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Extension of a kinetic energy principle to toroidal and cylindrical plasmas

O Agren1987年Plasma Physics and Controlled FusionIF 2.2出版社

The kinetic stability of equilibria derived from distribution functions of the form F+or-(H,Ptheta ), is analysed. The considered class of perturbations are constant along the theta -direction. A variational principle for internal modes is derived. In particular, the orbit integrals are eliminated in this formalism. Under weak assumptions, it is possible to show that the kinetic stability criterion is fulfilled for MHD stable configurations. The study is relevant to 'low- beta ' systems like Tokamaks and theta -pinches. However, the results have most interest for devices with magnetic nulls, such as Extrap and Multipoles. The results can also be applied to purely radial displacements in RFPs.

日本語訳

運動論的安定性は、F+or-(H,Ptheta) の形の平衡分布関数から導かれるものについて解析される。考察される摂動のクラスは、theta 方向に沿って一定である。内部モードに対する変分原理が導出される。特に、この形式では軌道積分が消去される。弱い仮定の下で、運動論的安定性基準が MHD 安定な配位に対して満たされることを示すことができる。この研究は、トカマクやシータピンチのような「低ベータ」系に関連する。しかしながら、その結果は、エクストラップやマルチポールのような磁気零点を持つ装置に対して最も興味深いものである。また、この結果は、RFP における純粋な動径方向の変位にも適用できる。

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