Turbulent flows for relativistic conformal fluids in2+1dimensions

Federico Carrasco, Luis Lehner, Robert C. Myers, Oscar Reula, Ajay Singh
2012 Physical Review D  
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.
doi:10.1103/physrevd.86.126006 fatcat:cl6vaaxcgrgnhlflwxdozojjre