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Non-resonant resistive instabilities localized near the magnetic axis in heliotrons and torsatrons

K. Ichiguchi, Y. Nakamura, M. Wakatani1991年被引用 9Nuclear FusionIF 3出版社

A new type of non-resonant or near-resonant resistive pressure driven mode localized near the magnetic axis is found in heliotron and torsatron configurations. This mode has a ballooning-like structure and becomes unstable in highly resistive plasmas (magnetic Reynolds number S ≲ 105) when the pressure profile is sufficiently peaked in the almost shear free region around the magnetic axis. As S increases, the radial mode structure becomes narrower and the peak position approaches the magnetic axis. The numerically obtained growth rates are proportional to S−0.33. When S ≳ 105, a transition occurs to an unstable resistive interchange mode localized at a resonant surface. A non-resonant resistive mode with properties similar to those of the above mentioned mode is also observed in straight cylindrical configurations. The dispersion relation for these configurations is derived analytically in the electrostatic approximation, which gives the growth rate proportional to S−1/3. The non-resonant resistive mode may suppress highly peaked pressure profiles when the resistive interchange mode is marginal.

日本語訳

ヘリオトロンおよびトーサトロン配位において、磁気軸近傍に局在する新しいタイプの非共鳴または近共鳴の抵抗性駆動モードが見出された。このモードはバルーニング様の構造を有し、磁気レイノルズ数S ≲ 10⁵の高抵抗性プラズマにおいて、圧力分布が磁気軸周辺のほぼ無シア領域で十分に尖った形状を持つ場合に不安定化する。Sが増加するにつれて、動径方向のモード構造はより狭くなり、ピーク位置は磁気軸に近づく。数値的に得られた成長率はS⁻⁰·³³に比例する。S ≳ 10⁵では、有理面に局在する不安定な抵抗性交換モードへの遷移が生じる。上記のモードと類似した特性を持つ非共鳴抵抗性モードは、直線円筒配位でも観測される。これらの配位における分散関係は、静電近似の下で解析的に導出され、成長率がS⁻¹ᐟ³に比例することが示される。非共鳴抵抗性モードは、抵抗性交換モードが臨界状態にある場合に、尖った圧力分布を抑制する可能性がある。

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