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Perturbation of the magnetic configuration of a stellarator by a longitudinal current in the plasma

V.F. Aleksin, V.P. Sebko, E.N. Sizaya, V.I. Tyupa1973年Nuclear FusionIF 3出版社

The authors consider the structure of the magnetic surfaces of a rectilinear stellarator containing a plasma through which a straight longitudinal current flows. The three cases of uniform, bell-shaped and parabolic current density distribution of a longitudinal current (cases of practical importance) are investigated.In the case of a uniform current distribution it is shown that if the rotational transform due to the current adds to that due to the vacuum field, the size of the separatrix decreases and at some critical value of the current, the separatrix shrinks to a point (resonance case).In the case of bell-shaped (or parabolic) radial current-density distribution, the magnetic surfaces of the stellarator can acquire a rosette structure. When the longitudinal current attains certain values, the separatrix is uncovered, i. e. the magnetic configuration is broken up. The conditions for the appearance of rosettes of a definite type and those for the break-up of magnetic surfaces are derived analytically.

日本語訳

著者らは、直線状の縦電流が流れるプラズマを含む直線ステラレーターの磁気面の構造を考察する。縦電流の電流密度分布が一様、釣鐘型、放物型の3つの場合(実際上重要な場合)について調べる。電流分布が一様な場合、電流による回転変換が真空磁場による回転変換に加わるならば、セパラトリクスの大きさは減少し、電流のある臨界値においてセパラトリクスは一点に縮む(共鳴の場合)ことが示される。釣鐘型(または放物型)の動径方向電流密度分布の場合、ステラレーターの磁気面はロゼット構造をとり得る。縦電流がある値を達すると、セパラトリクスは露出する、すなわち磁気配置は破壊される。特定のタイプのロゼットの出現条件と磁気面の破壊条件が解析的に導出される。

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