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Fokker-Planck description of nonlinear electron dynamics in a coherent wave packet

S J Tanaka1987年Plasma Physics and Controlled FusionIF 2.2出版社

Nonlinear electron dynamics in a coherent wave packet is investigated via Fokker-Planck equations. Electrons are trapped (and detrapped) by the coherent wave potential whose amplitude is large so that the electron bounce time in the potential well is smaller than the electron transit time through the packet. This effect is now included into the wave-induced friction and diffusion terms in the Fokker-Planck equation. The quasi-steady state distribution of the electrons is obtained to have a tail which is neither a quasilinear one nor a plateau. The wave induced steady current and the ratio of the current to the dissipated power are numerically calculated to be compared to those obtained from the quasilinear theory.

日本語訳

非線形電子ダイナミクスをコヒーレント波動パケット中でフォッカー・プランク方程式を用いて調べた。電子は、その振幅が大きく、波動パケット内の電子バウンス時間がパケット通過時間よりも小さくなるようなコヒーレント波動ポテンシャルによって捕捉(および脱捕捉)される。この効果をフォッカー・プランク方程式における波動誘起摩擦項および拡散項に組み込んだ。電子の準定常分布は、準線形分布でもプラトー分布でもないテールを有することが得られた。波動誘起定常電流および消散パワーに対する電流の比を数値的に計算し、準線形理論から得られる結果と比較した。

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