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Quasi-linear theory of Cerenkov plasma heating

V.V. Dolgopolov, V.L. Sizonenko1967年被引用 6Nuclear FusionIF 3出版社

The authors investigate Cerenkov heating in a radially non-uniform plasma cylinder, taking into account the effect of oscillations on the 'background' charged particle distribution function. They derive equations for particle diffusion in velocity space which are valid for both 'narrow' and 'broad' wave packets, and also expressions for the energy absorbed by the plasma. The effect of collisions is taken into account. The energy gained per unit time by an ion is estimated for the case of 'broad' wave packets, when the 'background' distribution function is non-Maxwellian to an insignificant extent. It is shown that in the case of 'narrow' wave packets, when the coefficient of diffusion in velocity space (characterizing the effect of oscillations on the 'background' distribution function) exceeds the coefficient of diffusion due to collisions, 'absorption saturation' ensues and an increase in the amplitude of the electromagnetic field does not lead to an increase in absorbed energy. It is also shown that heating with 'narrow' wave packets is no less effective than heating with 'broad' wave packets, provided that the 'background' distribution function in the latter case is not significantly non-Maxwellian.

日本語訳

著者らは、動径方向に非一様なプラズマ円柱におけるチェレンコフ加熱を、'背景'荷電粒子分布関数に対する振動の効果を考慮に入れて調べる。彼らは、'狭い'波束と'広い'波束の両方に対して有効な速度空間における粒子拡散の方程式と、プラズマが吸収するエネルギーの式を導出する。衝突の効果が考慮される。'広い'波束の場合、すなわち'背景'分布関数が無視できる程度にしか非マクスウェル的でない場合に、イオンが単位時間に得るエネルギーが見積もられる。'狭い'波束の場合、速度空間における拡散係数('背景'分布関数に対する振動の効果を特徴づける)が衝突による拡散係数を超えると、'吸収飽和'が生じ、電磁場の振幅を増大しても吸収エネルギーの増大にはつながらないことが示される。また、'広い'波束の場合に'背景'分布関数が有意に非マクスウェル的でないならば、'狭い'波束による加熱は'広い'波束による加熱と同等以上に効果的であることも示される。

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Plasma heating
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