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General equilibrium property of spherical torus configurations with large triangularity

Bingren Shi2004年Plasma Physics and Controlled FusionIF 2.2出版社

The general equilibrium properties of the spherical torus configuration can be analysed by a simple version of the solution of the Grad–Shafranov equation, i.e. the so-called Solov'ev configuration which involves only four parameters for the magnetic surfaces with both large elongation and triangularity. The safety factor q-profile and the shear -profile can be determined analytically and it is found that both of them increase rapidly near the edge region. It is also noted that the length of the magnetic field line in the favourable curvature part is much greater than that in the unfavourable curvature part near the edge region. There is a substantial magnetic well in this kind of configuration as well. The trapped particle fraction on different magnetic surfaces as a function of relevant parameters is also given.

日本語訳

球状トーラス配位の平衡特性は、Grad-Shafranov方程式の解の単純なバージョン、すなわち、大きな伸長度と三角形度を有する磁気面に対してわずか4つのパラメータのみを含む、いわゆるSolov'ev配位によって解析することができる。安全係数qプロファイルおよびシアプロファイルは解析的に決定することができ、それらの両方がエッジ領域近傍で急速に増加することが見出される。また、磁力線の長さは、エッジ領域近傍の好曲率部分において、非好曲率部分よりもはるかに大きいことが指摘される。この種の配位には、かなりの磁気井戸も存在する。関連するパラメータの関数としての異なる磁気面上の捕捉粒子割合も与えられる。

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