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Two kinds of mirror modes in a nonzero electron-temperature plasma

Dmitri Yu Klimushkin, Danila V Kostarev2012年Plasma Physics and Controlled FusionIF 2.2出版社

This communication describes the study of mirror modes in a plasma with a small or large fraction of cold electrons within a gyrokinetic framework. It was found that if the number of cold electrons is me/mi times smaller than the number of hot electrons, the dispersion relation of the compressional perturbation represents a modification of the magnetohydrodynamics slow mode dispersion relation; if the plasma anisotropy is small, the perturbation is an oscillation, but if the anisotropy is sufficient, the square of the oscillation frequency becomes negative and one of the solutions represents the 'fluid' mirror instability. In the opposite case, when the number of cold electrons is me/mi times larger than the number of hot electrons, the perturbation is damping in the non-oscillatory regime if the anisotropy is small, and growing in the case of large anisotropy. This is the 'kinetic' mirror instability. For both kinetic instabilities, the threshold is the same, but the growth rates are different.

日本語訳

本稿では、ジャイロ運動論的枠組みにおける、冷たい電子の割合が小さいまたは大きいプラズマ中のミラー不安定性の研究について述べる。冷たい電子の数が、熱い電子の数に対してme/mi倍よりも小さい場合、圧縮性摂動の分散関係は、磁気流体力学の低速モード分散関係の修正を表すことが見出された。プラズマの異方性が小さい場合、摂動は振動的であるが、異方性が十分に大きい場合、振動周波数の二乗は負となり、その解の一つは「流体」ミラー不安定性を表す。逆に、冷たい電子の数が、熱い電子の数に対してme/mi倍よりも大きい場合、異方性が小さければ摂動は減衰し、異方性が大きければ成長する。これは「運動論的」ミラー不安定性である。両方の運動論的不安定性について、閾値は同じであるが、成長率は異なる。

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