In the absolute equilibrium of 2D turbulence, circulation statistics depend only on loop area under enstrophy equipartition and only on loop perimeter under energy equipartition, with a proposed perimeter rule for the 2D loop equation.
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Area and Perimeter Rules of Velocity Circulation in Two-Dimensional Turbulence with Large-scale Absolute Equilibrium
In the absolute equilibrium of 2D turbulence, circulation statistics depend only on loop area under enstrophy equipartition and only on loop perimeter under energy equipartition, with a proposed perimeter rule for the 2D loop equation.