Magnetohydrodynamics of superfluid and superconducting neutron star cores
arXiv:1001.4046 · doi:10.1111/j.1365-2966.2010.17484.x
Abstract
Mature neutron stars are cold enough to contain a number of superfluid and superconducting components. These systems are distinguished by the presence of additional dynamical degrees of freedom associated with superfluidity. In order to consider models with mixtures of condensates we need to develop a multifluid description that accounts for the presence of rotational neutron vortices and magnetic proton fluxtubes. We also need to model the forces that impede the motion of vortices and fluxtubes, and understand how these forces act on the condensates. This paper concerns the development of such a model for the outer core of a neutron star, where superfluid neutrons co-exist with a type II proton superconductor and an electron gas. We discuss the hydrodynamics of this system, focusing on the role of the entrainment effect, the magnetic field, the vortex/fluxtube tension and the dissipative mutual friction forces. Out final results can be directly applied to a number of interesting astrophysical scenarios, e.g. associated with neutron star oscillations or the evolution of the large scale magnetic field.
27 pages, 1 eps figure. Minor corrections and structural changes, it matches the version to appear in MNRAS
References in corpus (15)
- A superconductor to superfluid phase transition in liquid metallic hydrogen
- Hypernuclear Physics for Neutron Stars
- On non-axisymmetric magnetic equilibria in stars
- Transitions between turbulent and laminar superfluid vorticity states in the outer core of a neutron star
- A hydrodynamical trigger mechanism for pulsar glitches
- Flux tubes and the type-I/type-II transition in a superconductor coupled to a superfluid
- Variational multi-fluid dynamics and causal heat conductivity
- Type I and Two-Gap Superconductivity in Neutron Star Magnetism
- On the stability of precessing superfluid neutron stars
- Do superfluid instabilities prevent neutron star precession?
- Oscillations of Rapidly Rotating Superfluid Stars
- Waves and instabilities in dissipative rotating superfluid neutron stars
- Relativistic Two-stream Instability
- Tkachenko modes as sources of quasiperiodic pulsar spin variations
- Fast X-ray Oscillations During Magnetar Flares
Cited by in corpus (112)
- Models of Pulsar Glitches
- Seismology of adolescent neutron stars: Accounting for thermal effects and crust elasticity
- Are there any stable magnetic fields in barotropic stars?
- Superfluidity and Superconductivity in Neutron Stars
- Magnetically-driven crustquakes in neutron stars
- Relativistic fluid dynamics: physics for many different scales
- Neutron Stars in the Laboratory
- Pulsar timing noise from superfluid turbulence
- Hydromagnetic Instabilities in Neutron Stars
- Vortex buoyancy in superfluid and superconducting neutron stars
- Coupled polar-axial magnetar oscillations
- A new mechanism for saturating unstable r-modes in neutron stars
- Towards real neutron star seismology: Accounting for elasticity and superfluidity
- Magnetic Field Evolution of Neutron Stars I: Basic formalism, numerical techniques, and first results
- Magnetic-field evolution in a plastically-failing neutron-star crust
- The contrasting magnetic fields of superconducting pulsars and magnetars
- Ambipolar diffusion in superfluid neutron stars
- Magnetic Field Evolution in Superconducting Neutron Stars
- Quasi-periodic oscillations in superfluid magnetars
- Evidence for an abundant old population of Galactic ultra long period magnetars and implications for fast radio bursts
- Superfluid hyperon bulk viscosity and the r-mode instability of rotating neutron stars
- Neutron star deformation due to multipolar magnetic fields
- Collisions of neutron stars with primordial black holes as fast radio bursts engines
- Imprints of superfluidity on magneto-elastic QPOs of SGRs
- The relevance of ambipolar diffusion for neutron star evolution
- Stratification, superfluidity and magnetar QPOs
- Simulated magnetic field expulsion in neutron star cores
- Glitch rises as a test for rapid superfluid coupling in neutron stars
- Hydromagnetic equilibrium in non-barotropic multifluid neutron stars
- The dynamics of dissipative multi-fluid neutron star cores
- Magnetic neutron star equilibria with stratification and type-II superconductivity
- Magnetic Fields of Neutron Stars
- Global numerical simulations of the rise of vortex-mediated pulsar glitches in full general relativity
- Magnetar field evolution and crustal plasticity
- Relativistic dynamics of superfluid-superconducting mixtures in the presence of topological defects and an electromagnetic field with application to neutron stars
- A new scenario for magnetar formation: Tayler-Spruit dynamo in a proto-neutron star spun up by fallback
- Evolution of the magnetic field in neutron stars
- Stability of interlinked neutron vortex and proton flux tube arrays in a neutron star: equilibrium configurations
- Vortex pinning in the superfluid core of neutron stars and the rise of pulsar glitches
- Instability of Superfluid Flow in the Neutron Star Core
- Critical magnetic fields in a superconductor coupled to a superfluid
- Stability of interlinked neutron vortex and proton flux tube arrays in a neutron star. II. Far-from-equilibrium dynamics
- Constraining properties of high-density matter in neutron stars with magneto-elastic oscillations
- A superfluid perspective on neutron star dynamics
