124 citations · 481 across the 26 of their papers we have counts for
5 papers · 1 filter
Turbulence, String Theory and Ising Model
Alexander Migdal
We advance the vortex cell approach to turbulence \cite{TSVS} by elaborating the Clebsch field dynamics on the surface of vortex cells. We argue that resulting statistical system c…
Analytic and Numerical Study of Navier-Stokes Loop Equation in Turbulence
Alexander Migdal
We developed analytic approach to the non-planar loop equation, which we derived in previous papers \cite{M19a},\cite{M19b},\cite{M19c}. We found quadratic integral equation for th…
Scaling Index In Turbulent Area Law
Alexander Migdal
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 represen…
Exact Area Law for Planar Loops in Turbulence in Two and Three Dimensions
Alexander Migdal
We study properties of the minimal surface in the Area Law Solution \cite{M93}, \cite{M19a}, \cite{M19b}. We find out that Area Law holds exactly for 2D turbulence as well as for a…
Universal Area Law in Turbulence
Alexander Migdal
We re-visit the Area Law in Turbulence discovered many years ago \cite{M93} and verified recently in numerical experiments\cite{S19}. We derive this law in a simpler way, at the sa…