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The influence of viscosity and magnetic shear on Rayleigh-Taylor modes of plasma

F T Gratton, A G Gonzalez1986年Plasma Physics and Controlled FusionIF 2.2出版社

The equations of gravitational modes of stratified, incompressible and ideally conducting fluids, with a viscous tensor in a sheared magnetic field are given. Boundary conditions at fluid discontinuities are derived. Properties of the frequency spectrum are obtained from variational principles. A detailed description of the modes and the Rayleigh-Taylor instability is given for a plasma-vacuum interface, with different magnetic fields on each side, in three cases: isotropic viscous properties, vc>> omega ci( omega ci, ion cyclotron frequency; vc, ion collision frequency) and non isotropic viscous properties in the limit omega ci>>vc for k//B0, which is dominated by dissipative forces and for k perpendicular to B0, which is governed by gyroscopic forces. Applications of the theory to accelerated plasmas are discussed.

日本語訳

成層化され、非圧縮性で、完全導電性の流体における、せん断磁場中の粘性テンソルを伴う重力モードの方程式を与える。流体不連続面における境界条件を導出する。周波数スペクトルの性質を変分原理から得る。プラズマ・真空界面におけるモードとレイリー・テイラー不安定性の詳細な記述を、各側で異なる磁場を持つ場合について、三つのケースで与える:等方的粘性特性、vc>>ωci(ωciはイオンサイクロトロン周波数、vcはイオン衝突周波数)、およびωci>>vcの極限における非等方的粘性特性で、k//B0の場合(散逸力が支配的)とk⊥B0の場合(ジャイロスコピック力が支配的)について述べる。この理論の加速プラズマへの応用について議論する。

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Magnetic shearRayleigh-Taylor instability
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