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Time-dependent solution of Fokker-Planck equation for alpha-particles and its effect on alpha-particle heating characteristics in a D-T fusion reactor

H. Tsuji, M. Katsurai, T. Sekiguchi, N. Nakano1976年被引用 22Nuclear FusionIF 3出版社

The transient time history of the energy distribution function of alpha-particles in the D-T fusion reactors is obtained by numerically solving a Fokker-Planck equation, by taking into consideration the possible alpha-particle loss from the core-plasma volume. On the basis of the results obtained, the total amount of energy transfer to background plasma and the efficiency of the alpha-particle heating, together with the partition of energy transfer to electrons and to ions, are calculated. In addition, a new fact has been found, i. e. the effect of an 'inertial' property of the alpha-particle distribution function on the transient response of the total amount of energy transfer for a temporal perturbation of the parameters of background D-T plasma, which is important in connection with stability and control problems of D-T reactor-core plasmas.

日本語訳

D-T核融合炉におけるアルファ粒子のエネルギー分布関数の時間的過渡履歴は、フォッカー・プランク方程式を数値的に解くことによって得られ、その際にコアプラズマ体積からのアルファ粒子の可能な損失を考慮に入れる。得られた結果に基づいて、背景プラズマへの全エネルギー輸送量とアルファ粒子加熱効率が、電子とイオンへのエネルギー輸送の配分とともに計算される。さらに、新たな事実が発見された。すなわち、背景D-Tプラズマのパラメータの時間的摂動に対する全エネルギー輸送量の過渡応答におけるアルファ粒子分布関数の「慣性」特性の効果であり、これはD-T炉心プラズマの安定性および制御問題に関連して重要である。

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