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Holographic Turbulence in Einstein-Gauss-Bonnet Gravity at Large
We study the holographic hydrodynamics in the Einstein-Gauss-Bonnet(EGB)
gravity in the framework of the large expansion. We find that the large
EGB equations can be interpreted as the hydrodynamic equations describing the
conformal fluid. These fluid equations are truncated at the second order of the
derivative expansion, similar to the Einstein gravity at large . From the
analysis of the fluid flows, we find that the fluid equations can be taken as a
variant of the compressible version of the non-relativistic Navier-Stokes
equations. Particularly, in the limit of small Mach number, these equations
could be cast into the form of the incompressible Navier-Stokes equations with
redefined Reynolds number and Mach number. By using numerical simulation, we
find that the EGB holographic turbulence shares similar qualitative feature as
the turbulence from the Einstein gravity, despite the presence of two extra
terms in the equations of motion. We analyze the effect of the GB term on the
holographic turbulence in detail.Comment: 30 pages, 11 figure
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