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Variational principle and comparison theorem for the kinetic stability of two-dimensional Vlasov equilibria

O Agren1986年Plasma Physics and Controlled FusionIF 2.2出版社

Distribution functions of the form F(H,pz) are used to describe two-dimensional high beta plasmas with purely axial current. Both species, electrons and singly charged ions, are treated kinetically. Vacuum fields and effects due to neutral lines, finite gyro radii, particle trapping and electrostatic fields are included in the study. For z independent perturbations, a variational principle, which is simple to use in applications, is derived. Pressure profiles fulfilling the corresponding stability criterion are found in Extrap and in z pinch geometry. For a large class of displacements, the system is kinetically stable if it is MHD stable.

日本語訳

分布関数F(H, p_z)の形は、純粋に軸方向の電流を有する二次元高ベータプラズマを記述するために用いられる。電子と単一荷電イオンの両方の粒子種が運動論的に扱われる。真空磁場、ならびに中性線、有限ジャイロ半径、粒子捕捉、および静電場による効果が研究に含まれる。z独立の摂動に対して、応用において簡便な変分原理が導出される。対応する安定性条件を満たす圧力分布が、Extrap配位およびzピンチ配位において見出される。広範な変位のクラスに対して、系がMHD的に安定であれば運動論的にも安定である。

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