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arXiv 1303.6301astro-ph.SR
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磁声香肠模式的特性

Characteristics of magnetoacoustic sausage modes

A. R. Inglis, T. Van Doorsselaere, C. S. Brady, V. M. Nakariakov

摘要:

目的:我们进行了一个先进的研究的快速磁声香肠振荡的冕环的背景下,MHD冠状地震学建立的依赖关系的香肠模式周期和截止波数的等离子体β的环填充等离子体。还进行了模式的不同谐波的比率的参数研究。方法:使用Lare 2d进行全磁流体动力学数值模拟,模拟在磁板环境中的热,密集的环路。对称的Epstein轮廓和一个简单的阶梯函数轮廓都被用来模拟模拟环的密度结构。分析了截止波数和二次纵谐波与基波的谐波比的表达式。结果如下:它被建立的全球香肠模式的周期是非常弱的依赖于日冕循环内的等离子体β的值,这证明了该模型的应用程序的热燃烧循环。截止波数KC的全球模式被发现是依赖于内部和外部的等离子体β值,再次只有微弱的。到目前为止,在这种情况下,最重要的因素是环与周围环境之间的密度对比度的值。最后,谐波比P1/2 P2从理想的非色散情况下的偏差被证明是相当大的低k,再次强烈依赖于等离子体密度。定量截止波数和谐波比的行为在日冕地震学领域有重要的应用。

英文摘要:

Aims: We perform an advanced study of the fast magnetoacoustic sausage oscillations of coronal loops in the context of MHD coronal seismology to establish the dependence of the sausage mode period and cut-off wavenumber on the plasma-beta of the loop-filling plasma. A parametric study of the ratios for different harmonics of the mode is also carried out. Methods: Full magnetohydrodynamic numerical simulations were performed using Lare2d, simulating hot, dense loops in a magnetic slab environment. The symmetric Epstein profile and a simple step-function profile were both used to model the density structure of the simulated loops. Analytical expressions for the cut-off wavenumber and the harmonic ratio between the second longitudinal harmonic and the fundamental were also examined. Results: It was established that the period of the global sausage mode is only very weakly dependent on the value of the plasma-beta inside a coronal loop, which justifies the application of this model to hot flaring loops. The cut-off wavenumber kc for the global mode was found to be dependent on both internal and external values of the plasma-beta, again only weakly. By far the most important factor in this case was the value of the density contrast ratio between the loop and the surroundings. Finally, the deviation of the harmonic ratio P1/2P2 from the ideal non-dispersive case was shown to be considerable at low k, again strongly dependent on plasma density. Quantifying the behaviour of the cut-off wavenumber and the harmonic ratio has significant applications to the field of coronal seismology.

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