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arxiv: 1210.6702 · v2 · pith:6P7OCG4Gnew · submitted 2012-10-24 · ✦ hep-th · gr-qc

Turbulent flows for relativistic conformal fluids in 2+1 dimensions

classification ✦ hep-th gr-qc
keywords behaviourblackconformaldimensionsgravitationallongerrelativisticturbulent
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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.

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    Time-domain evolutions demonstrate that the nonlinear scalar ergoregion instability saturates via a weakly turbulent direct cascade transferring energy to small scales and populating higher-order azimuthal modes on th...