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Kinetic theory of electromagnetic geodesic acoustic modes

A I Smolyakov, C Nguyen, X Garbet2008年Plasma Physics and Controlled FusionIF 2.2出版社

The electromagnetic effects on geodesic acoustic modes due to electron parallel motion are investigated by employing the kinetic theory and appropriate expansion of the electron distribution function. The existence of several electromagnetic modes involving average geodesic curvature with different frequencies and polarization are revealed. It is shown that there are two Alfven side-band modes with different polarizations which also have different values of adiabatic indices due to average geodesic compressibility. The dispersion corrections to the eigen-frequencies of geodesic acoustic and related electromagnetic modes are investigated. It is shown that the dispersion due to electron dynamics is different depending on whether the electron response is adiabatic or hydrodynamic, i.e. depends on the ratio of the parameter, . It is noted that for m = n = 0 only the hydrodynamic regime is possible, . Principal electron effects leading to the dispersion involve a finite ion-sound Larmor radius , electron inertia and a finite electron magnetic drift frequency, .

日本語訳

電磁効果が測地線音響モードに及ぼす影響を、電子の平行運動によるものを運動論と電子分布関数の適切な展開を用いて調べた。平均測地曲率を伴う複数の電磁モードが、異なる周波数と偏波を有して存在することが明らかにされた。異なる偏波を有する2つのアルフヴェン側波帯モードが存在し、これらは平均測地圧縮性により異なる断熱指数の値も有することが示された。測地線音響モードおよび関連する電磁モードの固有周波数に対する分散補正を調べた。電子の応答が断熱的であるか流体的であるかに応じて、電子動力学による分散が異なることが示され、これはパラメータ の比に依存する。m = 0 かつ n = 0 の場合には流体的領域のみが可能であることが指摘された。分散に寄与する主要な電子効果には、有限イオン音速ラーマー半径 、電子慣性 、および有限電子磁気ドリフト周波数 が含まれる。

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Acoustic modeGeodesic acoustic mode
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