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When can the Fokker–Planck equation describe anomalous or chaotic transport? Intuitive aspects

D F Escande, F Sattin2008年Plasma Physics and Controlled FusionIF 2.2出版社

The Fokker–Planck equation (FPE) is a quite flexible tool for experimental and numerical data analysis. However, advective–diffusive effects may compete with a curvature pinch or the impact of a localized source to determine profiles of transported quantities. Depending on the statistics of interest and/or on the radial extension of the transport process, the same dynamical system may be found diffusive or dominated by its Lévy flights. The Kubo number plays a leading role in determining whether diffusive transport is in the quasilinear regime. It would be advisable to systematically compute it from experimental or numerical data, in order to clarify the issue of its value in magnetic fusion turbulence.

日本語訳

Fokker-Planck方程式(FPE)は、実験データおよび数値データの解析のための極めて柔軟なツールである。しかしながら、移流-拡散効果は、輸送される量の分布を決定する際に、曲率または局所的な源の影響と競合し得る。関心のある統計量および/または輸送過程の径方向の広がりに応じて、同じ力学系が拡散的であるか、またはそのLévyフライトによって支配されていると見なされ得る。Kubo数は、拡散輸送が準線形領域にあるかどうかを決定する上で主要な役割を果たす。磁気閉じ込め核融合乱流におけるその値の問題を明確にするために、実験データまたは数値データからKubo数を系統的に計算することが推奨される。

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