Holographic Turbulence in a Large Number of Dimensions

Understand

We consider relativistic hydrodynamics in the limit where the number of spatial dimensions is very large.

• We show that under certain restrictions, the resulting equations of motion simplify significantly.
• Holographic theories in a large number of dimensions satisfy the aforementioned restrictions and their dynamics are captured by hydrodynamics with a naturally truncated derivative expansion.
• Using analytic and numerical techniques we analyze two and three-dimensional turbulent flow of such fluids in various regimes and its relation to geometric data.