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Parallel cascade of Alfven waves

机译：阿尔文波的平行级联

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A heuristic semi-classical kinetic theory of turbulence in magnetized plasmas was formulated in the 1960s, but the statistical mechanical formulation of the same problem, which is necessary for a quantitative analysis, has not been accomplished. Recently, the present authors formulated the statistical mechanical kinetic turbulence theory in a formal manner (P H Yoon 2007 Phys. Plasmas 14 10230, P H Yoon and T-M Fang 2007 Phys. Plasmas 14 102303). In this paper, the parallel cascade of Alfven waves via the three-wave decay process is numerically investigated on the basis of the results outlined in the above references. It is shown that the cascade of low-frequency Alfven waves to high-frequency ion-cyclotron and magnetosonic waves takes place mediated by ion-sound turbulence. The Alfven wave cascade is important, for instance, in the solar wind acceleration and coronal heating problem, since the low-frequency, long-wavelength Alfven waves must first undergo cascade to high-frequency, short-wavelength modes in order for cyclotron resonant absorption to take place. The cyclotron resonance is believed to be important for charged-particle acceleration in the aforementioned applications. The present analysis may be important in such a context.
机译：在1960年代提出了一种启发式半经典动力学理论，用于磁化等离子体中的湍流，但是尚未完成定量分析所必需的相同问题的统计机械公式。最近，本作者以正式的方式制定了统计机械动力学湍流理论（P Yoon 2007 Phys.Plasmas 14 10230，P H Yoon和T-M Fang 2007 Phys.Plasmas 14 102303）。本文基于上述参考文献中概述的结果，对通过三波衰减过程的阿尔文波的平行级联进行了数值研究。结果表明，低频阿尔夫文波向高频离子回旋加速器和磁声波的级联是由离子声湍流介导的。 Alfven波级联在例如太阳风加速和日冕加热问题中很重要，因为低频，长波长的Alfven波必须首先经历级联到高频，短波长模式，以便回旋加速器共振吸收发生。相信回旋加速器共振对于上述应用中的带电粒子加速很重要。在这种情况下，本分析可能很重要。

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