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Non-ideal Kelvin-Helmholtz instabilities of a plasma edge with parallel mass flow

A Rogister, G Hasselberg, D Li, S M Khalil1992年Plasma Physics and Controlled FusionIF 2.2出版社

It is shown that parallel ion viscosity and thermal conduction can drive instabilities in a plasma with a sheared parallel flow delta (U.B0)/ delta r; the thresholds are generally well below that of the ideal Kelvin-Helmholtz instability; the relationship between mode number and frequency is compatible with that of the Toi mode (Toi et al., 1989, Phys. Rev. Lett, 62, 430). A quasi-linear calculation shows that the variation of the total, i.e. laminar and turbulent, parallel momentum and energy inside a thin annular volume, localized in the vicinity of the plasma edge, are matched by the differences of anomalous momentum and energy fluxes carried by turbulence autocorrelations through the boundaries: this corresponds to total momentum and energy conservation. If the rotation velocity is close to threshold, two instabilities are found to be self-stabilizing when the theory is particularized to self-similar solutions; they indeed slow down the rotation. As for the other two, the turbulence at first destabilizes the plasma further while spinning up the rotation.

日本語訳

平行イオン粘性と熱伝導が、せん断平行流デルタ(U.B0)/デルタを有するプラズマにおいて不安定性を駆動し得ることが示されている;その閾値は一般に理想ケルビン・ヘルムホルツ不安定性の閾値よりもかなり低い;モード数と周波数の関係は、トイ・モード(Toi et al., 1989, Phys. Rev. Lett, 62, 430)のそれと整合的である。準線形計算により、プラズマ端付近の局在する薄い環状領域内における全(すなわち層流および乱流)平行運動量とエネルギーの変化は、境界を通じて乱流自己相関によって運ばれる異常運動量フラックスとエネルギーラックスの差によって釣り合うことが示される:これは全運動量およびエネルギー保存に対応する。回転速度が閾値に近い場合、理論を自己相似解に特殊化すると、二つの不安定性は自己安定化することが見出される;それらは実際に回転を減速させる。他の二つに関しては、乱流はまずプラズマをさらに不安定化させ、同時に回転をスピンアップさせる。

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Kelvin-Helmholtz instability
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