Temperature-dependent pulsations of superfluid neutron stars

Abstract

We examine radial oscillations of superfluid neutron stars at finite internal temperatures. For this purpose we generalize the description of relativistic superfluid hydrodynamics to the case of superfluid mixtures. We show that in a neutron star at hydrostatic and beta-equilibrium the red-shifted temperature gradient is smoothed out by neutron superfluidity (but not by proton superfluidity). We calculate radial oscillation modes of neutron stars assuming "frozen" nuclear composition in the pulsating matter. The resulting pulsation frequencies show a strong temperature dependence in the temperature range (0.1-1) T_cn, where T_cn is the critical temperature of neutron superfluidity. Combining our results with thermal evolution, we obtain a significant evolution of the pulsation spectrum, associated with highly efficient Cooper pairing neutrino emission, for 20 years after superfluidity onset.

arXiv comment29 pages, 1 table, 4 figures

References in corpus (24)

• Neutron Star Cooling
• Neutrino Emission from Neutron Stars
• Minimal Cooling of Neutron Stars: A New Paradigm
• Spin-Isospin Structure and Pion Condensation in Nucleon Matter
• On the dynamics of superfluid neutron star cores
• Differential rotation of relativistic superfluid in neutron stars
• Relativistic models for Superconducting-Superfluid Mixtures
• Quasi-Normal Modes of General Relativistic Superfluid Neutron Stars
• Phase Transitions in Neutron Stars and Maximum Masses
• Slowly Rotating General Relativistic Superfluid Neutron Stars
• Bulk viscosity in superfluid neutron star cores. II. Modified Urca processes in $npe\mu$ matter
• Are pulsar glitches triggered by a superfluid two-stream instability?
• Oscillations of General Relativistic Superfluid Neutron Stars
• Enhanced cooling of neutron stars via Cooper-pairing neutrino emission
• Global three-dimensional flow of a neutron superfluid in a spherical shell in a neutron star
• A Relativistic Mean Field Model for Entrainment in General Relativistic Superfluid Neutron Stars
• The entrainment matrix of a superfluid neutron-proton mixture at a finite temperature
• Kelvin Helmholtz Instability and Circulation Transfer at an Isotropic-Anisotropic Superfluid Interface in a Neutron Star
• Inertial modes of non-stratified superfluid neutron stars
• r-modes in Relativistic Superfluid Stars
• Thermal Evolution of a Pulsating Neutron Star
• Non-equilibrium beta processes in superfluid neutron star cores
• Relativistic dissipative hydrodynamics with spontaneous symmetry breaking
• Study on Two Coupled Relativistic Superfluids with Spontaneous Symmetry Breaking

Cited by in corpus (46)

• A theory of first order dissipative superfluid dynamics
• Superfluidity and Superconductivity in Neutron Stars
• Relativistic fluid dynamics: physics for many different scales
• Bulk viscosity of superfluid neutron stars
• Explaining observations of rapidly rotating neutron stars in LMXBs
• Transport in holographic superfluids
• Instability windows and evolution of rapidly rotating neutron stars
• Composition temperature-dependent g-modes in superfluid neutron stars
• The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture at zero temperature
• The dynamics of dissipative multi-fluid neutron star cores
• 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
• Anomalies in Superfluids and a Chiral Electric Effect
• Evolution of the magnetic field in neutron stars
• Thermodynamically consistent equation of state for an accreted neutron star crust
• The relativistic entrainment matrix of a superfluid nucleon-hyperon mixture. II. Effect of finite temperatures
• From a complex scalar field to the two-fluid picture of superfluidity
• Thermodynamics of uncharged relativistic multifluids
• Damping of sound waves in superfluid nucleon-hyperon matter of neutron stars
• A superfluid perspective on neutron star dynamics
• R-modes and neutron star recycling scenario
• Temperature effects in pulsating superfluid neutron stars
• Quasi-normal modes of superfluid neutron stars
• Oscillations of superfluid hyperon stars: decoupling scheme and g-modes
• Dissipation in relativistic superfluid neutron stars
• r-modes in low temperature colour-flavour-locked superconducting quark star
• Heat release in accreting neutron stars
• Insights into the physics of neutron star interiors from pulsar glitches
• Constraining neutron superfluidity with $r$-mode physics
• Leptonic contribution to the bulk viscosity of nuclear matter
• Relativistic formulation of the Hall-Vinen-Bekarevich-Khalatnikov superfluid hydrodynamics
• Decoupling of superfluid and normal modes in pulsating neutron stars
• Velocity-dependent energy gaps and dynamics of superfluid neutron stars
• Temperature-dependent r-modes in superfluid neutron stars stratified by muons
• A note on the ambipolar diffusion in superfluid neutron stars
• Nonradial superfluid modes in oscillating neutron stars
• The entrainment matrix of a superfluid nucleon mixture at finite temperatures
• Two-component superfluid hydrodynamics of neutron star cores
• 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
• Temperature-dependent oscillation modes in rotating superfluid neutron stars
• Resonance suppression of the r-mode instability in superfluid neutron stars: Accounting for muons and entrainment
• Role of particle diffusion in shaping the gravitational wave signal from neutron star inspirals
• Dissipative superfluid relativistic magnetohydrodynamics of a multicomponent fluid: the combined effect of particle diffusion and vortices
• Extending Israel and Stewart hydrodynamics to relativistic superfluids via Carter's multifluid approach
• Thermodynamic stability of superflows in General Relativity and Newtonian gravity