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Stability of ideal MHD modes of a finite pressure plasma in toroidal systems with a complex shape of the magnetic axis

P.V. Demchenko, A.Ya. Omel'chenko, K.V. Sakhar1991年被引用 3Nuclear FusionIF 3出版社

The authors have obtained an equation for small oscillations describing the excitation of ideal small scale MHD modes in a finite pressure plasma with allowance for inertial effects in arbitrary magnetic configurations. This equation is used to analyse the plasma stability in an ASPERATOR NP-4 type trap. It is shown that in the currentless regime both ideal ballooning and Mercier modes may be excited in this trap. It is established that these modes are absolutely unstable because of the growth with increasing plasma pressure of the magnetic 'hill' in the device. The growth rates of the excited modes are determined. In unstable regimes, a relative improvement in confinement is observed when, with increasing pressure, a transition may occur from regimes with larger growth rates to regimes with smaller growth rates. Such a transition is connected with finite plasma pressure effects when the destabilizing action of finite pressure, leading to a growth of the 'magnetic hill' and to an absolute instability of Mercier modes, is partially compensated for by the stabilizing action connected with the growth of the shear value with increasing plasma pressure.

日本語訳

著者らは、任意の磁気配位における有限圧力プラズマ中の慣性効果を考慮した、理想的な小規模MHDモードの励起を記述する小振動方程式を導出した。この方程式を用いて、ASPERATOR NP-4型トラップにおけるプラズマ安定性を解析した。無電流状態では、理想バルーニングモードとメルシエモードの両方がこのトラップ内で励起され得ることが示された。これらのモードは、プラズマ圧力の増加に伴う磁気丘の成長により、絶対不安定性を示すことが明らかにされた。励起されたモードの成長率が決定された。不安定領域において、圧力増加に伴いせん断値が増大する安定化効果が、磁気丘の成長とメルシエモードの絶対不安定性をもたらす有限圧力の不安定化作用を部分的に補償する場合、遷移が生じ、成長率の大きい領域から小さい領域への移行に伴う閉じ込めの相対的改善が観測される。このような遷移は、プラズマ圧力の増加に伴うせん断値の成長に関連する安定化作用が、磁気丘の成長とメルシエモードの絶対不安定性を引き起こす有限圧力の不安定化効果を部分的に補償する際に生じる有限プラズマ圧力効果と関連している。

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MagnetohydrodynamicsIdeal MHDMHD modes
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