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Stability theory of plasma current multipole

J.D. Jukes1970年被引用 17Nuclear FusionIF 3出版社

The plasma current multipole has a deep average well and strong shear due to a characteristic separatrix and stagnation point produced by moderately strong plasma currents and special shaping of the flux surfaces by a conducting wall to include, for example, quadrupole terms. The stability of a toroidal device with a large aspect ratio κ−1 and relatively strong toroidal field component B0 is discussed with respect to helical modes localized about flux surfaces, driven by gradients in both pressure and current, and to axi-symmetric modes. Stability considerations lead to a torus whose minor cross-section is a particular configuration utilizing only one petal of the 'figure-of-eight', with its stagnation line on the side nearest the axis of symmetry and coplanar with the magnetic axis. This wall shape produces toroidal-volume effects and shear satisfying the necessary conditions for stability of localized modes at relatively large values of current density j0 and pressure P0 so that (jK-S/j0)2 ∼κ, ∼ κ½ where jK-S is the Kruskal-Shafranov current. Comparison is made with a standard Tokamak.

日本語訳

プラズマ電流多重極は、中程度の強さのプラズマ電流と、例えば四重極項を含むように導体壁によって磁束面を特別に整形することによって生成される特徴的なセパラトリクスと淀み点により、深い平均井戸と強いシアを有する。大きなアスペクト比κ−1と比較的強いトロイダル磁場成分B0を持つトーラス装置の安定性について、圧力と電流の両方の勾配によって駆動され磁束面に局在するヘリカルモードと、軸対称モードに関して議論する。安定性の考察から、小半径断面が「8の字」の一方の花弁のみを利用した特定の構成であり、その淀み線が対称軸に最も近い側にあり磁気軸と共面であるトーラスが導かれる。この壁形状は、電流密度j0と圧力P0が比較的大きい値で局在モードの安定性に必要な条件を満たすトロイダル体積効果とシアを生成し、(jK-S/j0)2 ∼κ、∼ κ½となる。ここでjK-Sはクラスカル・シャフラノフ電流である。標準的なトカマクとの比較が行われる。

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