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Turbulent correlations and anomalous transport in tokamaks-I. Development of the theory

A Thyagaraja, F A Haas1989年Plasma Physics and Controlled FusionIF 2.2出版社

A parallel kinetic approach to the calculation of turbulent correlations and transport properties in Tokamaks is presented. The non-linear kinetic equations of the theory with suitable collision operators are derived from the well-known drift kinetic theory. The specification of a single fluctuation spectrum (say that of the parallel vector potential) leads to a problem of determining the quasi-neutral plasma response to the spectrum in question. The solution of the problem using a Born-Feynman perturbation series in the assumed smallness of the fluctuation amplitude is developed in detail. Subject to rather weak restrictions, the specified spectral function is shown to determine (under quasi-neutral conditions neglecting trapped particle and anisotropic pressure effects) all other fluctuation spectra and transport properties.

日本語訳

トカマクにおける乱流相関および輸送特性の計算に対する並列運動論的アプローチを提示する。適切な衝突演算子を備えた理論の非線形運動論方程式は、よく知られたドリフト運動論から導出される。単一のゆらぎスペクトル(例えば、平行ベクトルポテンシャルのそれ)の指定は、問題となっているスペクトルに対する準中性プラズマ応答を決定する問題へと導く。ゆらぎ振幅の小ささにおけるボルン・ファインマン摂動級数を用いた問題の解法を詳細に展開する。かなり緩い制約の下で、指定されたスペクトル関数が、他のすべてのゆらぎスペクトルおよび輸送特性を(粒子捕捉効果および異方性効果を無視した準中性条件下で)決定することが示される。

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Anomalous transport
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