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Theory for island induced neoclassical toroidal plasma viscosity in tokamaks

K.C. Shaing, T.H. Tsai, M.S. Chu, S.A. Sabbagh2011年被引用 10Nuclear FusionIF 3出版社

Error fields and resistive magnetohydrodynamic modes are ubiquitous in real tokamaks. They break the toroidal symmetry in |B| in tokamaks. Here, B is the magnetic field. There are two mechanisms that break the symmetry on the perturbed magnetic surface: one is the perturbed field itself and the other results from the distortion of the magnetic surface due to the perturbed field. The broken toroidal symmetry leads to enhanced neoclassical toroidal plasma viscosity and consequently the rate of the toroidal flow damping. The neoclassical toroidal plasma viscosity also results in a steady-state toroidal plasma flow. In addition, the neoclassical toroidal plasma viscosity in the vicinity of the magnetic islands provides a mechanism to determine the island rotation frequency, which is an important quantity for the island stability. Here, the theory for neoclassical toroidal plasma viscosity in the vicinity of the magnetic island is extended to include the effects of the collisional boundary layer that lead to scaling in the transport fluxes, where ν is the collision frequency.

日本語訳

誤差場と抵抗性磁気流体モードは、実在のトカマクにおいて普遍的に存在する。それらはトカマクにおける|B|のトロイダル対称性を破る。ここで、Bは磁場である。摂動を受けた磁気面上で対称性を破る機構は2つある。1つは摂動場自体であり、もう1つは摂動場による磁気面の変形に起因するものである。破れたトロイダル対称性は、新古典トロイダルプラズマ粘性を増大させ、結果としてトロイダル流の減衰率を増大させる。新古典トロイダルプラズマ粘性はまた、定常状態のトロイダルプラズマ流をもたらす。さらに、磁気島近傍の新古典トロイダルプラズマ粘性は、島の安定性にとって重要な量である島の回転周波数を決定する機構を提供する。ここでは、磁気島近傍における新古典トロイダルプラズマ粘性の理論を拡張し、衝突境界層の効果を含める。この効果は、輸送フラックスにおけるνスケーリングをもたらす。ここで、νは衝突周波数である。

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