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Relativistic neoclassical radial fluxes in the 1/ν regime

I Marushchenko, N A Azarenkov, N B Marushchenko2013年Plasma Physics and Controlled FusionIF 2.2出版社

The radial neoclassical fluxes of electrons in the 1/ν-regime are calculated with relativistic effects taken into account and compared with those in the non-relativistic approach. The treatment is based on the relativistic drift-kinetic equation with the thermodynamic equilibrium given by the relativistic Maxwell–Jüttner distribution function. It is found that for the range of fusion temperatures, Te < 100 keV, the relativistic effects produce a reduction of the radial fluxes which does not exceed 10%. This rather small effect is a consequence of the non-monotonic temperature dependence of the relativistic correction caused by two counteracting factors: a reduction of the contribution from the bulk and a significant broadening with the temperature growth of the energy range of electrons contributing to transport.The relativistic formulation for the radial fluxes given in this paper is expressed in terms of a set of relativistic thermodynamic forces which is not identical to the canonical set since it contains an additional relativistic correction term dependent on the temperature. At the same time, this formulation allows application of the non-relativistic solvers currently used for calculation of mono-energetic transport coefficients.

日本語訳

1/ν領域における電子の新古典輸送フラックスを、相対論効果を考慮して計算し、非相対論的アプローチによる結果と比較する。この取り扱いは、マクスウェル・ユトナー分布によって与えられる熱平衡を伴う相対論的ドリフト運動論方程式に基づく。核融合温度の範囲(Te < 100 keV)において、相対論効果は半径方向フラックスの減少をもたらすが、その減少は10%を超えないことが見出された。この比較的小さな効果は、相対論的補正の非単調な温度依存性の結果であり、これは、バルクからの寄与の減少と、輸送に寄与する電子のエネルギー範囲が温度の上昇とともに著しく拡大することの、二つの相反する要因によって引き起こされる。本論文で提示される半径方向フラックスの相対論的定式化は、一連の相対論的熱力学的力によって表現されるが、これは温度に依存する追加の相対論的補正項を含むため、標準的な熱力学的力の組とは同一ではない。同時に、この定式化により、単一エネルギー輸送係数の計算に現在使用されている非相対論的ソルバーの適用が可能となる。

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