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Moment equations treatment of the reconnecting mode

B. Basu, B. Coppi1977年被引用 16Nuclear FusionIF 3出版社

A mode with azimuthal wave number m = 1 can be excited in a resistive plasma column as a result of reconnection of the magnetic field lines under conditions for which the ordinarily known internal kink mode given by the ideal MHD theory would be stable. In the absence of resistivity, magnetic reconnection would not be allowed and the relevant mode would be singular at a specified radius within the plasma column as in the case of the resistive tearing modes that are found for m ≥ 2. The analysis presented here is based on a set of moment equations that are appropriate for relatively high-temperature and low collisionality regimes. In these regimes, the mode growth rate tends to weaken considerably as the temperature increases and the mode acquires a frequency of oscillation with phase velocity close to the electron diamagnetic velocity, as a result of the effects of finite ion gyroradius and finite drift wave frequency, even in the absence of an equilibrium radial electric field.

日本語訳

方位角波数 m = 1 を持つモードは、理想MHD理論によって与えられる通常知られた内部キンクモードが安定となる条件下で、磁力線の再結合の結果として抵抗性プラズマ柱内に励起され得る。抵抗率が存在しない場合、磁気再結合は許されず、関連するモードは、m ≥ 2 に対して見られる抵抗性テアリングモードの場合と同様に、プラズマ柱内の特定の半径において特異的となるであろう。ここで提示される解析は、比較的高温かつ低衝突性の領域に適した一連のモーメント方程式に基づいている。これらの領域では、モード成長率は温度の上昇とともにかなり弱まる傾向があり、モードは、平衡動径電場が存在しない場合でも、有限イオンジャイロ半径および有限ドリフト波周波数の効果の結果として、位相速度が電子反磁性速度に近い振動周波数を獲得する。

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