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Transport induced by ion-impurity friction in strongly rotating, collisional tokamak plasma

C T Hsu, D J Sigmar1990年Plasma Physics and Controlled FusionIF 2.2出版社

A moment approach to the transport theory of impure Tokamak plasmas with strong rotation velocity Vphi in the Pfirsch-Schluter regime with constant temperature is presented. Using the moment approach, the general form of friction and viscosity with effects of large rotation and arbitrary impurity concentration is obtained. In particular, corrections to Braginskii's viscous tensor due to the large rotation are found. When Vphi <or approximately= upsilon thi, strong in/out and up/down poloidal variations of the impurity density in the flux surface, the first-order poloidal flows, the radial particle flux, and the radial flux of toroidal angular momentum are evaluated. Most importantly, a strong ordering parameter Delta identical to delta piZ( nu ii)2- square root 2/ omega ti is introduced and found to be essentially a measure of up/down density variation; and a large enough Delta may lead to a bifurcation of the equilibrium poloidal flows.

日本語訳

不純物を含むトカマクプラズマにおける輸送理論に対して、強い回転速度Vφを有し、一定温度のPfirsch-Schluter領域におけるモーメント法によるアプローチを提示する。モーメント法を用いることにより、強い回転と任意の不純物濃度の効果を含む摩擦および粘性の一般形式が得られる。特に、強い回転によるBraginskiiの粘性テンソルへの補正が見出される。Vφ < 約υthiの場合、磁束面内における不純物密度の強い内外および上下方向のポロイダル変動、一次のポロイダル流、径方向粒子束、および径方向トロイダル角運動量束が評価される。最も重要な点として、強い秩序パラメータΔ ≡ δπZ(νii)² − √2/ωtiが導入され、これが本質的に上下方向の密度変動の尺度であることが見出される。また、Δが十分に大きい場合、平衡ポロイダル流の分岐が生じる可能性がある。

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