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Magnetic compressibility and ion-temperature-gradient-driven microinstabilities in magnetically confined plasmas

A Zocco, P Helander, J W Connor2015年Plasma Physics and Controlled FusionIF 2.2出版社

The electromagnetic theory of the strongly driven ion-temperature-gradient (ITG) instability in magnetically confined toroidal plasmas is developed. Stabilizing and destabilizing effects are identified, and a critical βe (the ratio of the electron to magnetic pressure) for stabilization of the toroidal branch of the mode is calculated for magnetic equilibria independent of the coordinate along the magnetic field. Its scaling is βe  ∼  LTe/R, where LTe is the characteristic electron temperature gradient length, and R the major radius of the torus. We conjecture that a fast particle population can cause a similar stabilization due to its contribution to the equilibrium pressure gradient. For sheared equilibria, the boundary of marginal stability of the electromagnetic correction to the electrostatic mode is also given. For a general magnetic equilibrium, we find a critical length (for electromagnetic stabilization) of the extent of the unfavourable curvature along the magnetic field. This is a decreasing function of the local magnetic shear.

日本語訳

磁気閉じ込めトーラス状プラズマにおける強駆動イオン温度勾配(ITG)不安定性の電磁理論を展開する。安定化効果および不安定化効果を特定し、磁場に沿った座標に依存しない磁気平衡に対して、モードのトーラス分支の安定化のための臨界βe(電子圧力と磁気圧力の比)を計算する。そのスケーリングはβe ∼ LTe/Rであり、ここでLTeは特性電子温度勾配長、Rはトーラスの主半径である。高速粒子集団は、平衡圧力勾配への寄与により、同様の安定化を引き起こし得ると推測する。シアを有する平衡に対しては、静電モードに対する電磁補正の臨界安定境界も与えられる。一般の磁気平衡に対しては、磁場に沿った不利な曲率の広がりに関する(電磁安定化のための)臨界長さを求める。これは局所磁気シアの減少関数である。

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