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MHD theory of stationary interaction between a high-frequency field and a plasma in non-homogeneous fields

Jiří Teichmann1965年被引用 8Nuclear FusionIF 3出版社

Using the MHD (magneto-hydrodynamic) model of the three-component plasma, we discuss the forces affecting unit volume of an unbounded plasma in a space occupied by generally nonuniform high-frequency and magnetostatic fields. In the metric defined by the geometry of the magnetic field lines, we derive the forces affecting the three-fluid plasma arising from a high-frequency field with a high 1E/1H ratio. Effects of collisions among plasma components and viscosity are included. The solution has been obtained by applying the method of successive approximations. Similarly, anisotropic plasma is studied in the collision-free approximation. Stationary hf forces in fundamental field configurations are quantitatively discussed; there are some characteristic effects in fields with curved field lines. The role of the temperature correction is discussed. The hf forces, especially near the cyclotron frequencies, can be used for the limitation of plasma escape along magnetic lines and for the acceleration and injection of plasma in nonuniform magnetostatic fields. The possibilities of the application in magnetic traps are demonstrated by some examples.

日本語訳

三成分プラズマのMHD(磁気流体力学)モデルを用いて、一般に非一様な高周波場および静磁場が占める空間内の非有界プラズマの単位体積に作用する力を議論する。磁力線の幾何学によって定義される計量において、高い1E/1H比を持つ高周波場に起因する三流体プラズマに作用する力を導出する。プラズマ成分間の衝突および粘性の効果が含まれる。解は逐次近似法を適用することによって得られている。同様に、無衝突近似において異方性プラズマが研究される。定常的なhf力は基本磁場配位において定量的に議論される;曲がった磁力線を持つ場にはいくつかの特徴的な効果がある。温度補正の役割が議論される。hf力は、特にサイクロトロン周波数近傍では、磁力線に沿ったプラズマの漏出の制限や、非一様な静磁場中でのプラズマの加速および入射に利用できる。磁気トラップへの応用の可能性がいくつかの例によって示される。

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Magnetohydrodynamics
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