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Scaling of plasma transport in Ohmically heated tokamaks

O. Gruber1982年被引用 24Nuclear FusionIF 3出版社

Detailed numerical simulations of the radial temperature and density profiles and energy confinement times measured in Pulsator (2 × 1013 < ⟨ne⟩ < 7 × 1013 cm−3), and in the high-density regime of Alcator C (1014 <⟨ne⟩ < 4.5 × 1014 cm−3) and FT yield a uniform scaling of the transport in Ohmically heated tokamak discharges. The anomalous electron thermal conductivity can be described by a modified Coppi-Mazzucato law, χe [cm2·s−1] = 4.5 × 1010 (Bt [G], ne [cm−3], Te [ke V], Ai ion atomic mass), where the l/(Te q) dependence cannot be distinguished from a law. The particle diffusion is given by the neoclassical term and an anomalous contribution of (0.1–0.3) χe. The transport due to sawtooth oscillations is treated by an enhanced, Bohm-like diffusion within the q = 1 surface. In this model, the apparent saturation of the energy confinement time with density observed especially in Alcator C can be explained without anomalous enhancement of the neoclassical ion heat conductivity. An explanation of the saturation under the usual Alcator-scaling χe ∼ l/ne would require a five-times enhancement above the neoclassical value. The increase in ion heat conductivity due to the toroidal-field ripple is found to be negligible in the regimes considered.

日本語訳

オーム加熱トカマク放電における輸送の統一的スケーリングが、Pulsator(2 × 10^13 < ⟨ne⟩ < 7 × 10^13 cm^−3)、およびAlcator C(10^14 < ⟨ne⟩ < 4.5 × 10^14 cm^−3)とFTの高密度領域において測定された動径温度・密度分布およびエネルギー閉じ込め時間の詳細な数値シミュレーションから得られた。異常電子熱伝導率は修正Coppi-Mazzucato則、χe [cm^2·s^−1] = 4.5 × 10^10 (Bt [G], ne [cm^−3], Te [keV], Ai イオン原子質量)、によって記述でき、l/(Te q)依存性は 則と区別できない。粒子拡散は新古典項と(0.1–0.3)χeの異常寄与によって与えられる。鋸歯状振動による輸送は、q = 1面内での増強されたBohm様拡散によって扱われる。このモデルでは、特にAlcator Cで観測された密度に対するエネルギー閉じ込め時間の見かけ上の飽和は、新古典イオン熱伝導率の異常増強なしに説明できる。通常のAlcatorスケーリングχe ∼ l/neの下での飽和の説明には、新古典値の5倍の増強が必要となる。トロイダル磁場リップルによるイオン熱伝導率の増加は、考察した領域では無視できることが判明した。

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Ohmic heating
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