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The interaction of a finite amplitude RF field with trapped electrons in tokamaks

V.S. Marchenko1994年被引用 2Nuclear FusionIF 3出版社

The interaction between waves having frequencies much lower than the cyclotron frequency and trapped electrons is considered in the limit α ≡ ωw2/λωbo2 >> 1 (here ωw is the particle oscillation frequency in the wave field, ωbo is the bounce frequency of trapped particles and λ = k||qR). In this case, stochasticity arises due to the separatrix crossings experienced by electrons when they pass through a wave-particle resonance on the bounce trajectory. According to general theory, for successive resonance passages, changes in the adiabatic invariant are uncorrelated. As a result, diffusion in velocity space should arise. The calculated diffusion coefficient scales as D ∝ α-1ln2α while in the opposite limit, α << 1, D ∝ α2. This degradation of diffusion coefficient is favourable for current drive efficiency, since a smaller fraction of the total RF power is absorbed by trapped electrons

日本語訳

サイクロトロン周波数よりはるかに低い周波数を持つ波と捕捉電子との相互作用を、極限 α ≡ ωw/λωbo2 >> 1 において考察する(ここで ωw は波動場中の粒子の振動周波数、ωbo は捕捉電子のバウンス周波数、λ = k||qR である)。この場合、確率性は、電子がバウンス軌道上で波-粒子共鳴を通過する際に経験するセパラトリックス横断から生じる。一般理論によれば、連続する共鳴通過に対して、断熱不変量の変化は無相関である。その結果、速度空間における拡散が生じるはずである。計算された拡散係数は D ∝ α-1ln2α とスケールし、一方、逆の極限 α << 1 では D ∝ α2 である。この拡散係数の低下は、電流駆動効率にとって好都合である。なぜなら、全RFパワーのうち捕捉電子に吸収される割合が小さくなるからである。

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