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Stability of a finite-β inhomogeneous plasma in a sheared magnetic field

P.J. Catto, A.M. El Nadi, C.S. Liu, M.N. Rosenbluth1974年被引用 42Nuclear FusionIF 3出版社

In a plasma immersed in a sheared magnetic field of shear length Ls and having a density gradient of scale length Ln, finite ß (plasma pressure/magnetic pressure) results in an additional stabilizing influence over and above that due to magnetic shear. Employing a full electromagnetic treatment, these finite-ß corrections are evaluated for , where ai is the ion gyration radius and k is the wave vector perpendicular to both the direction of the density gradient and the unsheared component of the magnetic field. For the parameter ranges least stabilized by shear, the dominant finite-ß- stabilization effect occurs within the region about the rational surface where the phase velocity is larger than the Alfvén speed. As ß increases toward or (kaim/M)2/3 [In (MLn/m|Ls|)]4/3 this finite-ß correction must be retained, where m/M = electron mass/ion mass.

日本語訳

磁気シア長L_s、密度勾配スケール長L_nを持つシア磁場中のプラズマにおいて、有限β(プラズマ圧力/磁気圧力)は、磁気シアによる安定化効果に加えて、さらなる安定化効果をもたらす。完全な電磁気的取り扱いを用いて、これらの有限β補正を、ここでa_iはイオンジャイロ半径、kは密度勾配の方向と磁場の非シア成分の両方に垂直な波数ベクトルである場合について評価する。シアによる安定化が最も弱いパラメータ領域では、支配的な有限β安定化効果は、位相速度がアルフヴェン速度よりも大きい有理面近傍の領域内で生じる。βが(k a_i m/M)^(2/3) [ln(L_n/m|L_s|)]^(4/3)に向かって増加するにつれて、この有限β補正を保持しなければならない。ここでm/M = 電子質量/イオン質量である。

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