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arXiv 2602.13952astro-ph.SR
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三维日冕板中的kink模式:群速及其对 impulsively 激发波的启示

Three-dimensional kink modes in solar coronal slabs: group velocities and their implications for impulsively excited waves

Shandong University(山东大学)

Jing Liu, Bo Li, Mijie Shi, Mingzhe Guo, Hui Yu

AI总结:

本研究探讨了三维日冕板中kink模式的群速特性及其对impulsively激发波的影响,通过分析不同子组的波速分布,揭示了日冕塞司托学中的关键物理机制。

摘要:

在日冕塞司托学中,对三维(3D)MHD波的群速研究关注较少。本研究旨在对被限制在日冕板中的三维kink模式的群速进行较为全面的考察,强调模式分析与模式特征以及impulsively激发的三维kink波之间的联系。我们采用线性、理想、无压的MHD理论,将平衡板结构仅在横向的一个方向上对称。通过数值求解色散关系,并通过深入的分析进展来理解结果。我们处理了横向基模及其第一泛音。我们开发了一个三子组方案,用于对平面内轴向和法向波数所张成的平面上的三维kink模式进行分类。群速($\vec{v}_{\rm gr}$)和相速($\vec{v}_{\rm ph}$)位于平衡磁场($\vec{B}_0$)的同侧,对于“$\vec{B}_0$-same-side A”和“$\vec{B}_0$-same-side F”子组,进一步通过$\vec{v}_{\rm gr}$和$\vec{B}_0$的方向相似性进行区分。而“$\vec{B}_0$-straddling”子组则独特之处在于$\vec{v}_{\rm gr}$和$\vec{v}_{\rm ph}$位于$\vec{B}_0}$的两侧,这一特征在无压MHD中无界均匀介质中的波中无法找到。该“$\vec{B}_0$-straddling”子组涉及基模及其泛音。我们进一步将结果置于impulsive波的背景下,采用驻相法预测平衡板对称平面中大时间波前形态。指向$\vec{B}_0$的波前仅来自“$\vec{B}_0$-straddling”模式,并被限制在狭窄的扇区中。

英文摘要:

Little attention has been paid to group velocities of three-dimensional (3D) MHD waves in solar coronal seismology. This study aims to present a rather comprehensive examination on the group velocities of trapped 3D kink modes in coronal slabs, emphasizing the connection of mode analysis to both mode characterization and impulsively excited 3D kink waves. We work in linear, ideal, pressureless MHD, and take the equilibrium slab to be symmetrically structured only in one transverse direction. The dispersion relation is numerically solved, with the results understood by making in-depth analytical progress. We address both the transverse fundamental and its first overtone. We develop a three-subgroup scheme for categorizing 3D kink modes on the plane spanned by the axial and out-of-plane wavenumbers. The group ($\vec{v}_{\rm gr}$) and phase velocities ($\vec{v}_{\rm ph}$) sit on the same side of the equilibrium magnetic field ($\vec{B}_0$) for the ``$\vec{B}_0$-same-side A'' and ``$\vec{B}_0$-same-side F'' subgroups, which are further discriminated by the directional similarity of $\vec{v}_{\rm gr}$ and $\vec{B}_0$. The ``$\vec{B}_0$-straddling'' subgroup is peculiar in that $\vec{v}_{\rm gr}$ and $\vec{v}_{\rm ph}$ lie astride $\vec{B}_0$, a feature that cannot be found for waves in unbounded uniform media in pressureless MHD. This ``$\vec{B}_0$-straddling'' subgroup pertains to both the fundamental and its overtones. We further place our results in the context of impulsive waves, employing the method of stationary phase to predict the large-time wavefront morphology in the plane of symmetry of the equilibrium slab. Wavefronts directed toward $\vec{B}_0$ derive exclusively from ``$\vec{B}_0$-straddling'' modes, and are confined to narrow sectors.

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。

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