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arXiv 1801.07352astro-ph.SRphysics.plasm-phphysics.space-ph
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亚Alfvenic流中霍尔效应能触发Kelvin-Helmholtz不稳定性吗?

Can Hall effect trigger Kelvin-Helmholtz instability in sub-Alfvenic flows?

B P Pandey

摘要:

在霍尔磁流体力学中,Kelvin Helmholtz不稳定性的起始条件仅由霍尔效应决定,与剪切流的性质无关。此外,超阿尔文流和亚阿尔文流不稳定的物理机制也是不同的:在超阿尔文流中,高频右旋圆极化哨声不稳定,而在亚阿尔文流中,低频左旋圆极化离子回旋波不稳定。在超Alfvenic情况下,KelvinHelmholtz不稳定性的增长率高于相应的理想磁流体动力学速率。在亚阿尔文的情况下,霍尔效应开辟了一个新的,迄今为止(磁流体力学)无法进入的通道,通过该通道,部分或完全电离的流体可以变得开尔文-亥姆霍兹不稳定。在这种情况下的不稳定性增长率是小于超Alfvenic的情况下,由于较小的自由剪切能含量的流动。当霍尔项略小于感应方程中的平流项时,霍尔效应也导致了一个新的过稳模的出现,其增长率小于纯增长的Kelvin Helmholtz模。另一方面,当霍尔扩散主导平流项时,不稳定性的增长率仅取决于阿尔芬马赫数,而与霍尔扩散系数无关。此外,在这种情况下的增长率与阿尔芬频率线性增加,具有较小的斜率亚阿尔芬流。

英文摘要:

In the Hall magnetohydrodynamics, the onset condition of the Kelvin Helmholtz instability is solely determined by the Hall effect and is independent of the nature of shear flows. In addition, the physical mechanism behind the super and sub Alfvenic flows becoming unstable is quite different: the high frequency right circularly polarized whistler becomes unstable in the super Alfvenic flows whereas low frequency, left circularly polarized ion-cyclotron wave becomes unstable in the presence of sub Alfvenic shear flows. The growth rate of the Kelvin Helmholtz instability in the super Alfvenic case is higher than the corresponding ideal magnetohydrodynamic rate. In the sub Alfvenic case, the Hall effect opens up a new, hitherto inaccessible (to the magnetohydrodynamics) channel through which the partially or fully ionized fluid can become Kelvin-Helmholtz unstable. The instability growth rate in this case is smaller than the super Alfvenic case owing to the smaller free shear energy content of the flow. When the Hall term is somewhat smaller than the advection term in the induction equation, the Hall effect is also responsible for the appearance of a new overstable mode whose growth rate is smaller than the purely growing Kelvin Helmholtz mode. On the other hand, when the Hall diffusion dominates the advection term, the growth rate of the instability depends only on the Alfven Mach number and is independent of the Hall diffusion coefficient. Further, the growth rate in this case linearly increase with the Alfven frequency with smaller slope for sub Alfvenic flows.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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