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Bootstrap current and neoclassical transport in quasi-isodynamic stellarators

P Helander, J Nührenberg2009年Plasma Physics and Controlled FusionIF 2.2出版社

It is shown that the problem of neoclassical transport at low collisionality in a perfectly quasi-isodynamic (or omnigeneous) stellarator can be reduced to the corresponding problem in a tokamak. In fact, the distribution function consists of two parts: one that can be calculated exactly (for any collision operator) and does not carry any net parallel current and one that is proportional to the total toroidal current and is determined by an equation that is identical to that solved in tokamak theory. Results from the latter can therefore be carried over to the corresponding stellarator situation. Specifically, if the total toroidal current enclosed by a flux surface vanishes, then the net bootstrap current on that surface also vanishes. It is therefore consistent to optimize a stellarator in such a way that the bootstrap current and neoclassical transport are simultaneously minimized.

日本語訳

完全に準等方(またはオムニジェナス)ステラレーターにおける低衝突頻度の新古典輸送の問題が、トカマクにおける対応する問題に帰着できることが示される。実際、分布関数は2つの部分から構成される:任意の衝突演算子に対して正確に計算でき、正味の平行電流を運ばない部分と、総トロイダル電流に比例し、トカマク理論で解かれる方程式と同一の方程式によって決定される部分である。したがって、後者の結果は対応するステラレーターの状況に適用できる。具体的には、磁気面が囲む総トロイダル電流がゼロであれば、その磁気面上の正味のブートストラップ電流もゼロとなる。したがって、ブートストラップ電流と新古典輸送が同時に最小化されるようにステラレーターを最適化することは整合的である。

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StellaratorBootstrap currentNeoclassical transport
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