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Nonlinear behaviour of Kelvin-Helmholtz instability in a heliotron plasma and poloidal velocity shear

Y Ishii, K Watanabe, M Wakatani1994年Plasma Physics and Controlled FusionIF 2.2出版社

For low-beta plasma in heliotron devices, electromagnetic Kelvin-Helmholtz instability can be excited by poloidal velocity shear due to radial electric field. According to nonlinear calculation of single helicity instability at iota =1 resonant surface in a straight Heliotron E model, growth phase is governed by (m, n)=(3, 3) and (4, 4) modes and saturation is obtained by the quasi-linear effect on the poloidal shear flow, where iota is a rotational transform and m(n) is a poloidal(toroidal) mode number. The linearly unstable mode with (m, n)=(1, 1) is strongly energized by the mode coupling between (m, n)=(3, 3) and (m, n)=(4, 4). In the saturation state magnetic flux fluctuation psi is nearly equal to the electrostatic potential fluctuation phi , which is different from the usual interchange modes with phase difference of pi /2 between psi and phi . Magnetic island structure is also seen in resistive plasmas, although linear growth rate is not affected by the resistivity.

日本語訳

ヘリオトロン装置における低ベータプラズマでは、径方向電場によるポロイダル速度シアによって電磁ケルビン・ヘルムホルツ不安定性が励起され得る。直線ヘリオトロンEモデルにおけるイオタ=1共鳴面での単一ヘリシティ不安定性の非線形計算によると、成長期は(m, n)=(3, 3)および(4, 4)モードによって支配され、飽和はポロイダルシア流に対する準線形効果によって達成される。ここで、イオタは回転変換であり、m(n)はポロイダル(トロイダル)モード数である。線形成長を示す(m, n)=(1, 1)モードは、(m, n)=(3, 3)と(4, 4)モード間のモード結合によって強く励起される。飽和状態では、磁束揺動ψは静電ポテンシャル揺動φにほぼ等しくなり、これはψとφの間にπ/2の位相差を持つ通常の交換型モードとは異なる。また、抵抗性プラズマにおいても磁気島構造が見られるが、線形成長率は抵抗率の影響を受けない。

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HeliotronVelocity shearKelvin-Helmholtz instability
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