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The transition layer of the radical electric field in stellarators

E Yahagi, K Itoh, M Wakatani1988年Plasma Physics and Controlled FusionIF 2.2出版社

The radial electric field is determined by the ambipolar condition in helical systems according to the neoclassical theory of the cross field transport. In general, the ambipolar condition has three roots. It is known that one of them is unstable and the others are stable. The transition from one stable root to the other can occur across a particular magnetic surface. The model of the ambipolar equation is assumed to be a cubic of the radial electric field. The weak inhomogeneity of the plasma is taken into account. It is found that the radial electric field equation has a stationary and step-like solution. The characteristic scale length of the solution is estimated. The linear stability of the solution is also studied. The condition for the transition is obtained by solving the ambipolar equation numerically when the realistic expressions of fluxes are employed.

日本語訳

径方向電場は、新古典理論による磁場横断輸送の枠組みにおいて、ヘリカル系のアンビポーラ条件によって決定される。一般に、アンビポーラ条件は三つの根を持つ。そのうち一つは不安定であり、残りの二つは安定であることが知られている。一方の安定根から他方の安定根への遷移は、特定の磁気面を横切って生じ得る。アンビポーラ方程式のモデルは、径方向電場に関する三次方程式であると仮定される。プラズマの弱い非一様性が考慮される。径方向電場方程式が定常かつ階段状の解を持つことが見出される。その解の特性長が評価される。さらに、その解の線形安定性が調べられる。フラックスの現実的な表現を用いた場合、アンビポーラ方程式を数値的に解くことにより、遷移の条件が得られる。

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