Turbulent flows for relativistic conformal fluids in 2+1 dimensions
arXiv:1210.6702 · doi:10.1103/PhysRevD.86.126006
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.
14 pages, 13 figures. (Added missing reference in v2)