Area Law and Circulation Statistics

Overview

This page reviews recent work on velocity circulation statistics in hydrodynamic turbulence, with connections to the Loop Equation and Area Law in Turbulence (Migdal, 1995).

Key Research Works

• Alexander Migdal: "Loop Equation and Area Law in Turbulence" [Link]
• Kartik P. Iyer, Katepalli R. Sreenivasan, P. K. Yeung: "Circulation in High Reynolds Number Isotropic Turbulence is a Bifractal" [Link]
• Alexander Migdal: "Statistical Equilibrium of Circulating Fluids" [Link]
• Gabriel Apolinario, Luca Moriconi, Rodrigo Pereira, Victor Valadão: "Vortex Gas Modeling of Turbulent Circulation Statistics" [Link]

References

1. Alexander Migdal, "Loop Equation and Area Law in Turbulence," in *Quantum Field Theory and String Theory*, Springer US, 1995. [Link]
2. Kartik P. Iyer, Katepalli R. Sreenivasan, P. K. Yeung, "Circulation in High Reynolds Number Isotropic Turbulence is a Bifractal," *Phys. Rev. X*, vol. 9, no. 4, p. 041006, 2019. [Link]
3. Alexander Migdal, "Statistical Equilibrium of Circulating Fluids," *Physics Reports*, vol. 1011C, pp. 1-117, 2023. [Link]
4. Gabriel Apolinario, Luca Moriconi, Rodrigo Pereira, Victor Valadão, "Vortex Gas Modeling of Turbulent Circulation Statistics," *Physical Review E*, vol. 102, p. 041102, 2020. [Link]