优先级 85 · 磁星 / 软伽马重复暴 SGR
Large ${\rm Pm}$ small-scale kinematic dynamo in protoneutron stars
原初中子星中大 Pm 小尺度运动发电机
✉ Shipra Verma (Department of Physics, Indian Institute of Technology Kharagpur, West Bengal, 721302, India), Kannabiran Seshasayanan (Department of Applied Mechanics & Biomedical Engineering, Indian Institute of Technology Madras, Chennai, 600036, India), Raphaël Raynaud (Université Paris Cité, Université Paris-Saclay, CEA, CNRS, AIM, F-91191 Gif-sur-Yvette, France) et al.
原文摘要Abstract
Magnetars are young, isolated neutron stars that possess an exceptionally strong magnetic field, with surface dipolar strengths on the order of $10^{15}$ G. One of the plausible scenarios for generating such a strong field is an exponential amplification by a turbulent convective dynamo during the protoneutron star phase. However, the short expected duration of the convection ($\sim 10$ s) imposes a stringent constraint on the dynamo growth rate. We perform an extensive set of 82 three-dimensional convective dynamo simulations in the anelastic approximation and investigate the kinematic phase to quantify the dynamo growth rate $γ$. We find that $γ$ increases with both the magnetic Prandtl number ${\rm Pm}$ and the Rayleigh number ${\rm Ra}$, with the most unstable mode becoming highly non-axisymmetric and multipolar. We further observe a gradual transition from large-scale to small-scale dynamo as the magnetic Reynolds number ${\rm Rm}$ increases, resulting in a magnetic field that is predominantly concentrated at small scales. The trend remains unchanged when the outer magnetic boundary condition is varied. Since resolving the increasingly small scales becomes numerically impractical, we employ the theoretical small-scale Kazantsev dynamo model to explore the large ${\rm Pm}$ regime characteristic of protoneutron stars. The model qualitatively captures the growth rate behaviour observed in simulations and, upon extrapolation to the large ${\rm Pm}$ limit, indicates that $γ$ is only weakly dependent on the resistivity in a PNS. Under conditions relevant to the PNS, this model predicts a magnetic energy growth rate of the order of $\sim 1$ ms$^{-1}$.
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AI 综述
AI-generated · 以原文为准
亮点结合全局三维 DNS 与 Kazantsev 小尺度发电机模型,首次定量给出 PNS 磁能增长率约 1 ms^-1,表明小尺度发电机在 PNS 中高效;发现最不稳定模态随 Rm 增大变为非轴对称多极,外磁场边界条件影响很小。
脉络与展望磁星强场的起源中,Raynaud 等曾用全局对流发电机模拟支持 PNS 阶段放大 Raynaud+ 2020,但 Lander 对大 Pm 下发电机效率提出质疑 Lander 2021。本文以 82 组三维运动学模拟承接这一争议,揭示增长率随 Pm 与 Ra 增大而趋于饱和,且随 Rm 增大磁场由大尺度 αΩ 波转为小尺度、非轴对称多极结构。方法上,本文把 DNS 统计的涡旋参数代入 Kazantsev 小尺度发电机模型 Schober+ 2012 外推,预测 PNS 磁能增长时间约 1 ms,远短于对流持续时间;这为量化 PNS 发电机效率提供了第一份系统估计。未来需在非线性饱和、旋转与分层更真实条件下检验;与此同时,高 Pm 的 MRI 发电机研究 Guilet+ 2022 亦在推进,可能共同描绘 PNS 磁化的完整图像。
预印本 2026-09-15 · 刊出 2026-07-28 · 收录 2026-09-16