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Short wavelength drift waves in a magnetic quadrupole

J E Willett, Y Aktas, P Uddholm1986年Plasma Physics and Controlled FusionIF 2.2出版社

A linear theory is developed for drift waves with frequencies between the electron and ion bounce frequencies in a collisionless plasma confined to a magnetic quadrupole. An integro-differential eigenvalue equation which allows for large ion-Larmor-radius effects, temperature gradients, and radial variation of the eigenfunction is derived from the linearized Vlasov equation. The fundamental drift mode observed in the UMIST steady-state quadrupole has one full wavelength around a closed magnetic field line with the electrostatic wave potential antisymmetric about the maximum field points. By numerical solution of the eigenvalue equation, the theoretical dispersion curve for this mode is extended to short wavelengths and the variation of the corresponding potential along a field line is determined.

日本語訳

磁気四重極に閉じ込められた無衝突プラズマにおいて、電子とイオンのバウンス周波数の間の周波数を持つドリフト波に対する線形理論が展開される。大きなイオン・ラーマー半径効果、温度勾配、および固有関数の動径方向の変化を考慮した積分微分固有値方程式が、線形化されたブラソフ方程式から導出される。UMIST定常四重極で観測される基本ドリフトモードは、閉じた磁力線に沿って1波長を持ち、静電波ポテンシャルは最大磁場点に関して反対称である。固有値方程式の数値解により、このモードに対する理論分散曲線は短波長に拡張され、対応するポテンシャルの磁力線に沿った変化が決定される。

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Drift waves
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