- On the magnetic field evolution timescale in superconducting neutron star cores
- A covariant action principle for dissipative fluid dynamics: From formalism to fundamental physics
- Fast magnetic field evolution in neutron stars: the key role of magnetically induced fluid motions in the core
- Fast fossil rotation of neutron star cores
- Ultra-compact X-ray binaries as dual-line gravitational-wave sources
- Coherent magneto-elastic oscillations in superfluid magnetars
- Magnetic field evolution timescales in superconducting neutron stars
- Relativistic finite temperature multifluid hydrodynamics in a neutron star from a variational principle
- Persistent crust-core spin lag in neutron stars
- Dissipative relativistic magnetohydrodynamics of a multicomponent mixture and its application to neutron stars
- Tkachenko modes in rotating neutron stars: the effect of compressibility and implications for pulsar timing noise
- Insights into the physics of neutron star interiors from pulsar glitches
- Force on proton vortices in superfluid neutron stars
- The effect of non-linear mutual friction on pulsar glitch sizes and rise times
- Resistive relativistic magnetohydrodynamics from a charged multi-fluids perspective
- Parameter estimation of a two-component neutron star model with spin wandering
- Relativistic formulation of the Hall-Vinen-Bekarevich-Khalatnikov superfluid hydrodynamics
- Search for quasi-periodic signals in magnetar giant flares
- Rapid parameter estimation of a two-component neutron star model with spin wandering using a Kalman filter
- Magneto-rotational neutron star evolution: the role of core vortex pinning
- Combined magnetic field evolution in neutron star cores and crusts: Ambipolar diffusion, Hall effect and Ohmic dissipation
- Force on a neutron quantised vortex pinned to proton fluxoids in the superfluid core of cold neutron stars
- Does elasticity stabilise a magnetic neutron star?
- Three evolutionary paths for magnetar oscillations
- Transport coefficients of leptons in superconducting neutron star cores
- The freedom to choose neutron star magnetic field equilibria
- Superfluid instability of r-modes in "differentially rotating" neutron stars
- Beyond ideal magnetohydrodynamics: Resistive, reactive and relativistic plasmas
- Non-radial oscillations of the magnetized rotating stars with purely toroidal magnetic fields
- Hydrodynamical instabilities in superfluid neutron stars with background flows between the components
- Long-lasting accretion-powered chemical heating of millisecond pulsars
- Quantised vortices and mutual friction in relativistic superfluids
- Hydrodynamics of rapidly rotating superfluid neutron stars with mutual friction
- Two-component superfluid hydrodynamics of neutron star cores
- Generation of strong magnetic fields by r-modes in millisecond accreting neutron stars: induced deformations and gravitational wave emission
- Interpreting the AXP 1E 2259+586 antiglitch as a change in internal magnetization
- Stability of interlinked neutron vortex and proton flux-tube arrays in a neutron star -- III. Proton feedback
- Anti-glitches in accreting pulsars from superfluid vortex avalanches
- Premerger phenomena in neutron-star binary coalescences
- A minimal model for finite temperature superfluid dynamics
- Application of superconducting-superfluid magnetohydrodynamics to nuclear "pasta" in neutron stars
- Hydrodynamic Stability Analysis of the Neutron Star Core
- The impact of superconductivity and the Hall effect in models of magnetized neutron stars
- Three-dimensional numerical simulations of ambipolar diffusion in NS cores in the one-fluid approximation: instability of poloidal magnetic field
- Lagrangian perturbation theory for a superfluid immersed in an elastic neutron star crust
- Short-period pulsar oscillations following a glitch
- Spin paramagnetic deformation of a neutron star
- Magnetized neutron stars with superconducting cores: Effect of entrainment
- Non-axisymmetric magnetic modes of neutron stars with purely poloidal magnetic fields
- Josephson currents in neutron stars
- Magnetic field evolution of accreting neutron stars
- Mixing of charged and neutral Bose condensates at nonzero temperature and magnetic field
- Oscillating Magnetized Color Superconducting Quark Stars
- Superconductivity in magnetars: Exploring type-I and type-II states in toroidal magnetic fields
- Diffusion in superfluid Fermi mixtures: General formalism
- Vortex pinning in the superfluid core of relativistic neutron stars
- Signatures of magnetic flux expulsion from neutron star cores
- Oscillatory superfluid Ekman pumping in Helium II and neutron stars
- Differential rotation in neutron stars with open and closed magnetic topologies
- Superfluid Spin-up: 3D Simulations of Post-Glitch Dynamics in Neutron Star Cores
- Fluxtube Dynamics in Neutron Star Cores
- On the screening condition in the core of neutron stars
- Surface energy of magnetized superconducting matter in the neutron star cores
- Magnetic coupling through flux branching of adjacent type-I and -II superconductors in a neutron star
- Wave-optical effects in the microlensing of continuous gravitational waves by star clusters
- Flux tube clustering from magnetic coupling of adjacent type-I and -II superconductors in a neutron star: persistent gravitational radiation
- Multicomponent Superfluids and Superconductors in Dense Nuclear and Quark Matter
- Dissipative superfluid relativistic magnetohydrodynamics of a multicomponent fluid: the combined effect of particle diffusion and vortices