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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.


To clarify what I mean, relevant papers for the topic are for example here, here, and jep this one linked to by Mitchell.

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Perhaps I am not familiar enough with the topic, but what do you mean by "correspondence?" Are you asking about the phenomenology of turbulence in a fluid when a gravitational field is present (convection?), or about something else? – kleingordon May 15 '12 at 23:13
@kleingordon see – Mitchell Porter May 16 '12 at 4:35
Ive once seen the slides of a talk by Johanna Erdmenger, where she derived a turbulence coefficent, but I cant find it now and Id like to have a citable paper about this ... – Dilaton May 16 '12 at 10:58
up vote 3 down vote accepted

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,, There are also somewhat more handwaving efforts like

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Thanks Thomas, I will study these papers to see if they contain what I need. – Dilaton May 18 '12 at 16:11

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