2013/07/24 by Yi Xie, Shuang-Nan Zhang, Shuang‐Nan Zhang +2 · 1 citation
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Physics and Astronomy · #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #Geophysics and Gravity Measurements #High Energy Astrophysical Phenomena (astro-ph.HE) #Pulsars and Gravitational Waves Research #Solar and Stellar Astrophysics (astro-ph.SR) #astro-ph.HE #astro-ph.SR
paper · pdf · doi:10.48550/arxiv.1307.6413
This is the third of our series of papers on pulsar timing noise. The first two are: ApJ, 2012, 757, 153; ApJ, 2012, 761, 102. Referee comments and suggestions are already incorporated in this version
openalex publication_date 2013/07/24 · arxiv created 2013/07/25 · arxiv updated 2013/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We model the evolution of spin frequency's second derivative ν and braking index n of radio pulsars with simulations within the phenomenological model of their surface magnetic field evolution, which contains a long-term decay modulated by short-term oscillations. For the pulsar PSR B0329+54, the model can reproduce the main characteristics of its ν variation with oscillation periods, predicts another ∼ 50 yr oscillation component and another recent swing of the sign of ν. We show that the "averaged" n is different from the instantaneous n, and its oscillation magnitude decreases abruptly as the time span increases, due to the "averaging" effect. The simulation predicted timing residuals agree with the main features of the reported data. We further perform Monte Carlo simulations for the distribution of the reported data in |ν| versus characteristic age τ\rm c diagram. The model with a power law index α=0.5 can reproduce the slope of the linear fit to pulsars' distributions in the diagrams of log|ν|-logτ\rm c and log|n|-logτ\rm c, but the oscillations are responsible for the almost equal number of positive and negative values of ν, in agreement with our previous analytical studies; an oscillation period of about several decades is also preferred. However the range of the oscillation amplitudes is -11.4\lesssimlog f\lesssim-10.2, slightly lager than the analytical prediction, log f≃-11.85, because the "averaging" effect was not included previously.