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arXiv 2103.11756astro-ph.SR
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日珥线的引力不稳定性I。弯曲磁场无倾角

Gravitational instability of solar prominence threads I. Curved magnetic fields without dips

A. Adrover-González, J. Terradas, R. Oliver, M. Carbonell

摘要:

日珥线是一种密集而寒冷的结构,位于弯曲的磁场上,可以悬浮在太阳大气层中对抗重力。在没有非理想效应的情况下,线程的引力稳定性,在目前的工作中,通过一个基本的,但有效的模型进行了全面的研究。基于纯流体动力学方程在一个空间维度和应用线捆绑条件的足点的磁场线,我们推导出不同的可行的平衡和相应的振荡频率的解析表达式。我们发现,该系统允许稳定和不稳定的平衡解的线程的初始位置,其密度对比度和长度,和总长度的磁场线。这两种类型的解决方案之间的过渡产生在特定的分歧点,已确定在某些特定的情况下分析。当线程最初是在顶部的凹磁场,也就是在顶点,我们发现一个超临界的干草叉分叉,而对于一个移位的初始线程位置相对于这一点的对称性被打破,系统的特点是由一个S形分叉。本文中提出的平原结果揭示了新的光的线程在弯曲的磁场的重力存在下的行为,并有助于解释更复杂的数值磁流体动力学(MHD)模拟类似的结构。

英文摘要:

Prominence threads are dense and cold structures lying on curved magnetic fields that can be suspended in the solar atmosphere against gravity. The gravitational stability of threads, in the absence of non-ideal effects, is comprehensively investigated in the present work by means of an elementary but effective model. Based on purely hydrodynamic equations in one spatial dimension and applying line-tying conditions at the footpoints of the magnetic field lines, we derive analytical expressions for the different feasible equilibria and the corresponding frequencies of oscillation. We find that the system allows for stable and unstable equilibrium solutions subject to the initial position of the thread, its density contrast and length, and the total length of the magnetic field lines. The transition between the two types of solutions is produced at specific bifurcation points that have been determined analytically in some particular cases. When the thread is initially at the top of the concave magnetic field, that is at the apex, we find a supercritical pitchfork bifurcation, while for a shifted initial thread position with respect to this point the symmetry is broken and the system is characterised by an S-shaped bifurcation. The plain results presented in this paper shed new light on the behaviour of threads in curved magnetic fields under the presence of gravity and help to interpret more complex numerical magnetohydrodynamics (MHD) simulations about similar structures.

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