Description
The fluid/gravity correspondence, the duality between the dynamics of black holes in Anti-de Sitter
space and fluid behaviour of field theories, may be used to geometrize turbulent flow and translate statistical
properties of turbulent fluids into geometric observables. Likewise turbulent solutions to Navier-Stokes equations
can be obtained from black hole dynamics. We study the fluid phase of conformal matter driven by a randomly
fluctuating gravitational potential, by numerically solving the evolution of a black hole in Anti-de Sitter space with a
fluctuating, stochastic boundary metric. We discuss subtleties regarding the fluid's compressibility and the
non-relativistic limit in this set up, and identify observables in the dual gravity theory which correspond to
correlators of the fluid velocity and their higher moments with the goal to translate anomalous scaling exponents
into geometry.
