Pulsar timing noise from superfluid turbulence

Abstract

Shear-driven turbulence in the superfluid interior of a neutron star exerts a fluctuating torque on the rigid crust, causing the rotational phase to walk randomly. The phase fluctuation spectrum is calculated analytically for incompressible Kolmogorov turbulence and is found to be red; the half-power point is set by the observed spin-down rate, the crust-superfluid lag, and the dynamical response time of the superfluid. Preliminary limits are placed on the latter quantities using selected time- and frequency-domain data. It is found that measurements of the normalization and slope of the power spectrum are reproduced for reasonable choices of the turbulence parameters. The results point preferentially to the neutron star interior containing a turbulent superfluid rather than a turbulent Navier-Stokes fluid. The implications for gravitational wave detection by pulsar timing arrays are discussed briefly.

27 pages, 3 figures, accepted for publication in Monthly Notices of the Royal Astronomical Society

References in corpus (24)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• Switched magnetospheric regulation of pulsar spin-down
• Assessing the Role of Spin Noise in the Precision Timing of Millisecond Pulsars
• The Spectrum of Gravitational Radiation from Primordial Turbulence
• Detection of 107 glitches in 36 southern pulsars
• Avalanche dynamics of radio pulsar glitches
• Gravitational wave emission from a magnetically deformed non-barotropic neutron star
• Shear viscosity in neutron star cores
• Transitions between turbulent and laminar superfluid vorticity states in the outer core of a neutron star
• Turbulent velocity spectra in superfluid flows
• High signal-to-noise ratio observations and the ultimate limits of precision pulsar timing
• 30 Glitches in slow pulsars
• Unpinning triggers for superfluid vortex avalanches
• Superfluid turbulence and pulsar glitch statistics
• Quantum turbulence in propagating superfluid vortex front
• A Cellular Automaton Model of Pulsar Glitches
• Stochastic gravitational wave background from hydrodynamic turbulence in differentially rotating neutron stars
• Superfluid vortex unpinning as a coherent noise process, and the scale invariance of pulsar glitches
• A strong $\ddot{\nu }-\dot{\nu }$ correlation in radio pulsars with implications for torque variations
• Lagrangian statistics of light particles in turbulence
• Instability of Superfluid Flow in the Neutron Star Core
• Fast fossil rotation of neutron star cores
• Time-Correlated Structure in Spin Fluctuations in Pulsars
• Interpreting superfluid spin up through the response of the container

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