• Corpus ID: 90242953

# Scaling Index $\alpha = \frac{1}{2}$ In Turbulent Area Law

@article{Migdal2019ScalingI,
title={Scaling Index \$\alpha = \frac\{1\}\{2\}\$ In Turbulent Area Law},
author={Alexander Migdal},
journal={arXiv: High Energy Physics - Theory},
year={2019}
}
• A. Migdal
• Published 1 April 2019
• Physics
• arXiv: High Energy Physics - Theory
We analyze the Minimal Area solution to the Loop Equations in turbulence \cite{M93}. As it follows from the new derivation in the recent paper \cite{M19}, the vorticity is represented as a normal vector to the minimal surface not just at the edge, like it was assumed before, but all over the surface. As it was pointed in that paper, the self-consistency relation for mean vorticity leads to $\alpha=\frac{1}{2}$, however the similar conditions for product of two and more vorticities cannot be…
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