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


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
Issue number12
StatePublished - 1 Dec 2015


  • AdS-CFT Correspondence
  • Black Holes


Dive into the research topics of 'Scaling relations in two-dimensional relativistic hydrodynamic turbulence'. Together they form a unique fingerprint.

Cite this