涡旋钉扎与中子星地壳的弹性响应——I.轴对称加载
Vortex pinning and the elastic response of neutron-star crusts - I. Axisymmetric loading
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中文总结 AI 辅助
本文研究中子星地壳对涡旋钉扎载荷的轴对称弹性响应，采用真实恒星背景与剪切模量，发现应力定位由弹性-引力再分布产生，地壳预应力无法单独破坏初始松弛的地壳。
中文摘要 AI 辅助
涡旋钉扎是脉冲星 glitch 标准解释的核心，但与角动量储库相比，钉扎涡旋阵列对固态地壳施加的机械载荷受到的关注较少。我们利用真实的 SLy4 和 BSk21 恒星背景以及与成分相关的库仑剪切模量，计算连续分层中子星地壳对该载荷的轴对称弹性响应。超流体-地壳滞后决定了 Magnus 力，而 Seveso 等人（2016）提出的介观钉扎力提供了局部上限。在低滞后时，响应呈线性；随后逐步的局部饱和产生宽过渡区和有限的高滞后包络。应力最大值始终位于朝向自转轴的深地壳边界，尽管轴上局部 Magnus 力消失，表明这种定位是由全局弹性-引力再分布产生的。与常用的 μ=10⁻² P 规定相比，真实弹性使应力幅度变化了 10-20%，并反转了 SLy4-BSk21 的排序。在类似 Vela 的 10⁻² rad s⁻¹ 滞后下，最大应变仅为 3.1×10⁻⁵（SLy4）和 4.7×10⁻⁵（BSk21），在形式平台上仍低于 1.4×10⁻⁴。1.2-2.0 太阳质量的扫描使应力幅度仅变化约 20%，且深极定位保持不变。因此，钉扎提供了结构化且具有天体物理意义的地壳预应力，但本身无法破坏初始松弛的地壳。
英文摘要
Vortex pinning is central to the standard interpretation of pulsar glitches, but the mechanical load exerted by a pinned vortex array on the solid crust has received less attention than the angular-momentum reservoir itself. We calculate the axisymmetric elastic response of a continuously stratified neutron-star crust to this load using realistic SLy4 and BSk21 stellar backgrounds and composition-dependent Coulomb shear moduli. The superfluid-crust lag sets the Magnus force, while the mesoscopic pinning force of Seveso et al. (2016) provides a local upper bound. At low lag the response is linear; progressive local saturation then produces a broad transition and a finite high-lag envelope. The stress maximum is robustly located at the deep crustal boundary towards the rotation axis, although the local Magnus force vanishes on-axis, showing that the localization is produced by global elastic-gravitational redistribution. Realistic elasticity changes the stress amplitude by 10-20 per cent relative to the common mu=10^-2 P prescription and reverses the SLy4-BSk21 ordering. At a Vela-motivated lag of 10^-2 rad s^-1, the maximum strain is only 3.1 x 10^-5 (SLy4) and 4.7 x 10^-5 (BSk21), remaining below 1.4 x 10^-4 on the formal plateau. A 1.2-2.0 solar-mass scan changes the stress amplitude by only about 20 per cent and leaves the deep-polar localization unchanged. Pinning therefore supplies a structured and astrophysically relevant crustal pre-stress, but cannot by itself break an initially relaxed crust.
发表机构
- Istituto Leonardo da Vinci（列奥纳多·达·芬奇学院）
- Dipartimento di Scienze della Terra “Ardito Desio”, Università degli Studi di Milano（米兰大学地球科学系）
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