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Effect of a large-gradient radial electric field on plasma current in a spherical torus

Yuri Petrov, Tian-Sen Huang2003年Nuclear FusionIF 3出版社

A description of the guiding field line (GFL) model is presented for spherical torus geometry. The model is extended to cover small banana orbits that are trapped either above or below the midplane. Comparison of the model with the fluid and neoclassical theories demonstrates correctness of the model, though it shows that the model is not exactly equivalent to them. The GFL model provides a more general description for the orbit-squeezing effect resulting from the large gradient of the radial electric field. It shows that not only does the deformation of banana orbits, but also the change of the passing particles' orbits, affect the current in plasma. Besides, it appears that the change of the orbits' shape, as projected on the magnetic surface, contributes to modification of the current along with the radial squeezing/expanding. Distortion of the current by the gradient of the electric field is found to be predominantly in the direction parallel to the magnetic field, while almost no effect is seen for the perpendicular component.

日本語訳

球状トーラス幾何学におけるガイド磁力線(GFL)モデルの記述を示す。本モデルは、赤道面の上または下に捕捉された小さなバナナ軌道をカバーするように拡張される。流体理論および新古典理論とのモデルの比較は、モデルの正当性を示すが、モデルがそれらと正確に等価ではないことも示している。GFLモデルは、動径電場の大きな勾配に起因する軌道圧搾効果に対する、より一般的な記述を提供する。バナナ軌道の変形だけでなく、通過粒子の軌道の変化もプラズマ中の電流に影響を与えることが示される。さらに、磁気面上に投影された軌道形状の変化が、動径方向の圧搾・膨張とともに電流の修正に寄与することが明らかになった。電場の勾配による電流の歪みは、主に磁場に平行な方向に生じることが判明したが、垂直成分についてはほとんど影響が見られない。

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Radial electric fieldSpherical torus
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