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Estimate of the correlation dimension for Tokamak plasma turbulence

H J Barkley, J Andreoletti, F Gervais, J Olivain, A Quemeneur, A Truc1988年Plasma Physics and Controlled FusionIF 2.2出版社

The coherent CO2 laser scattering signals from TFR Tokamak plasmas have been analysed using a variant of the algorithm proposed by Grassberger and Procaccia (1983) to determine the correlation exponent of these measured plasma turbulence signals. By comparing the results obtained with a randomly generated test signal, the authors see that the plasma turbulence may be considered a dynamical system which possesses a low correlation exponent (the value of which depends on wavenumber of the measured turbulence), thus indicating the possible existence of a low dimensional attractor. They also show by using different signals acquired at different sampling rates that this low dimensional structure is only observed when the acquisition rate of the turbulence signal is sufficiently rapid.

日本語訳

TFRトカマクプラズマからのコヒーレントCO2レーザー散乱信号は、GrassbergerおよびProcaccia(1983)によって提案されたアルゴリズムの変種を用いて解析され、これらの測定されたプラズマ乱流信号の相関指数が決定された。ランダムに生成されたテスト信号を用いて得られた結果と比較することにより、プラズマ乱流は低い相関指数(その値は測定された乱流の波数に依存する)を有する力学系と見なすことができることが示され、これにより低次元アトラクタの存在の可能性が示唆される。また、異なるサンプリングレートで取得された異なる信号を用いることにより、この低次元構造は乱流信号の取得レートが十分に高速な場合にのみ観測されることが示された。

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Plasma turbulence
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