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Fluid model of the magnetic presheath in a turbulent plasma

M Stanojević, J Duhovnik, N Jelić, A Kendl, S Kuhn2005年Plasma Physics and Controlled FusionIF 2.2出版社

A fluid model of the magnetic presheath in a turbulent boundary plasma is presented. Turbulent transport corrections of the classical three-dimensional fluid transport equations, which can be used to study magnetic presheaths in various geometries, are derived by means of the ensemble averaging procedure from the statistical theory of plasma turbulence. Then, the magnetic presheath in front of an infinite plane surface is analysed in detail. The linearized planar magnetic presheath equations are applied to the plasma-presheath–magnetic-presheath boundary (i.e. the magnetic presheath edge), whereas the original non-linear planar magnetic presheath equations are used for the entire magnetic presheath, allowing for various sets of experimentally relevant free model parameters to be applied. Important new results of this study are, among others, new expressions for the fluid Bohm criterion at the Debye sheath edge and for the ion flux density perpendicular to the wall. These new results, which exhibit corrections due to the turbulent charged particle transport, can qualitatively explain the fact that whenever the angle between the magnetic field and the wall is very small (i.e. several degrees) or zero, electric currents, measured by Langmuir probes in the boundary regions of nuclear fusion devices and in various low-temperature plasmas, are anomalously enhanced in comparison with those expected or predicted by other theoretical models.

日本語訳

乱流境界プラズマ中の磁気シースの流体モデルを提示する。プラズマ乱流の統計理論からのアンサンブル平均法により、様々な磁気シースを研究するために使用できる古典的な三次元流体輸送方程式の乱流輸送補正を導出する。次に、無限平面の前方の磁気シースを詳細に解析する。線形化された平面磁気シース方程式は、プラズマ-シース-磁気シース境界(すなわち磁気シース端)に適用され、一方、元の非線形平面磁気シース方程式は磁気シース全体に適用され、様々な実験的に関連する自由モデルパラメータの適用を可能にする。この研究の重要な新しい結果は、とりわけ、デバイシース端における流体ボーム条件と、壁に垂直なイオン束密度のための新しい式である。これらの新しい結果は、乱流荷電粒子輸送による補正を示し、磁場と壁の間の角度が非常に小さい(すなわち数度)またはゼロの場合に、核融合装置の境界領域および様々な低温プラズマにおいてラングミュアプローブによって測定された電流が、他の理論モデルによって予想または予測されたものと比較して異常に増強されるという事実を定性的に説明できる。

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