Fig. 3.

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Structure functions Sqv(r) of the velocity field for the MDPL2 mock cube, shown for several orders q (0.5 ≤ q ≤ 2), using 64 × 106 randomly sampled point pairs. Two regimes are visible: (i) a narrow small-scale range below 40 − 50 h−1 Mpc that does not support genuine scaling, and (ii) a second regime spanning nearly one decade in scale. The latter shows multiaffine behaviour with H = ζvMDPL2(1)≈0.11 and ζvMDPL2(2)≈0.16; the condition ζvMDPL2(2) < 2 ζvMDPL2(1) indicates statistically significant intermittency. Solid lines show linear fits with their slopes indicated above each line.
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