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The spectral slope of strong MHD turbulence has recently been a matter of controversy. While the Goldreich-Sridhar model predicts a -5/3 slope, shallower slopes have been observed in numerics. We argue that earlier numerics were affected by driving due to a diffuse locality of energy transfer. Our highest-resolution simulation (3072^21024) exhibited the asymptotic -5/3 scaling. We also discover that the dynamic alignment, proposed in models with -3/2 slope, saturates and cannot modify the asymptotic, high Reynolds number slope. From the observed -5/3 scaling we measure the Kolmogorov constant C₊₀=3. 270. 07 for Alfv\'enic turbulence and C₊=4. 20. 2 for full MHD turbulence, which is higher than the hydrodynamic value of 1. 64. This larger C₊ indicates inefficient energy transfer in MHD turbulence, which is in agreement with diffuse locality.
Andrey Beresnyak (Mon,) studied this question.
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