arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.13310astro-ph.HEastro-ph.GAcond-mat.quant-gasphysics.flu-dyn
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旋转自引力玻色-爱因斯坦凝聚体与地壳:脉冲星故障的极小模型

Rotating self-gravitating Bose-Einstein condensates with a crust: a minimal model for pulsar glitches

Akhilesh Kumar Verma, Rahul Pandit, Marc E. Brachet

摘要:

我们通过在三维Gross-Pitaevskii-Poisson方程(GPPE)中引入固体-地壳势来发展\textit{pulsar glitches}的极小模型,我们已经使用它来研究引力束缚的玻色-爱因斯坦凝聚体(BEC),即,玻色子恒星在没有地壳的潜力,我们表明,如果我们旋转这样的玻色子恒星,它是由漩涡线程。然后,我们表明,通过广泛的直接数值模拟(DNSs),这些涡旋与地壳潜力的相互作用产生(a)粘滑动力学和(b)动力学故障。我们证明,如果有足够的动量转移到地壳的玻色子恒星,然后从恒星和地壳的角动量$J_c$驱逐旋涡表现出的功能,可以解释为自然故障。从$J_c$的时间序列,我们计算事件大小,事件持续时间和等待时间的累积概率分布函数(CPDF)。我们发现,这些CPDF的自组织临界性(SOC),这已经看到在脉冲星毛刺的观测签名。

英文摘要:

We develop a minimal model for \textit{pulsar glitches} by introducing a solid-crust potential in the three-dimensional (3D) Gross-Pitaevskii-Poisson equation (GPPE), which we have used earlier to study gravitationally bound Bose-Einstein Condensates (BECs), i.e., bosonic stars. In the absence of the crust potential, we show that, if we rotate such a bosonic star, it is threaded by vortices. We then show, via extensive direct numerical simulations (DNSs), that the interaction of these vortices with the crust potential yields (a) stick-slip dynamics and (b) dynamical glitches. We demonstrate that, if enough momentum is transferred to the crust from the bosonic star, then the vortices are expelled from the star and the crust's angular momentum $J_c$ exhibits features that can be interpreted naturally as glitches. From the time series of $J_c$, we compute the cumulative probability distribution functions (CPDFs) of event sizes, event durations, and waiting times. We show that these CPDFs have signatures of self-organized criticality (SOC), which have been seen in observations on pulsar glitches.

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