Long-term statistics of pulsar glitches due to history-dependent avalanches

Abstract

Stress accumulation-relaxation meta-models of pulsar glitches make precise, microphysics-agnostic predictions of long-term glitch statistics, which can be falsified by existing and future timing data. Previous meta-models assume that glitches are triggered by an avalanche process, e.g. involving superfluid vortices, and that the probability density function (PDF) of the avalanche sizes is history-independent and specified exogenously. Here a recipe is proposed to generate the avalanche sizes endogenously in a history-dependent manner, by tracking the thresholds of occupied vortex pinning sites as a function of time. Vortices unpin spasmodically from sites with thresholds below a global, time-dependent stress and repin at sites with thresholds above the global stress, imbuing the system with long-term memory. The meta-model predicts PDFs, auto- and cross-correlations for glitch sizes and waiting times, which are provisionally inconsistent with current observations, unlike some previous meta-models (e.g. state dependent Poisson process), whose predictions are consistent. The theoretical implications are intriguing, albeit uncertain, because history-dependent avalanches embody faithfully the popular, idealized understanding in the literature of how vortex unpinning operates as a driven, stochastic process. The meta-model predicts aftershocks, which occur with larger than average sizes and longer than average waiting times after the largest, system-resetting glitches. This prediction will be tested, once more data are generated by the next generation of pulsar timing campaigns.

18 pages, 11 figures. Accepted for publication in ApJ

References in corpus (17)

• Models of Pulsar Glitches
• Avalanche dynamics of radio pulsar glitches
• Predicting the Starquakes in PSR J0537-6910
• Transitions between turbulent and laminar superfluid vorticity states in the outer core of a neutron star
• Autoregressive Times Series Methods for Time Domain Astronomy
• A hydrodynamical trigger mechanism for pulsar glitches
• 30 Glitches in slow pulsars
• The UTMOST pulsar timing programme II: Timing noise across the pulsar population
• Unpinning triggers for superfluid vortex avalanches
• Quantum calculation of vortices in the inner crust of neutron stars
• Superfluid vortex unpinning as a coherent noise process, and the scale invariance of pulsar glitches
• Pulsar glitch detection with a hidden Markov model
• Turbulent, pinned superfluids in neutron stars and pulsar glitch recoveries
• Generating quasiperiodic pulsar glitches using a state-dependent Poisson process
• Collective, glitch-like vortex motion in a neutron star with an annular pinning barrier
• Simulating pulsar glitches: an $N$-body solver for superfluid vortex motion in two dimensions
• Pulsar glitch activity as a state-dependent Poisson process: parameter estimation and epoch prediction

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