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Energy principle with induced surface currents

B Lehnert1992年Plasma Physics and Controlled FusionIF 2.2出版社

An extended analysis is presented of the earlier investigated induced surface current effects which arise in a magnetized plasma when the confining field has an imposed inhomogeneous part generated by currents in external conductors. The electromagnetic induction law requires a corresponding contribution from these effects to be added to the formulation of the energy principle for plasma MHD stability. For a plasma with a free boundary, conventional theory therefore holds in a strict sense only when there is a homogeneous external magnetic field. An illustration is given by two-dimensional straight Extrap geometry with a peaked current distribution, subject to a combined translational and ballooning-like displacement. In this case there are strong restoring forces, leading to stable oscillations around the plasma equilibrium position.

日本語訳

磁化プラズマにおいて、閉じ込め磁場が外部導体の電流によって生成される不均一な成分を持つ場合に生じる、先に調査された誘起表面電流効果の拡張解析を提示する。電磁誘導の法則は、プラズマのMHD安定性に関するエネルギー原理の定式化に、これらの効果からの対応する寄与を追加することを要求する。自由境界を持つプラズマの場合、従来の理論は、外部磁場が一様である場合にのみ厳密に成立する。その例として、ピーク状の電流分布を持つ二次元の直線状Extrap幾何学配置が挙げられ、これは並進的およびバルーニング的な変位の組み合わせを受ける。この場合、強い復元力が作用し、プラズマの平衡位置の周りでの安定な振動が生じる。

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