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The effect of the angular dispersion term on energy deposition of fast α-particles slowing down in a D-T plasma

S D Paranjape, D C Sahni1987年Plasma Physics and Controlled FusionIF 2.2出版社

The linear Fokker-Planck equation for external charged particles slowing down in a fully ionized D-T plasma has been solved in one-dimensional plane geometry by the technique of Legendre polynomial and Fourier series expansion. The vacuum boundary condition at the plasma surface has been treated by appending to it a fictitious medium in which angular dispersion is absent. For alpha particles slowing down in a fully ionized D-T plasma the effect of the angular dispersion term on the energy deposition profiles has been estimated quantitatively and found to be small. It is found that it may be masked by errors introduced by the discretisation procedures employed in the numerical solutions of the Fokker-Planck equation.

日本語訳

線形フォッカー・プランク方程式は、完全電離D-Tプラズマ中で減速する外部粒子に対して、ルジャンドル多項式とフーリエ級数展開の手法を用いて一次元平面幾何において解かれた。プラズマ表面における真空境界条件は、角度分散が存在しない仮想的な媒質を付加することによって処理された。完全電離D-Tプラズマ中で減速するアルファ粒子に対して、エネルギー堆積プロファイルに対する角度分散項の影響は定量的に評価され、小さいことが判明した。それは、フォッカー・プランク方程式の数値解に用いられる離散化手順によって導入される誤差によって隠蔽される可能性があることが見出された。

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