Is 2d Turbulence a Conformal Turbulence?

TL;DR

This paper critically examines the application of conformal field theory to 2D turbulence, arguing that minimal models do not adequately describe the universal turbulent solutions with constant fluxes.

Contribution

It demonstrates that conformal minimal models are insufficient for modeling 2D turbulence with constant fluxes, challenging previous theoretical approaches.

Findings

Conformal minimal models cannot produce general turbulent solutions.

These models fail to account for constant fluxes of vorticity integrals.

The analysis questions the applicability of conformal approaches to 2D turbulence.

Abstract

A critical analysis of the conformal approach to the theory of 2d turbulence is delivered. It is shown, in particular, that conformal minimal models cannot give a general turbulent solution, which should provide for constant fluxes of all vorticity integrals of motion.