Quantum Mechanical Model Of Pulsar Glitches And Gravitational Waves

Details Quantum Mechanical Model Of Pulsar Glitches And Gravitational Waves Quantum Mechanical Model Of Pulsar Glitches And Gravitational Waves

Dec 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aas...21460507w&link_type=abstract

American Astronomical Society, AAS Meeting #214, #605.07

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Scientific paper

We present a quantum mechanical model of the timing irregularities (glitches) in pulsars. The model relies on the build up of differential rotation between the stellar crust and the interior superfluid due to the presence of pinned superfluid vortices. We employ the Gross-Pitaevskii equation to model computationally the dynamics of the superfluid condensate. By invoking conservation of angular momentum between the interior superfluid and the stellar crust, we provide proof of principle that stick-slip vortex motion, due to vortex pinning, can result in discrete changes in the spin frequency of the crust, analogous to glitches in pulsars. Using the time-varying superfluid velocity field (and hence time-varying current quadrupole moment), we calculate the amplitude, polarization, and frequency content of the burst gravitational wave signal from a single glitch, and cross-correlate the waveform with standard templates in burst pipelines. We also set out the conditions for the signal to be detectable by Advanced LIGO. Radio timing data show that glitch sizes follow a power law with an index that varies between pulsars, and the waiting times between successive glitches have a Poissonian distribution. Based on these statistical distributions, we estimate the combined stochastic gravitational wave signal emanating from a realistically distributed pulsar population in a Milky-Way-type galaxy.

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