Result of the 2D structure function method, applied over one of the MHD simulation outputs presented in Sect. 6, for the determination of an inertial range of spatial scales. A total of 5 × 108 couples of points (x1, x2) are chosen uniformly in the spatial domain; the moments q have values between 0.1 and 5, with increment steps of 0.1 (for clarity, only a few of the moments are shown). The first panel shows the graphs of the log − log plot (Eq. (25), with colors indicating some moment values, q). As in Fig. 15, the graphs show linear regression fits (dotted lines) performed in an inertial range covering the interval of distance [0.18, 1.5] pc. The second panel displays the map q↦ζ(q). The third and fourth panels show the quality of linear regression: sse and the r correlation coefficient.
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