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Can a hierarchy of fixed points potentially be used to describe a kinetic energy spectrum which is composed of multiple scale invariant subranges?

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Making use of a nonequilibrium functional renormalization group (Berges and Mesterhazy, 2012) are able to investigate a whole hierarchy of fixed points that explain the successive evolution of a system from a nonequilibrium state to equilibrium. Can such an appoach be applied to investigate the transition between two inertial subranges in atmospheric turbulence too?

I am asking about this, since the illustration of a dual cascade in fugure 1 of the paper

enter image description here

Looks quite similar to the TKE spectra one observes in atmospheric turbulence.

enter image description here

In both cases, the different regimes are associated with with a stationary transport of conserved quanitities.

So, is this similarity I percieve only superficial and misguided, or should it in principle be possible for example to describe the kinks in the Nastrom-Gage spectra by such dual cascades too? And if so, has there already some work on this be done or is under way?

asked Jun 28, 2013 in Theoretical Physics by Dilaton (6,240 points) [ revision history ]
retagged Mar 9, 2014

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