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arXiv 1903.08093astro-ph.SRphysics.plasm-ph
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非线性Alfven波的相位混合

Phase mixing of nonlinear Alfven waves

Alexander Prokopyszyn, Alan Hood, Ineke De Moortel

摘要:

目的:本文介绍了2.5维数值实验阿尔文波相位混合,旨在评估非线性波的行为和耗散的影响。此外,本文旨在量化这项工作中提出的模型在向冠状体积提供能量方面的有效性。方法:该模型提出并探讨通过使用几个数值实验进行了使用Lare2D代码。实验研究了具有初始均匀密度和等离子体压力的二维x型零点附近的足点驱动Alfvén波。使用具有恒定频率的连续正弦驱动器。每个实验使用不同的驱动器振幅来比较弱非线性实验与线性实验。结果:我们发现,由于每条磁力线长度的变化和场强的变化,波列相位混合。非线性减少了进入域的能量的量,因为它们降低了驱动器的有效性,但是它们对阻尼率的影响相对较小(对于所研究的幅度范围)。非线性产生密度结构,其改变场线的固有频率,并因此引起谐振位置移动。共振位置的移动导致与驱动器相关联的坡印亭通量减小。降低磁扩散率会增加共振场线上的能量积累,然而,它对进入系统的能量总量几乎没有影响。从一个数量级的估计,我们表明,在我们的实验中的坡印亭通量是可比的安静的太阳日冕的能量需求。然而,使用了大量的(可能是非物理的)磁扩散,仍然不清楚该模型是否能够在实际的日冕条件下提供足够的能量。

英文摘要:

Aims: This paper presents 2.5D numerical experiments of Alfvén wave phase mixing and aims to assess the effects of nonlinearities on wave behaviour and dissipation. In addition, this paper aims to quantify how effective the model presented in this work is at providing energy to the coronal volume. Methods: The model is presented and explored through the use of several numerical experiments which were carried out using the Lare2D code. The experiments study footpoint driven Alfvén waves in the neighbourhood of a two-dimensional x-type null point with initially uniform density and plasma pressure. A continuous sinusoidal driver with a constant frequency is used. Each experiment uses different driver amplitudes to compare weakly nonlinear experiments with linear experiments. Results: We find that the wave trains phase-mix owing to variations in the length of each field line and variations in the field strength. The nonlinearities reduce the amount of energy entering the domain, as they reduce the effectiveness of the driver, but they have relatively little effect on the damping rate (for the range of amplitudes studied). The nonlinearities produce density structures which change the natural frequencies of the field lines and hence cause the resonant locations to move. The shifting of the resonant location causes the Poynting flux associated with the driver to decrease. Reducing the magnetic diffusivity increases the energy build-up on the resonant field lines, however, it has little effect on the total amount of energy entering the system. From an order of magnitude estimate, we show that the Poynting flux in our experiments is comparable to the energy requirements of the quiet Sun corona. However a (possibly unphysically) large amount of magnetic diffusion was used however and it remains unclear if the model is able to provide enough energy under actual coronal conditions.

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