systems, with Application to Newtonian Superfluid Neutron Stars
- Relativistic fluid dynamics: physics for many different scales
- Superfluidity and Superconductivity in Neutron Stars
- Effective mass of free neutrons in neutron star crust
- Entrainment parameters in cold superfluid neutron star core
- Bulk viscosity of superfluid neutron stars
- Explaining observations of rapidly rotating neutron stars in LMXBs
- A Minimal Nuclear Energy Density Functional
- Imprints of superfluidity on magneto-elastic QPOs of SGRs
- Temperature-dependent pulsations of superfluid neutron stars
- Instability windows and evolution of rapidly rotating neutron stars
- The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture at zero temperature
- Bulk viscosity of superfluid hyperon stars
- Relativistic dynamics of superfluid-superconducting mixtures in the presence of topological defects and an electromagnetic field with application to neutron stars
- The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture. II. Effect of finite temperatures
- Damping of sound waves in superfluid nucleon-hyperon matter of neutron stars
- A superfluid perspective on neutron star dynamics
- Non-equilibrium beta processes in superfluid neutron star cores
- Temperature effects in pulsating superfluid neutron stars
- Coherent magneto-elastic oscillations in superfluid magnetars
- Quasi-normal modes of superfluid neutron stars
- Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids
- Insights into the physics of neutron star interiors from pulsar glitches
- Constraining neutron superfluidity with -mode physics
- Anti-glitches within the standard scenario of pulsar glitches
- Collective excitations in the neutron star inner crust
- Transport equations and linear response of superfluid Fermi mixtures in neutron stars
- Velocity-dependent energy gaps and dynamics of superfluid neutron stars
- Entrainment effects in neutron-proton mixtures within the nuclear-energy density functional theory. I. Low-temperature limit
- Force on a neutron quantised vortex pinned to proton fluxoids in the superfluid core of cold neutron stars
- S pairing gaps, chemical potential and entrainment matrix in superfluid neutron-star cores for the Brussels-Montreal functionals
- Temperature-dependent r-modes in superfluid neutron stars stratified by muons
- The entrainment matrix of a superfluid nucleon mixture at finite temperatures
- Two-component superfluid hydrodynamics of neutron star cores
- Modelling the dynamics of superfluid neutron stars
- Entrainment effects in neutron-proton mixtures within the nuclear-energy density functional theory. II. Finite temperatures and arbitrary currents
- A minimal model for finite temperature superfluid dynamics
- Elementary excitations in homogeneous superfluid neutron star matter: Role of the proton component
- Isospin dependence of entrainment in superfluid neutron stars in a relativistic model
- Nonlinear approach to the entrainment matrix of superfluid nucleon mixture at zero temperature
- The spin evolution of neutron stars with the superfluid core
- Resonance suppression of the r-mode instability in superfluid neutron stars: Accounting for muons and entrainment
- Slowly rotating superfluid neutron stars with isospin dependent entrainment in a two-fluid model
- Neutrino emission from Cooper pairs at finite temperatures
- Plasmons in strong superconductors
- Non-analytic behavior of the relativistic r-modes in slowly rotating neutron stars
- Diffusion in superfluid Fermi mixtures: General formalism
- Instability windows of relativistic r-modes in stably stratified neutron stars with hyperonic cores
- Dissipative superfluid relativistic magnetohydrodynamics of a multicomponent fluid: the combined effect of particle diffusion and vortices