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On the anomalous Doppler/inner Lindblad resonance

R O Dendy1991年Plasma Physics and Controlled FusionIF 2.2出版社

There are strong formal similarities between the condition for anomalous Doppler resonance in plasmas ( omega -k/sub ///v/sub ///=- Omega , where omega is the frequency of the perturbing wave field, k/sub ///v/sub /// measures the Doppler shift due to guiding-centre motion, and Omega is the cyclotron frequency) and the condition for inner Lindblad resonance in stellar discs ( Omega b- Omega 0=- kappa /m, where Omega b is the frequency of the perturbing wave field, whose azimuthal harmonic number is m, Omega 0 is the natural frequency of equilibrium guiding-centre circulation, and kappa is the epicyclic frequency). It is shown that this similarity reflects a close underlying correspondence between the two forms of resonance.

日本語訳

プラズマにおける異常ドップラー共鳴の条件(ω - k∥v∥ = -Ω、ここでωは摂動波場の周波数、k∥v∥はガイドセンター運動によるドップラーシフトを表し、Ωはサイクロトロン周波数である)と、恒星円盤における内側リンドブラッド共鳴の条件(Ω_b - Ω_0 = -κ/m、ここでΩ_bは摂動波場の周波数、mはその方位角高調波数、Ω_0は平衡ガイドセンター循環の固有周波数、κは周転円周波数である)との間には、強い形式的類似性が存在する。この類似性は、2つの共鳴形態の間に密接な根底的な対応関係があることを反映していることが示される。

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