Scaling relations in two-dimensional relativistic hydrodynamic turbulence

John Ryan Westernacher-Schneider*, Luis Lehner, Yaron Oz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We derive exact scaling relations for two-dimensional relativistic hydrodynamic turbulence in the inertial range of scales. We consider both the energy cascade towards large scales and the enstrophy cascade towards small scales. We illustrate these relations by numerical simulations of turbulent weakly compressible flows. Intriguingly, the fluid-gravity correspondence implies that the gravitational field in black hole/black brane spacetimes with anti-de Sitter asymptotics should exhibit similar scaling relations.

Original languageEnglish
Article number67
Pages (from-to)1-31
Number of pages31
JournalJournal of High Energy Physics
Volume2015
Issue number12
DOIs
StatePublished - 1 Dec 2015

Funding

FundersFunder number
Natural Sciences and Engineering Research Council of Canada

    Keywords

    • AdS-CFT Correspondence
    • Black Holes

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