2-Dimensional Turbulence: yet another Conformal Field Theory Solution

TL;DR

This paper proposes a novel conformal field theory framework for 2D turbulence, leveraging rational logarithmic CFTs to address limitations of previous models and naturally incorporate magneto-hydrodynamic effects.

Contribution

It introduces a new CFT-based model for 2D turbulence that overcomes prior issues and includes magneto-hydrodynamic phenomena.

Findings

Provides a consistent CFT description of 2D turbulence

Automatically incorporates magneto-hydrodynamic turbulence

Addresses drawbacks of earlier minimal model approaches

Abstract

A new conformal field theory description of two-dimensional turbulence is proposed. The recently established class of rational logarithmic conformal field theories provides a unique candidate solution which resolves many of the drawbacks of former approaches via minimal models. This new model automatically includes magneto-hydrodynamic turbulence and the Alf'ven effect.