Journal article
Pulsar Glitch Activity as a State-dependent Poisson Process: Parameter Estimation and Epoch Prediction
A Melatos, LV Drummond
Astrophysical Journal | IOP PUBLISHING LTD | Published : 2019
Abstract
Rotational glitches in some rotation-powered pulsars display power-law size and exponential waiting-time distributions. These statistics are consistent with a state-dependent Poisson process, where the glitch rate is an increasing function of a global stress variable (e.g., crust-superfluid angular velocity lag), diverges at a threshold stress, increases smoothly while the star spins down, and decreases step-wise at each glitch. A minimal, seven-parameter, maximum likelihood model is calculated for PSR J1740-3015, PSR J0534+2200, and PSR J0631+1036, the three objects with the largest samples whose glitch activity is Poisson-like. The estimated parameters have theoretically reasonable values ..
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Grants
Awarded by Australian Research Council Centre of Excellence for Gravitational Wave Discovery (OzGrav)
Funding Acknowledgements
This research was supported by the Australian Research Council Centre of Excellence for Gravitational Wave Discovery (OzGrav), grant No. CE170100004. The authors thank Julian Carlin for enlightening conversations about stochastic processes in general and the state-dependent Poisson model of pulsar glitches in particular. The data analyzed in the paper are drawn from the Jodrell Bank Observatory glitch catalog at http://www.jb.man.ac.uk/pulsar/glitches/gTable.html. Figures were prepared with the "Cornerplot" and "Plot and compare histograms" tools in the MATLAB File Exchange, authored by W. Adler and J. Lansey, respectively.