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Propagation of torsional Alfven waves in an inhomogeneous plasma

R C Cross1988年Plasma Physics and Controlled FusionIF 2.2出版社

In ideal MHD, the behaviour of the torsional Alfven wave in a cylindrical, inhomogeneous plasma depends on the m spectrum of the wave, where m is the azimuthal mode number. It is well known that a pure m=0 mode is phase-mixed by a density gradient and that modes with integer m are coupled to the fast wave at an Alfven resonance layer. The author considers the propagation of a narrow, magnetically guided beam in an inhomogeneous, current-free plasma. Such a beam contains an infinite spectrum of m components. It is shown that a guided beam is decoupled from the fast wave, despite the fact that omega lies in the Alfven continuum, and it is not phase-mixed by the density gradient. The relation omega /kz= nu A(x,y) describing modes with zero or integer m is therefore not appropriate for a wave containing an infinite spectrum of m components.

日本語訳

理想的なMHDにおいて、円筒状の不均一プラズマ中のねじれアルフヴェン波の挙動は、波のmスペクトルに依存する。ここでmは方位角モード数である。純粋なm=0モードは密度勾配によって位相混合され、整数mを持つモードはアルフヴェン共鳴層において高速波と結合することはよく知られている。著者は、不均一で電流のないプラズマ中を伝播する狭い磁気誘導ビームを考察する。このようなビームは無限のm成分スペクトルを含む。磁気誘導ビームは、ωがアルフヴェン連続体の中にあるにもかかわらず、高速波から切り離されており、密度勾配によって位相混合されないことが示される。したがって、ゼロまたは整数のmを持つモードを記述する関係式ω/kz=νA(x,y)は、無限のm成分スペクトルを含む波に対しては適切ではない。

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