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On the properties of turbulence intermittency in the boundary of the TEXTOR tokamak

Y H Xu, S Jachmich, R R Weynants, the TEXTOR team2005年Plasma Physics and Controlled FusionIF 2.2出版社

Intermittent convective transport has been investigated in the edge and the scrape-off layer (SOL) of TEXTOR using Langmuir probe signals. The probability distribution function (PDF) of the density fluctuations and the turbulence-induced flux are all positively skewed, while a Gaussian shape is recorded for the negative fluctuations. The deviation of the signals from Gaussian statistics clearly increases from the plasma edge to the SOL. Conditional averaging reveals that in the SOL region the waveform of intermittent structures is asymmetric in time and the burst events move radially outwards with Eθ × BT/B2 velocities of ∼ 450 m s−1. It is found that the large burst fluctuations (⩾2.5 × rms) account for nearly 40% of the total transport in the SOL. Statistics of the waiting-time between successive bursts indicate that the PDF of the time interval follows a Poisson-distribution for small-duration events (selected by size ⩽2.5 × rms) and changes into a power-law form for larger ones. Moreover, the intermittency density fluctuation data clearly show self-similar characters and long-range time correlations through the presence of (1) sandpile-like frequency spectra and existence of the f−1 region; (2) a long tail in the autocorrelation function and (3) Hurst exponents H > 0.5 from R/S analysis, suggesting a possible role of avalanche-like transport in the turbulence intermittency.

日本語訳

間欠的対流輸送が、TEXTORのエッジ領域およびスクレイプオフ層(SOL)において、ラングミュアプローブ信号を用いて調査された。密度変動および乱流誘起フラックスの確率分布関数(PDF)はすべて正の歪みを示す一方、負の変動に対してはガウス形状が記録された。信号のガウス統計からの偏差は、プラズマエッジからSOLに向かって明確に増加する。条件付き平均により、SOL領域では間欠的構造の波形が時間的に非対称であり、バースト事象はEθ × BT/B2の速度で約450 m s−1の径方向外向きの運動を示すことが明らかになった。大きなバースト変動(≥2.5 × rms)がSOLにおける全輸送の約40%を占めることが見出された。連続するバースト間の待ち時間の統計は、小さい事象(サイズ≤2.5 × rmsで選択)に対しては時間間隔のPDFがポアソン分布に従い、より大きい事象に対してはべき乗則形式に変化することを示す。さらに、間欠性密度変動データは、(1) サンドパイル型周波数スペクトルとf−1領域の存在、(2) 自己相関関数における長いテール、(3) R/S解析によるハースト指数H > 0.5、を通じて自己相似性と長距離時間相関を明確に示しており、乱流間欠性におけるアバランシェ様輸送の可能性を示唆している。

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