Holographic Turbulence
Name
Adams-2014-Holographic turbulence.pdf
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449.4 KB
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Checksum (MD5)
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Author(s)
Adams, Allan
Chesler, Paul Michael
Liu, Hong
Date Issued
April 2014
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Adams, Allan, Paul M. Chesler, and Hong Liu. “Holographic Turbulence.” Physical Review Letters 112, no. 15 (April 2014). © 2014 American Physical Society.
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevLett.112.151602
