Parameter estimation of a two-component neutron star model with spin wandering
arXiv:2101.12421 · doi:10.1093/mnras/stab262
Abstract
It is an open challenge to estimate systematically the physical parameters of neutron star interiors from pulsar timing data while separating spin wandering intrinsic to the pulsar (achromatic timing noise) from measurement noise and chromatic timing noise (due to propagation effects). In this paper we formulate the classic two-component, crust-superfluid model of neutron star interiors as a noise-driven, linear dynamical system and use a state-space-based expectation-maximization method to estimate the system parameters using gravitational-wave and electromagnetic timing data. Monte Carlo simulations show that we can accurately estimate all six parameters of the two-component model provided that electromagnetic measurements of the crust angular velocity, and gravitational-wave measurements of the core angular velocity, are both available. When only electromagnetic data are available we can recover the overall relaxation time-scale, the ensemble-averaged spin-down rate, and the strength of the white-noise torque on the crust. However, the estimates of the secular torques on the two components and white noise torque on the superfluid are biased significantly.
arXiv comment16 pages, 8 figures. Accepted for publication in MNRAS
References in corpus (90)
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- Advanced Virgo: a 2nd generation interferometric gravitational wave detector
- Multi-messenger Observations of a Binary Neutron Star Merger
- Advanced LIGO
- GW170817: Measurements of Neutron Star Radii and Equation of State
- PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
- A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
- Interferometer design of the KAGRA gravitational wave detector
- Observations of Accreting Pulsars
- The Equation of State of Hot, Dense Matter and Neutron Stars
- Switched magnetospheric regulation of pulsar spin-down
- Color superconducting quark matter
- A study of 315 glitches in the rotation of 102 pulsars
- Deformations of Accreting Neutron Star Crusts and Gravitational Wave Emission
- Pulsar Constraints on Neutron Star Structure and Equation of State
- Models of Pulsar Glitches
- An analysis of the timing irregularities for 366 pulsars
- Neutron star magnetic field evolution, crust movement and glitches
- Cooling neutron stars and superfluidity in their interiors
- A NICER view of PSR J0030+0451: Implications for the dense matter equation of state
- Pulsar glitches: The crust is not enough
- Multi-messenger Bayesian parameter inference of a binary neutron-star merger
- Assessing the Role of Spin Noise in the Precision Timing of Millisecond Pulsars
- Measurement and correction of variations in interstellar dispersion in high-precision pulsar timing
- Neutron conduction in the inner crust of a neutron star in the framework of the band theory of solids
- Episodic Accretion on to Strongly Magnetic Stars
- Crustal Entrainment and Pulsar Glitches
- Constraining the Neutron Star Mass-Radius Relation and Dense Matter Equation of State with NICER. I. The Millisecond Pulsar X-ray Data Set
- Magnetohydrodynamics of superfluid and superconducting neutron star cores
- Unstable Disk Accretion to Magnetized Stars: First Global 3D MHD Simulations
- The Propeller Regime of Disk Accretion to a Rapidly Rotating Magnetized Star
- Mountains on Neutron Stars: Accreted vs. Non-Accreted crusts
- Gravitational Radiation from an Accreting Millisecond Pulsar with a Magnetically Confined Mountain
- From Spin Noise to Systematics: Stochastic Processes in the First International Pulsar Timing Array Data Release
- Gravitational Waves: Sources, Detectors and Searches
- Timing of young radio pulsars I: Timing noise, periodic modulation and proper motion
- The dynamics of pulsar glitches: Contrasting phenomenology with numerical evolutions
- Identifying and mitigating noise sources in precision pulsar timing data sets
- A Flux-Conservative Formalism for Convective and Dissipative Multi-Fluid Systems, with Application to Newtonian Superfluid Neutron Stars
- Hidden Markov model tracking of continuous gravitational waves from a neutron star with wandering spin
- The NANOGrav Nine-Year Data Set: Excess Noise in Millisecond Pulsar Arrival Times
- Gross-Pitaevskii model of pulsar glitches
- Mesoscopic pinning forces in neutron star crusts
- Neutron Stars in the Laboratory
- Superfluidity and Superconductivity in Neutron Stars
- Pulsar timing noise from superfluid turbulence
- Global three-dimensional flow of a neutron superfluid in a spherical shell in a neutron star
