arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.05584astro-ph.SR
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非对称磁环境中磁性板中的磁声波II:薄而宽的板,热的和冷的等离子体

Magneto-acoustic waves in a magnetic slab embedded in an asymmetric magnetic environment II: Thin and wide slabs, hot and cold plasmas

Noémi Kinga Zsámberger, Róbert Erdélyi

摘要:

波在磁结构大气中的传播是太阳磁震学研究领域中一个深入而又实际上取之不尽的研究领域。一个简单而有力的例子是对磁性板中波动行为的检验。我们以前的研究(Zsámberger,Allcock和Erdélyi,Astrophys. J.,853,第136页,2018年)使用分析方法推导出均匀等离子体的磁性板中磁声波的一般色散关系,该等离子体封闭在非对称磁环境中。在本研究中,我们集中在各种限制适用于太阳和空间等离子体或天体物理的情况下的波传播的分析。薄板和宽板近似,以及低和高等离子体β值的限制被认为是。利用这一事实,在弱非对称板,色散关系可以解耦,准香肠和准扭结模式的行为进行了研究,进一步分析和数值细节,并避免交叉描述。结果突出了不对称性如何影响波的性质,例如本征模的相速度,取决于内外密度和两侧磁场的比率。值得注意的是,表面模式的相速度将收敛到不同的值,准香肠和准扭结模式在宽板的限制,和截止频率引入相对于表面和体模,在薄以及宽板,超过该解决方案成为泄漏。这些获得的MHD波行为的属性可以测量与合适的高分辨率仪器在未来。

英文摘要:

Wave propagation in magnetically structured atmospheres is a thoroughly studied, yet practically inexhaustible well of investigations in the field of solar magneto-seismology. A simple but powerful example is the examination of wave behaviour in a magnetic slab. Our previous study (Zsámberger, Allcock and Erdélyi, Astrophys. J., 853, p. 136, 2018) used an analytical approach to derive the general dispersion relation for magneto-acoustic waves in a magnetic slab of homogeneous plasma, which was enclosed in an asymmetric magnetic environment. In the present study, we focus on the analysis of wave propagation in various limiting cases applicable to solar and space plasma or astrophysics. The thin- and wide-slab approximations, as well as the limits of low and high plasma-beta values are considered. Utilising the fact that in a weakly asymmetric slab, the dispersion relation can be decoupled, the behaviour of quasi-sausage and quasi-kink modes is studied in further analytical and numerical detail, and their avoided crossings are described. The results highlight how the asymmetry influences the wave properties, e.g. the phase speed of eigenmodes, depending on the ratios of external-to-internal densities and magnetic fields on the two sides. Notably, the phase speeds of surface modes will converge to different values for quasi-sausage and quasi-kink modes in the wide-slab limit, and cut-off frequencies are introduced with respect to both surface and body modes, in thin as well as wide slabs, beyond which the solutions become leaky. These obtained properties of MHD wave behaviour could be measured with suitable high-resolution instruments in the future.

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