TY - JOUR
T1 - Scaling relations in two-dimensional relativistic hydrodynamic turbulence
AU - Westernacher-Schneider, John Ryan
AU - Lehner, Luis
AU - Oz, Yaron
N1 - Publisher Copyright:
© 2015, The Author(s).
PY - 2015/12/1
Y1 - 2015/12/1
N2 - 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.
AB - 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.
KW - AdS-CFT Correspondence
KW - Black Holes
UR - http://www.scopus.com/inward/record.url?scp=84949752726&partnerID=8YFLogxK
U2 - 10.1007/JHEP12(2015)067
DO - 10.1007/JHEP12(2015)067
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AN - SCOPUS:84949752726
SN - 1126-6708
VL - 2015
SP - 1
EP - 31
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 12
M1 - 67
ER -