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arXiv 1011.0936astro-ph.SR
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关于由系结效应引起的快、慢MHD波之间的线性耦合

On the linear coupling between fast and slow MHD waves due to line-tying effects

J. Terradas, J. Andries, E. Verwichte

摘要:

日冕环中的振荡通常被解释为非耦合的磁流体动力学(MHD)波。这些波的例子是横向驻波运动,解释为扭结MHD模式,和传播慢模式,通常报告在环路的脚点。在这里,我们研究一个简单的系统中,快,慢磁流体动力学波耦合。我们的目标是了解当边界条件施加在模型中时耦合的指纹。解析地研究了反映光球系线效应的快、慢磁流体波与刚性边界相互作用的反射问题。传播和驻波进行了分析,并考虑这些波的激发的时间依赖性问题。斜入射到光球上的快MHD波不可避免地产生慢模。在光球层产生的慢模式的频率与入射的快MHD模式的频率完全相同,但其波长要小得多,假设声速小于阿尔文速度。所产生的慢波的主要特征是在环路足点处的密度波动。我们导出了一个简单的公式,该公式将横向驻模的速度振幅与由于驱动慢模而在足点处的密度增强联系起来。利用这些结果,它表明,有可能的证据,在这两个模式之间的耦合的观测。

英文摘要:

Oscillations in coronal loops are usually interpreted in terms of uncoupled magnetohydrodynamic (MHD) waves. Examples of these waves are standing transverse motions, interpreted as the kink MHD modes, and propagating slow modes, commonly reported at the loop footpoints. Here we study a simple system in which fast and slow MHD waves are coupled. The goal is to understand the fingerprints of the coupling when boundary conditions are imposed in the model. The reflection problem of a fast and slow MHD wave interacting with a rigid boundary, representing the line-tying effect of the photosphere, is analytically investigated. Both propagating and standing waves are analysed and the time-dependent problem of the excitation of these waves is considered. An obliquely incident fast MHD wave on the photosphere inevitably generates a slow mode. The frequency of the generated slow mode at the photosphere is exactly the same as the frequency of the incident fast MHD mode, but its wavelength is much smaller, assuming that the sound speed is smaller than the Alfvén speed. The main signatures of the generated slow wave are density fluctuations at the loop footpoints. We have derived a simple formula that relates the velocity amplitude of the transverse standing mode with the density enhancements at the footpoints due to the driven slow modes. Using these results it is shown that there are possible evidences in the observations of the coupling between these two modes.

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