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Unstable ion-temperature-gradient modes in an advanced tokamak plasma

M Ansar Mahmood, T Rafiq, M Persson2006年Plasma Physics and Controlled FusionIF 2.2出版社

The linear stability of the ion-temperature-gradient (ITG) driven drift modes is investigated in an International Thermonuclear Experimental Reactor-like geometry using an advanced reactive fluid model and the ballooning mode formalism. The spectrum of stable and unstable modes and their real frequencies, growth rates and eigenfunctions are calculated for two specific magnetic flux surfaces. The effects of density and temperature gradients, temperature ratios, wave vector and geometrical quantities such as local magnetic shear (LMS), normal curvature, geodesic curvature and magnetic field on the ITG mode are discussed. It is found that the most unstable eigenfunction is extended and less unstable at the magnetic surface where global magnetic shear is reversed. Moreover, the role of positive LMS is found to be destabilizing at the reverse shear magnetic surface. However, at a positive global shear magnetic surface, the eigenmode is found to be more localized and more unstable, and its structure and stability are affected by the local behaviour of the geometrical quantities.

日本語訳

イオン温度勾配(ITG)駆動ドリフトモードの線形安定性が、国際熱核融合実験炉(ITER)類似の幾何学形状において、先進的反応性流体モデルとバルーニングモード形式を用いて調べられている。安定および不安定モードのスペクトルと、それらの実周波数、成長率、固有関数が、2つの特定の磁気面に対して計算されている。密度および温度勾配、温度比、波数ベクトル、ならびに局所磁気シア(LMS)、法線曲率、測地線曲率、磁場などの幾何学的量がITGモードに及ぼす影響が議論されている。最も不安定な固有関数は、大局的磁気シアが反転する磁気面において拡張され、より不安定性が小さいことが見出されている。さらに、正のLMSの役割は、反転シア磁気面において不安定化をもたらすことが見出されている。しかしながら、正の大局的磁気シアを有する磁気面では、固有モードはより局在化し、より不安定であり、その構造と安定性は幾何学的量の局所的挙動によって影響を受ける。

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Advanced tokamak
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