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A universal Ohm's law for tokamak plasmas

A.A. Ware1973年被引用 13Nuclear FusionIF 3出版社

For a stable Tokamak plasma and given Z-value, it is shown that there is a universal relationship for the toroidal current density which is satisfied in all collisional regimes to within an accuracy of 6%. With Z = 1, the relationship is jϕ=σ||s (Eϕ + VrBθ + [0.32rBθ/nTe]). The only exception occurs for Pfirsch-Schlüter transport where the coefficient of the electron heat flux r changes from 0.32 to 0.28. This universal relationship is derived from published transport equations and also directly. It is an extra relationship between the fluxes which results because the first-order Larmor radius perturbation to the electron distribution function has approximately only two moments.

日本語訳

安定なトカマクプラズマと与えられたZ値に対して、トロイダル電流密度には、すべての衝突領域において6%の精度以内で満たされる普遍関係が存在することが示される。Z=1の場合、その関係は jϕ=σ||s (Eϕ + VrBθ + [0.32rBθ/nTe]) である。唯一の例外は、ピルシュ・シュリューター輸送において、電子熱流束 r の係数が0.32から0.28に変わる場合に生じる。この普遍関係は、公表された輸送方程式からも、また直接にも導かれる。これは、電子分布関数に対する一次のラーモア半径摂動が近似的にわずか二つのモーメントしか持たないために生じる、フラックス間の追加の関係式である。

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