- Gravitational wave emission from rotating superfluid neutron stars
- Modelling pulsar glitches with realistic pinning forces: a hydrodynamical approach
- The NANOGrav Nine-year Data Set: Monitoring Interstellar Scattering Delays
- The UTMOST pulsar timing programme II: Timing noise across the pulsar population
- Vortex Creep Against Toroidal Flux Lines, Crustal Entrainment, and Pulsar Glitches
- Superfluid turbulence and pulsar glitch statistics
- The UTMOST pulsar timing programme I: overview and first results
- Knock-on processes in superfluid vortex avalanches and pulsar glitch statistics
- Gravitational wave research using pulsar timing arrays
- The Thousand-Pulsar-Array programme on MeerKAT I: Science objectives and first results
- Timing of young radio pulsars II. Braking indices and their interpretation
- Pulsar glitch recovery and the superfluidity coefficients of bulk nuclear matter
- The Effect of Quantized Magnetic Flux Lines on the Dynamics of Superfluid Neutron Star Cores
- Vortex-nucleus interaction in the inner crust of neutron stars
- Hidden Markov model tracking of continuous gravitational waves from young supernova remnants
- Hidden Markov model tracking of continuous gravitational waves from a binary neutron star with wandering spin. II. Binary orbital phase tracking
- Glitch rises as a test for rapid superfluid coupling in neutron stars
- Quadrupole moment of a magnetically confined mountain on an accreting neutron star: effect of the equation of state
- Accretion-induced spin-wandering effects on the neutron star in Scorpius X-1: Implications for continuous gravitational wave searches
- Mode switching and oscillations in PSR B1828-11
- Stability of interlinked neutron vortex and proton flux tube arrays in a neutron star: equilibrium configurations
- Gravitational Radiation from Hydrodynamic Turbulence in a Differentially Rotating Neutron Star
- Ekman Pumping in Compact Astrophysical Bodies
- Size-waiting-time correlations in pulsar glitches
- Stability of interlinked neutron vortex and proton flux tube arrays in a neutron star. II. Far-from-equilibrium dynamics
- Fast fossil rotation of neutron star cores
- Investigating superconductivity in neutron star interiors with glitch models
- Modelling pulsar glitches: the hydrodynamics of superfluid vortex avalanches in neutron stars
- Persistent crust-core spin lag in neutron stars
- Neutron star dynamics under time dependent external torques
- Axially symmetric equations for differential pulsar rotation with superfluid entrainment
- Pulsar timing noise and the minimum observation time to detect gravitational waves with pulsar timing arrays
- Is there a spectral turnover in the spin noise of millisecond pulsars?
- Time-Correlated Structure in Spin Fluctuations in Pulsars
- Diagnostics of timing noise in middle aged pulsars
- Millisecond Pulsar Scintillation Studies with LOFAR: Initial Results
- Hydrodynamic simulations of pulsar glitch recovery
- Deconvolving Pulsar Signals with Cyclic Spectroscopy: A Systematic Evaluation
- Pulse Frequency Fluctuations of Magnetars
- A possible way to reconcile long-period precession with vortex pinning in neutron stars
- Electromagnetic spin down of a transient accreting millisecond pulsar during quiescence
- Cooling of the Cassiopeia A neutron star and the effect of diffusive nuclear burning
- Differential rotation in neutron stars with open and closed magnetic topologies
Cited by in corpus (14)
- The Science of the Einstein Telescope
- Evaluating the prevalence of spurious correlations in pulsar timing array datasets
- Insights into the physics of neutron star interiors from pulsar glitches
- Stochastic processes for pulsar timing noise: fluctuations in the internal and external torques
- Rapid parameter estimation of a two-component neutron star model with spin wandering using a Kalman filter
- Inferring neutron star properties with continuous gravitational waves
- Apparent dispersion in pulsar braking index measurements caused by timing noise
- Tracking hidden magnetospheric fluctuations in accretion-powered pulsars with a Kalman filter
- Pulse Frequency Fluctuations of Persistent Accretion Powered Pulsars
- On the Angular Momentum Extraction from the Rotation Powered Pulsars
- How much spin wandering can continuous gravitational wave search algorithms handle?
- Hierarchical Bayesian estimation of population-level torque law parameters from anomalous pulsar braking indices
- Pulse frequency variations and timing noise of MXB 0656-072 during the 2007-2008 type I outbursts and implications for its magnetic field
- Measuring the crust-superfluid coupling time-scale for 105 UTMOST pulsars with a Kalman filter