Glitch time series and size distributions in eight prolific pulsars

Glitches are rare spin-up events that punctuate the smooth slow-down of the rotation of pulsars. For the Vela pulsar and PSR J0537-6910, the glitch sizes and the times between consecutive events have clear preferred scales, contrary to the handful of other pulsars with enough glitches for such a study. Moreover, PSR J0537-6910 is the only pulsar showing a strong positive correlation between the size of each glitch and the waiting time until the following one. We attempt to understand this behavior through a detailed study of the distributions and correlations of glitch properties for the eight pulsars with at least ten detected glitches. We model the distributions of glitch sizes and times between consecutive glitches for this sample and perform Monte Carlo simulations to explore two hypotheses that could explain why the correlation is so much weaker in other pulsars than in PSR J0537-6910. We confirm the above results for the Vela pulsar and PSR J0537-6910, and verify that the latter is the only pulsar with a strong correlation between glitch size and waiting time to the following glitch. For the remaining six pulsars, the waiting time distributions are best fitted by exponentials, and the size distributions either by power laws, exponentials, or log-normal functions. Some pulsars in the sample yield significant Pearson and Spearman coefficients ($r_p$ and $r_s$) for the aforementioned correlation. Moreover, for all except the Crab, both coefficients are positive. Our simulations show that the weaker correlations in pulsars other than PSR J0537$-$6910 cannot be due to missing glitches too small to be detected. We also tested the hypothesis that each pulsar may have two kinds of glitches, namely large, correlated ones and small, uncorrelated ones. We found for all pulsars that their glitches are not consistent with a pure uncorrelated population either.