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Normal mode master equation for the distribution of lower hybrid electromagnetic energy in tokamaks

D Moreau, J M Rax, A Samain1989年Plasma Physics and Controlled FusionIF 2.2出版社

The master equation for the poloidal spectrum of electromagnetic energy in a toroidal plasma is derived. This equation provides a theoretical framework for a global description of the propagation and absorption of lower hybrid waves (or any weakly damped small wavelength mode) in present-day Tokamaks. Resonant toroidal couplings between the unperturbed cylindrical modes are the basic processes involved in this description. They lead to the destruction of correlations above a stochasticity threshold for the toroidal perturbation. A general method for computing the coupling coefficients is proposed and applied under typical current generation conditions. This normal mode energy diffusion provides a simple theory to address the so-called 'spectral gap' problem.

日本語訳

トロイダルプラズマにおける電磁エネルギー極方向スペクトルのマスター方程式を導出する。この方程式は、現在のトカマクにおける低混成波(または任意の弱減衰短波長モード)の伝播と吸収の全体像を記述するための理論的枠組みを提供する。摂動を受けていない円筒モード間の共鳴トロイダル結合は、この記述に関わる基本的な過程である。それらは、トロイダル摂動に対する確率性閾値を超えた相関の破壊をもたらす。結合係数を計算するための一般的な方法を提案し、典型的な電流駆動条件下で適用する。このノーマルモードエネルギー拡散は、いわゆる「スペクトルギャップ」問題に対処するための単純な理論を提供する。

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Lower hybrid
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