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Pré-Publication, Document De Travail Année : 2014

A statistical mechanics framework for the large-scale structure of turbulent von Kármán flows

Résumé

In the present paper, recent experimental results on large scale coherent steady states observed in experimental von Kármán flows are revisited from a statistical mechanics perspective. The latter is rooted on two levels of description. We first argue that the coherent steady states may be described as the equilibrium states of well-chosen lattice models, that can be used to define global properties of von Kármán flows, such as their temperatures. The equilibrium description is then enlarged, in order to reinterpret a series of results about the stability of those steady states, their susceptibility to symmetry breaking, in the light of a deep analogy with the statistical theory of Ferromagnetism. We call this analogy ''Ferro-Turbulence''
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Dates et versions

hal-01071249 , version 1 (07-10-2014)
hal-01071249 , version 2 (06-02-2015)

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Simon Thalabard, Brice Saint-Michel, Éric Herbert, François Daviaud, Bérengère Dubrulle. A statistical mechanics framework for the large-scale structure of turbulent von Kármán flows. 2014. ⟨hal-01071249v2⟩
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