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Thermodynamic fluctuation levels of drift modes and transport coefficients

E Minardi1985年Plasma Physics and Controlled FusionIF 2.2出版社

A statistical model is presented, of a collective electrostatic configuration, described by the Vlasov equation, interacting, through exchange of charged particles, with an infinite homogeneous medium of individual particles. The marginal linear instability of a collective mode is related to a negative dielectric constant of the mode in the medium and to a minimum of the entropy of the collective configuration calculated with suitable coarse graining and physical constraints. When the nonlinear terms are taken into account the entropy has a maximum corresponding to an equilibrium with a definite fluctuation level of the interacting systems. The model is applied to the electrostatic drift modes destabilized by the toroidal geometry of the Tokamak. The interaction with the medium also produces a fluctuation of the charges, which participate to the electron parallel current of the Tokamak. This fluctuating current is divergenceless and creates a braided magnetic field and anomalous thermal diffusivity of the electrons. The magnitude and the scaling of the electron thermal conductivity are consistent with the observations in ohmic discharges.

日本語訳

静電的集団配置を記述するブラゾフ方程式と相互作用する荷電粒子の交換を通じて、無限均質媒質と相互作用する統計モデルが提示される。集団モードの線形不安定性は、媒質中のモードの負の誘電率と、適切な粗視化と物理的制約のもとで計算された集団配置のエントロピーの最小値に関連する。非線形項を考慮すると、エントロピーは、相互作用する系の明確なゆらぎレベルに対応する平衡状態において最大値をとる。このモデルは、トカマクのトロイダル形状によって不安定化される静電ドリフトモードに適用される。媒質との相互作用は、トカマクの電子平行電流に寄与する電荷のゆらぎも生み出す。このゆらぎ電流は発散がなく、磁場のブラッディング構造と電子の異常熱拡散率を生成する。電子熱拡散率の大きさとスケーリング則は、オーミック放電における観測結果と一致する。

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