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.

  • $\begingroup$ 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? $\endgroup$ May 15, 2012 at 23:13
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    $\begingroup$ @kleingordon see arxiv.org/abs/1107.5780 $\endgroup$ May 16, 2012 at 4:35
  • $\begingroup$ 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 ... $\endgroup$
    – Dilaton
    May 16, 2012 at 10:58

1 Answer 1


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 http://arxiv.org/abs/0905.3638, http://arxiv.org/abs/0906.4999, http://arxiv.org/abs/0909.3574. There are also somewhat more handwaving efforts like http://arxiv.org/abs/1005.3254.

  • $\begingroup$ Thanks Thomas, I will study these papers to see if they contain what I need. $\endgroup$
    – Dilaton
    May 18, 2012 at 16:11

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