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On the stochastic interaction of monochromatic Alfven waves with toroidally trapped particles

L Krlin, P Pavlo, Z Tluchor, Z Gasek1987年Plasma Physics and Controlled FusionIF 2.2出版社

The interaction of monochromatic Alfven waves with toroidally trapped particles in the intrinsic stochasticity regime is discussed. Both the diffusion in velocities as well as in the radial position of bananas is studied. Using suitable Hamiltonian formalism, the effect of wave parallel component E/sub /// is investigated. By means of the direct numerical integration of the corresponding canonical equations, the stochasticity threshold both for plasma electrons and for thermonuclear alpha-particles is estimated (neglecting the effect of B/sub ///). Stochasticity causes the transfer between trapped and untrapped regimes and the induced diffusion of bananas. The latter effect can exceed the neoclassical diffusion considerably. The effect of B/sub /// has been estimated analytically. It consists in the frequency modulation of banana periodic motion, coupled with the possibility of the Mathieu instability. Nevertheless, for B/sub /// corresponding to E/sub ///, the effect seems to be weaker than the effect of E/sub ///, when thermonuclear regime is considered.

日本語訳

固有確率性領域における単色アルフヴェン波とトロイダル捕捉粒子との相互作用について論じる。速度空間における拡散と、バナナ軌道の動径位置における拡散の両方が研究される。適切なハミルトン形式を用いて、波の平行成分 E_// の効果が調べられる。対応する正準方程式の直接数値積分により、プラズマ電子と熱核アルファ粒子の両方に対する確率性の閾値が推定される(B_// の効果は無視する)。確率性は、捕捉領域と非捕捉領域の間の遷移と、バナナ軌道の誘起拡散を引き起こす。後者の効果は、新古典拡散をかなり上回り得る。B_// の効果は解析的に推定されている。それは、マチュー不安定性の可能性と結合した、バナナ周期運動の周波数変調から成る。それにもかかわらず、E_// に対応する B_// に対しては、熱核領域を考慮する場合、その効果は E_// の効果よりも弱いと思われる。

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Alfvén wave
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