15 citations · 39 across the 6 of their papers we have counts for
8 papers · 1 filter
Clebsch Confinement and Instantons in Turbulence
Alexander Migdal
We introduce a concept of Clebsch confinement related to unbroken gauge invariance and study Clebsch instantons: singular vorticity sheets with nontrivial helicity. This is realiza…
Probability Distribution of Velocity Circulation in Three Dimensional Turbulence
Alexander Migdal
We elaborate the statistical field theory of Turbulence suggested in the previous paper \cite{M20a}. We clarify and simplify the basic Energy pumping equation of that theory and st…
Towards Field Theory of Turbulence
Alexander Migdal
We revisit the problem of stationary distribution of vorticity in three-dimensional turbulence. Using Clebsch variables we construct an explicit invariant measure on stationary sol…
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…