3-D Perturbations in Conformal Turbulence

TL;DR

This paper explores how three-dimensional perturbations influence two-dimensional turbulence using conformal field theory, calculating energy spectrum scaling exponents and comparing them with experimental data.

Contribution

It introduces a novel conformal field theory approach to analyze 3D perturbations in 2D turbulence and extends the understanding of turbulence scaling laws.

Findings

Computed energy spectrum scaling exponents in strong coupling limit

Compared theoretical exponents with recent experimental results

Linked small-scale forces to deviations in 2D fluid motion

Abstract

The effects of three-dimensional perturbations in two-dimensional turbulence are investigated, through a conformal field theory approach. We compute scaling exponents for the energy spectra of enstrophy and energy cascades, in a strong coupling limit, and compare them to the values found in recent experiments. The extension of unperturbed conformal turbulence to the present situation is performed by means of a simple physical picture in which the existence of small scale random forces is closely related to deviations of the exact two-dimensional fluid motion.