Holographic turbulence.
We construct turbulent black holes in asymptotically AdS4 spacetime by numerically solving Einstein's equations. Using the AdS/CFT correspondence we find that both the dual holographic fluid and bulk geometry display signatures of an inverse cascade with the bulk geometry being well approximated by the fluid-gravity gradient expansion. We argue that statistically steady-state black holes dual to d dimensional turbulent flows have horizons whose area growth has a fractal-like structure with fractal dimension D=d+4/3.
Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Allan
A
Adams
Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Paul M
PM
Chesler
Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Hong
H
Liu