利用卡尔曼滤波测量105个UTMOST脉冲星的地壳-超流耦合时间尺度
Measuring the crust-superfluid coupling time-scale for 105 UTMOST pulsars with a Kalman filter
AI总结：
利用卡尔曼滤波对105个UTMOST脉冲星的地壳-超流耦合时间尺度进行估计，发现其与自转角速度和自转减缓率存在标度关系。
摘要：
地壳-超流耦合在中子星自转中起重要作用，特别是在定时噪声和突变现象中。本文通过卡尔曼滤波处理脉冲到达时间，对UTMOST数据集中105个射电脉冲星的地壳-超流耦合时间尺度τ进行了新的定时噪声基估计。105个对象被选择是因为它们更倾向于双组分地壳-超流模型而非单组分模型，具有对数贝叶斯因子ln B_F ≥ 5。τ的中位数估计范围从PSR J2241-5236的10^{4.6±0.4}秒到PSR J1644-4559的10^{7.7^{+0.7}_{-0.4}}秒，其中28个对象具有尖锐的τ后验分布。对101个常规对象（即非再循环或磁星）进行了分层贝叶斯分析，这些对象位于Ω_c-\dotΩ_c平面的密集核心区域。结果返回了群体层面的标度关系τ∝Ω_c^{0.19^{+0.50}_{-0.52}} |\dotΩ_c|^{0.18^{+0.18}_{-0.19}}，其中Ω_c和\dotΩ_c分别是地壳的角速度和自转减缓率。还分别估计了随机地壳和超流扭矩的方差，分别为Q_c ∝ Ω_c^{1.23^{+0.80}_{-0.75}} |\dotΩ_c|^{0.49^{+0.27}_{-0.32}}和Q_s ∝ Ω_c^{0.71^{+0.76}_{-0.78}} |\dotΩ_c|^{1.27^{+0.30}_{-0.28}}。简要讨论了地壳-超流耦合的物理起源，例如通过相互摩擦。
英文摘要：
Crust-superfluid coupling plays an important role in neutron star rotation, particularly with respect to timing noise and glitches. Here, we present new timing-noise-based estimates of the crust-superfluid coupling time-scale \(τ\) for 105 radio pulsars in the UTMOST dataset, by Kalman filtering the pulse times of arrival. The 105 objects are selected because they favor a two-component, crust-superfluid model over a one-component model with log Bayes factor \(\ln \mathfrak{B}_{\rm BF} \geq 5\). The median estimate of \(τ\) ranges from \(10^{4.6\pm0.4}\)\,s for PSR J2241$-$5236 to \(10^{7.7^{+0.7}_{-0.4}}\)\,s for PSR J1644$-$4559 among 28 out of 105 objects with sharply peaked \(τ\) posteriors. A hierarchical Bayesian analysis is performed on 101 out of 105 objects that are canonical (i.e.\ neither recycled nor magnetars) and reside in the populous core of the \(Ω_{\rm c}\)-\(\dotΩ_{\rm c}\) plane. It returns the population-level scaling \(τ\propto Ω_{\rm c}^{0.19^{+0.50}_{-0.52}} |\dotΩ_{\rm c}|^{0.18^{+0.18}_{-0.19}}\), where \(Ω_{\rm c}\) and \(\dotΩ_{\rm c}\) are the angular velocity and spin-down rate of the crust respectively. The variances of the stochastic crust and superfluid torques are also estimated hierarchically, with \(Q_{\rm c} \propto Ω_{\rm c}^{1.23^{+0.80}_{-0.75}} |\dotΩ_{\rm c}|^{0.49^{+0.27}_{-0.32}}\) and \(Q_{\rm s} \propto Ω_{\rm c}^{0.71^{+0.76}_{-0.78}} |\dotΩ_{\rm c}|^{1.27^{+0.30}_{-0.28}}\) respectively. Implications for the physical origin of crust-superfluid coupling, e.g.\ through mutual friction, are discussed briefly.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
