arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.04389astro-ph.SR
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日冕中扭结MHD波的相位混合:粘性耗散和加热

Phase Mixing of Kink MHD Waves in the Solar Corona: Viscous Dissipation and Heating

Zanyar Ebrahimi, Roberto Soler, Kayoomars Karami

摘要:

磁流体动力学(MHD)扭折波在日冕通量管中被频繁观测到,这使其成为日冕地震学的重要工具。在这里,粘性的效果上的扭结波的演变进行了研究。为此,我们在长波长极限下求解了径向非均匀通量管中不可压缩线性化粘性MHD方程的初值问题。使用模态展开技术的时空行为的扰动得到。我们确认,对于大雷诺数代表的日冕等离子体的扭结振荡的振幅的递减是由于共振吸收机制,将全球横向振荡的旋转运动中的不均匀层的通量管。我们发现,粘度抑制相混合率的扰动在不均匀区域的通量管,并防止在系统中的小尺度的连续建立,一旦达到足够小的规模。通过计算粘性耗散函数,研究了通量管非均匀层中粘性对等离子体的加热。当雷诺数为10^6-10^8时,扭结波的能量在扭结振荡的2 ~ 8个周期内转化为热量。对于更大和更现实的雷诺数,加热发生后,主要是全球扭结振荡阻尼,并没有显着的加热发生在可观察到的横向运动的通量管。

英文摘要:

Magnetohydrodynamic (MHD) kink waves have been observed frequently in solar coronal flux tubes, which makes them a great tool for seismology of the solar corona. Here, the effect of viscosity is studied on the evolution of kink waves. To this aim, we solve the initial value problem for the incompressible linearized viscous MHD equations in a radially inhomogeneous flux tube in the limit of long wavelengths. Using a modal expansion technique the spatio-temporal behavior of the perturbations is obtained. We confirm that for large Reynolds numbers representative of the coronal plasma the decrement in the amplitude of the kink oscillations is due to the resonant absorption mechanism that converts the global transverse oscillation to rotational motions in the inhomogeneous layer of the flux tube. We show that viscosity suppresses the rate of phase mixing of the perturbations in the inhomogeneous region of the flux tube and prevents the continuous building up of small scales in the system once a sufficiently small scale is reached. The viscous dissipation function is calculated to investigate plasma heating by viscosity in the inhomogeneous layer of the flux tube. For Reynolds numbers of the order of 10^6-10^8, the energy of the kink wave is transformed into heat in two to eight periods of the kink oscillation. For larger and more realistic Reynolds numbers, heating happens, predominantly, after the global kink oscillation is damped, and no significant heating occurs during the observable transverse motion of the flux tube.

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