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arXiv 2304.04845physics.plasm-ph
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柱形等离子体中的线性与非线性动力学阿尔芬波物理

Linear and Nonlinear Kinetic Alfvén Wave Physics in Cylindrical Plasmas

Livio De Fabrizio

AI总结:

本文研究了周期性磁化等离子体柱中弱吸收模转换KAW的激发,发现其可形成大振幅共振腔模,并通过调制不稳定性产生对流胞,引发方位对称性破缺,从而实现对CC径向结构和平行电场的控制。

摘要:

动力学阿尔芬波(KAWs)在磁化的空间和实验室等离子体中由连续的剪切阿尔芬波(SAW)谱产生,且与SAW不同,其特征是量级为热离子拉莫尔半径的微观尺度垂直结构。这对与KAWs相关的加热、加速和传输过程具有重要影响。历史上,为进行等离子体加热,研究人员曾研究过实验室等离子体中SAWs通过模转换产生KAWs的现象,以及SAW模转换后KAWs的强烈阻尼/吸收。本文聚焦于相反的极限情形:在周期性磁化等离子体柱中弱吸收的模转换KAW。我们证明,KAW可在磁轴与由天线发射器外部产生的SAW共振层之间的区域被激发为共振腔模;该过程定性上类似于模转换的电子伯恩斯坦波。通过这种方式,可在时间渐近意义上以相对较小的耦合天线功率产生大振幅KAWs。此情形对等离子体加热几乎没有相关性,但对等离子体平衡具有有趣的非线性意义。具体而言,我们证明KAWs可通过调制不稳定性产生对流胞(CCs),等离子体非均匀性的后果是由等离子体抗磁效应导致的方位对称性破缺,调制不稳定性增长率高于相应的均匀等离子体极限,不稳定参数空间得到扩展,且柱形几何结构导致非线性与非均匀性之间复杂的相互作用。结果表明,不仅可通过天线频率,还可通过微调其振幅来控制CC径向结构及相应的平行电场产生。

英文摘要:

Kinetic Alfvén Waves (KAWs) are generated in magnetized space and laboratory plasmas due to a continuous shear Alfvén wave (SAW) spectrum and, unlike SAWs, are characterized by microscale perpendicular structures of the order of the thermal ion Larmor radius. This has important consequences on heating, acceleration and transport processes connected with KAWs. Historically, KAWs generation by mode conversion of SAWs in laboratory plasmas and their strong damping/absorption right after SAW mode conversion have been investigated for plasma heating. Here, we focus on the opposite limit: a mode converted KAW weakly absorbed in a periodic magnetized plasma cylinder. We show that a KAW may be excited as resonant cavity mode in the region between the magnetic axis and the SAW resonant layer generated externally by an antenna launcher; this process is qualitatively similar to mode converted electron Bernstein waves. In this way, large amplitude KAWs may be generated time asymptotically with relatively small coupled antenna power. This case has little or no relevance for plasma heating but interesting nonlinear implications for plasma equilibrium. In particular, we demonstrate that KAWs may generate convective cells (CCs) by modulational instability, that a consequence of plasma nonuniformity is the azimuthal symmetry breaking due to plasma diamagnetic effects, that the modulational instability growth rate is enhanced over the corresponding uniform plasma limit, that the unstable parameter space is extended, and that the cylindrical geometry causes a complex interplay between nonlinearity and nonuniformity. As a result, we show that it is possible to control the CC radial structures and the corresponding parallel electric field generation not only by means of the antenna frequency but also by fine tuning of its amplitude.

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