• Corpus ID: 90242953

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

  title={Scaling Index \$\alpha = \frac\{1\}\{2\}\$ In Turbulent Area Law},
  author={Alexander Migdal},
  journal={arXiv: High Energy Physics - Theory},
  • 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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