Holographic Turbulence
We construct turbulent black holes in asymptotically AdS[subscript 4] 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 appr...
Main Authors: | , , |
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Other Authors: | |
Format: | Article |
Language: | en_US |
Published: |
American Physical Society
2014
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Online Access: | http://hdl.handle.net/1721.1/88966 https://orcid.org/0000-0003-0421-4818 https://orcid.org/0000-0002-4911-3183 |
Summary: | We construct turbulent black holes in asymptotically AdS[subscript 4] 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. |
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