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arXiv 1209.6536astro-ph.SR
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光球扭曲通量管中扭折波的Kelvin-Helmholtz不稳定性

Kelvin-Helmholtz instability of kink waves in photospheric twisted flux tubes

I. Zhelyazkov, T. V. Zaqarashvili

摘要:

我们调查的条件下,扭结磁流体动力学波沿光球均匀扭曲的轴向质量流通量管传播成为不稳定的结果的开尔文-亥姆霍兹不稳定性。我们采用的色散关系的扭结波推导出的线性磁流体动力学方程。我们假设真实的波数和复角波频率,即复波相速度。在固定的输入参数和几个质量流速度的色散关系进行了数值求解。我们表明,波的稳定性取决于四个参数,磁通量管和它的环境之间的密度对比度,在两种介质中的背景磁场的比例,管内的磁场线的扭曲,和阿尔芬-马赫数的值(磁通量管内的喷射速度与阿尔芬速度的比例)。在一定的密度和磁场扭转下,如果Alfven-马赫数超过一个临界值,就会出现Kelvin-Helmholtz型扭折(m = 1)模的不稳定性。当磁场扭曲度在0.36- 0.4范围内且流速超过某一临界值时,在低于无扭曲的临界Alfven-马赫数时,观测到的质量流可能触发弱扭曲光球磁通量管中扭折(m = 1)模的Kelvin-Helmholtz不稳定性。弱的外部磁场(与管内磁场的比值在0.1- 0.5的范围内)稍微增加该临界值。

英文摘要:

We investigate conditions under which kink magnetohydrodynamic waves propagating along photospheric uniformly twisted flux tubes with axial mass flows become unstable as a consequence of the Kelvin-Helmholtz instability. We employed the dispersion relations of kink waves derived from the linearised magnetohydrodynamic equations. We assumed real wave numbers and complex angular wave frequencies, namely complex wave phase velocities. The dispersion relations were solved numerically at fixed input parameters and several mass flow velocities. We show that the stability of the waves depends upon four parameters, the density contrast between the flux tube and its environment, the ratio of the background magnetic fields in the two media, the twist of the magnetic field lines inside the tube, and the value of the Alfven-Mach number (the ratio of the jet velocity to Alfvén speed inside the flux tube). At certain densities and magnetic field twists, an instability of the Kelvin-Helmholtz type of kink (m = 1) mode can arise if the Alfven-Mach number exceeds a critical value. The observed mass flows may trigger the Kelvin-Helmholtz instability of the kink (m = 1) mode in weakly twisted photospheric magnetic flux tubes at critical Alfven-Mach numbers lower that those in untwisted tubes if the magnetic field twist lies in the range 0.36--0.4 and the flow speed exceeds a critical value. A weak external magnetic field (with a ratio to the magnetic field inside the tube in the range 0.1--0.5) slightly increases that critical value.

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