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Overstability of cold plasma waves

F. Gratton, J. Gratton, J. Sanchez1971年被引用 7Nuclear FusionIF 3出版社

The dielectric operator for non-homogeneous plane-parallel cold plasma flows in an external magnetic field is given. The potential oscillations of two sliding plasmas are investigated. Expressions for the energy transfer between the plasmas, and the energy of the modes, are derived. A group-velocity analysis shows that pair emission of negative and positive energy waves occurs for modulation along the flow. Transverse modulation leads to an overstability of the system. A connection between the radiated plasma resonances and the overstability is worked out. Regions of existence and properties of the unstable modes are discussed in detail. For oblique modulations the regions of existence of unstable modes show marked departures from the already known results for parallel modulation.

日本語訳

非一様な平面平行冷プラズマ流における外部磁場中の誘電演算子が与えられる。二つの滑動プラズマのポテンシャル振動が調べられる。プラズマ間のエネルギー輸送およびモードのエネルギーに対する表現が導出される。群速度解析により、流れに沿った変調に対して負および正のエネルギー波の対生成が生じることが示される。横方向の変調は系の過安定性をもたらす。放射されたプラズマ共鳴と過安定性との間の関連が明らかにされる。不安定モードの存在領域とその性質が詳細に議論される。斜め変調に対しては、不安定モードの存在領域は、平行変調に対する既知の結果からの顕著な逸脱を示す。

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