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Non-linear calculation of m = 1 reconnecting mode in a current-carrying helical system

M. Wakatani1979年Nuclear FusionIF 3出版社

Non-linear behaviour of the m = 1 reconnecting mode is demonstrated in a current-carrying helical system with ι(r) = ισ(r) + ιB(r) > 3. Here, ισ(r) and ιB(r) denote rotational transforms due to plasmacurrent and external helical fields, respectively. For dιB(r)/dr < 0, the m = 1 reconnecting mode becomes linearly unstable. The non-linear regime of the m = 1 reconnecting mode is divided into two stages. The first stage maintains a linear eigenmode, whereas the second stage shows rapid non-linear growth and its mode structure is similar to the m = 1 tearing mode. The saturation level of the kinetic energy and magnetic island formation of the m = 1 reconnecting mode are comparable to those of the m = 1 tearing mode; the reconnecting mode shows, however, slower non-linear evolution.

日本語訳

m = 1 リコネクションモードの非線形挙動が、ι(r) = ισ(r) + ιB(r) > 3 を有する電流駆動ヘリカル系において実証された。ここで、ισ(r) と ιB(r) は、それぞれプラズマ電流と外部ヘリカル磁場による回転変換を表す。dιB(r)/dr < 0 の場合、m = 1 リコネクションモードは線形的に不安定になる。m = 1 リコネクションモードの非線形領域は、2つの段階に分けられる。第1段階は線形固有モードを維持するのに対し、第2段階は急激な非線形成長を示し、そのモード構造は m = 1 テアリングモードに類似している。m = 1 リコネクションモードの運動エネルギーの飽和レベルと磁気島形成は、m = 1 テアリングモードのものに匹敵するが、リコネクションモードはより遅い非線形発展を示す。

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