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Wall stabilization of high-beta anisotropic plasmas in an axisymmetric mirror trap

Igor Kotelnikov, Vadim Prikhodko, Dmitri Yakovlev2023年Nuclear FusionIF 3出版社

The stabilization of the 'rigid' flute and ballooning modes both with and without the effect of additional MHD anchors in an axisymmetric mirror trap, with the help of a perfectly conducting lateral wall, is studied using a model pressure distribution of a plasma with a steep-angle neutral beam injection at the magnetic field minimum. The calculations were performed for an anisotropic plasma in a model that simulates the pressure distribution during the injection of beams of fast neutral atoms into the magnetic field minimum. It is assumed that the lateral wall is an axisymmetric shell surrounding the plasma that follows the shape of the magnetic field line and is placed at a certain distance to the plasma border. It has been found that for the effective stabilization of the modes by the lateral wall only the parameter beta (β, ratio of plasma pressure to the magnetic field pressure) must exceed some critical value βcrit. When combined with the conducting end plates imitating the MHD end stabilizers, there are two critical beta values and two stability zones and that can merge, making the entire range of allowable beta values stable. The dependence of the critical betas on the degree of plasma anisotropy, the mirror ratio, and the width of the vacuum gap between the plasma and the lateral wall is studied. In contrast to the previous studies focusing on a plasma model with a sharp boundary, we calculated the stability zones for a number of diffuse radial pressure profiles and several axial magnetic field profiles.

日本語訳

軸対称ミラートラップにおいて、完全導体の側壁の助けを借りた、追加のMHDアンカーの効果がある場合とない場合の両方での「剛体的」フルートモードおよびバルーニングモードの安定化を、磁場最小部への急角度中性粒子ビーム入射を伴うプラズマのモデル圧力分布を用いて研究した。計算は、磁場最小部への高速中性原子ビームの入射中の圧力分布を模擬するモデルにおいて、異方性プラズマに対して行われた。側壁は、プラズマを囲む軸対称シェルであり、磁力線の形状に沿い、プラズマ境界からある距離に配置されると仮定される。側壁のみによるモードの効果的な安定化のためには、パラメータβ(プラズマ圧力の磁場圧力に対する比)が何らかの臨界値β_critを超えなければならないことが見いだされた。これをMHD端部スタビライザーを模した導体端板と組み合わせると、二つの臨界ベータ値と二つの安定領域 と が存在し、それらは融合して、許容されるベータ値の全範囲 を安定にすることができる。臨界ベータの、プラズマ異方性の程度、ミラー比、およびプラズマと側壁の間の真空ギャップの幅への依存性が調べられた。鋭い境界を持つプラズマモデルに焦点を当てた従来の研究とは対照的に、我々は多数の拡散した動径圧力プロファイルと幾つかの軸方向磁場プロファイルについて安定領域を計算した。

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