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Theory of the interaction of an RF field with trapped particles in tokamaks

V.S. Belikov, Ya.I. Kolesnichenko1987年被引用 5Nuclear FusionIF 3出版社

The authors have formulated a theory of interaction between waves having frequencies much lower than the cyclotron frequency and trapped particles in tokamaks. They have obtained a criterion for stochastic transition due to the overlapping of the wave-particle bounce resonances. Collisional stochasticity is studied in a case where this criterion is not satisfied. It is shown that, depending on the relationship between the time of the collisional transition to stochasticity, the bounce period of particle motion in a toroidal field and the oscillation period for particle energy in the superposition of the tokamak magnetic field and the wave field, there may be three different regimes (of weak, moderate and strong oscillations). Equations describing the effect of the RF field on the distribution function of trapped particles have been derived. By means of these equations, some consequences concerning the RF power absorption by trapped particles have been identified.

日本語訳

著者らは、サイクロトロン周波数よりもはるかに低い周波数を持つ波とトカマク内の捕捉粒子との間の相互作用の理論を定式化した。彼らは、波動-粒子バウンス共鳴の重なりによる確率遷移の基準を得た。衝突性確率性は、この基準が満たされない場合において研究される。確率性への衝突遷移の時間、トロイダル磁場中の粒子運動のバウンス周期、およびトカマク磁場と波動場の重ね合わせにおける粒子エネルギーの振動周期の間の関係に依存して、3つの異なる領域(弱い、中程度、および強い振動の)が存在し得ることが示される。RF場が捕捉粒子の分布関数に及ぼす効果を記述する方程式が導出された。これらの方程式を用いて、捕捉粒子によるRFパワー吸収に関するいくつかの結果が特定された。

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