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Neoclassical resistive instabilities in general toroidal plasmas

Tonghui Shi, Youwen Sun, Baonian Wan2026年6月Plasma Physics and Controlled FusionIF 2.2出版社

In this study, linear neoclassical resistive instabilities are systematically examined in general toroidal plasmas employing the ballooning representation. The neoclassical modified layer equation is derived through the application of a multi-scale expansion methodology. Moreover, it is demonstrated that the derived layer equation admits an exact analytical solution. It is evident that, based on the inner layer solution and via the procedure of matching with the ideal region, the general dispersion relations modified by neoclassical bootstrap currents can be rigorously derived. These relations can subsequently be utilized to investigate resistive ballooning modes, resistive interchange modes, and neoclassical tearing modes. The analysis reveals that neoclassical bootstrap currents enhance the growth rates and exert a destabilizing influence on resistive ballooning and tearing modes. Furthermore, the resistive interchange mode exhibits complex behavior, wherein the bootstrap current-related factor possesses a critical value , with the unstable region defined as: . Additionally, these dispersion relations are analyzed in the context of a large aspect-ratio tokamak with a circular cross-section. It is established that the neoclassical effect exerts a substantial quantitative and qualitative influence on resistive instabilities. This investigation has yielded a more comprehensive and nuanced understanding of the impact of the neoclassical effect on resistive modes.

AIによる論文要約

一般トロイダルプラズマにおける新古典抵抗性不安定性
JA核融合プラズマの閉じ込めや安定性に興味がある研究者や大学院生。特にトカマクやヘリカル装置における新古典効果の理解を深めたい方に有用。#プラズマ物理 #核融合 #新古典効果 #抵抗性不安定性 #トカマク
LLM向け: {"Title": "Neoclassical resistive instabilities in general toroidal plasmas", "A…

本論文では、一般トロイダルプラズマにおける線形新古典抵抗性不安定性を、バルーニング表現を用いて系統的に調べています。多重スケール展開により新古典修正層方程式を導出し、その厳密解析解を示しました。内部層解と理想領域との整合により、新古典ブートストラップ電流で修正された一般分散関係を導出し、抵抗性バルーニングモード、抵抗性インターチェンジモード、新古典テアリングモードに適用。その結果、新古典ブートストラップ電流は抵抗性バルーニングモードとテアリングモードの成長率を増大させ、不安定化に寄与することがわかりました。また、抵抗性インターチェンジモードは複雑な振る舞いを示し、ブートストラップ電流関連因子に臨界値が存在します。さらに、大アスペクト比円形断面トカマクでの解析から、新古典効果が抵抗性不安定性に定量的・定性的に大きな影響を与えることが確認されました。

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