自相似磁拱廊
Self-Similar Magnetic Arcades
摘要：
研究了方位对称和拱状拓扑下无力磁场的自相似解析解。我们假设存在一个极向磁场，锚定在一个沉重的球形导体。由于差动旋转，通过剪切拱廊的足点来改变场。这种旋转引起磁结构中的环形分量，其通过向外扩展极向通量而起作用。这在早期阶段可能是一个缓慢的过程，但在最后阶段，当极向通量扩展到无穷大时，它变得非常快。我们解决的问题的压力环境限制的拱廊，压力分布成正比的$r^{-4}$是特别有趣的，因为它允许有限的扭曲之前，该领域扩大到无穷大。最后，一些时间演化估计表明本研究的局限性。
英文摘要：
We study self-similar analytical solutions for force-free magnetic field in azimuthal symmetry and arcade topology. We assume the existence of a poloidal magnetic field, anchored on a heavy spherical conductor. The field is changed by shearing the foot points of the arcade due to differential rotation. This rotation gives rise to a toroidal component in the magnetic structure which reacts by expanding the poloidal flux outwards. This could be a slow process at the early stages, however it becomes very fast at the final stages when the poloidal flux expands to infinity. We address the question of the pressure environment confining the arcade, a pressure profile proportional to $r^{-4}$ is particularly interesting as it allows finite twist before the field expands to infinity. Finally, some time evolution estimates are made to demonstrate the limitations of this study.
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