I`m looking for a nice introductary reference that explains how the turbulence c

Question

I`m looking for a nice introductary reference that explains how the turbulence coefficient or any kind of turbulence parameterization (in view of applications to atmospheric turbulence for example) can be derived from the gravity - fluid dynamics correspondance, such that even I can get it. I mean, if something like this exists ...

I`m basically quite familiar with the hydrodynamic part (NS equation, etc) of this correspondance whereas about the other side I feel a bit more shaky ...

I`m finally looking for a citable reference, but any "reasonable" source (slides of a talk, video, ect) that explains how a turbulenc coefficient / parameterization can be obtained would be welcome and appreciated.

Explanation / Answer

I assume you mean the critical exponents of the velocity correlation functions? First of all, I don't think they have been derived using fluid/gravity (this is a very difficult problem), at best the problem was mapped onto a different problem. There was a series of papers by Oz and others about incompressible (and compressible) Navier-Stokes some years ago, see for example arxiv.org/abs/0905.3638, arxiv.org/abs/0906.4999, arxiv.org/abs/0909.3574. There are also somewhat more handwaving efforts like arxiv.org/abs/1005.3254.

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