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A variational approach to pseudoclassical diffusion

Y. Gell, W. Nevins1975年被引用 3Nuclear FusionIF 3出版社

The variational principle of irreversible entropy production as formulated by Rosenbluth, Hazeltine and Hinton is used to evaluate the electron thermal diffusion coefficient. Starting from an equal-temperature plasma kinetic equation using the drift approximation and assuming that a small periodic electrostatic non-uniformity exists within the plasma we derive an expression for the electron heat flux. In this derivation the full Fokker-Planck collision operator is employed and the effect of both like and unlike particles is included. The coefficient of electron thermal diffusion deduced from the electron heat flux expression is identical with the one deduced by Pogutse (up to a multiplicative factor), and is in qualitative agreement with the pseudoclassical result.

日本語訳

Rosenbluth、HazeltineおよびHugueによって定式化された不可逆エントロピー生成の変分原理を用いて、電子熱拡散係数を評価する。ドリフト近似を用いた等温プラズマ運動方程式から出発し、プラズマ内に小さな周期的静電的非一様性が存在すると仮定して、電子熱流束の式を導出する。この導出では、完全なFokker-Planck衝突演算子を用い、同種粒子および異種粒子の両方の効果を含める。電子熱流束の式から導かれる電子熱拡散係数は、Pogutseによって導かれたものと(乗法因子を除いて)同一であり、擬古典的結果と定性的に一致する。

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