Turbulent flows for relativistic conformal fluids in 2+1 dimensions

TL;DR

This paper shows that relativistic conformal fluids in 2+1 dimensions exhibit turbulence with energy cascading to larger scales, which has implications for gravitational solutions via the AdS/CFT correspondence.

Contribution

It demonstrates turbulent behaviour in relativistic conformal hydrodynamics in 2+1 dimensions and explores its implications for gravitational perturbations.

Findings

Energy cascades to longer wavelengths in turbulent relativistic fluids.

Implications for gravitational perturbations of black branes/hole spacetimes.

Behavior observed on both flat and spherical manifolds.

Abstract

We demonstrate that relativistic conformal hydrodynamics in 2+1 dimensions displays a turbulent behaviour which cascades energy to longer wavelengths on both flat and spherical manifolds. Our motivation for this study is to understand the implications for gravitational solutions through the AdS/CFT correspondence. The observed behaviour implies gravitational perturbations of the corresponding black brane/black hole spacetimes (for sufficiently large scales/temperatures) will display a similar cascade towards longer wavelengths.