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

Simon Thalabard 1, * Brice Saint-Michel 2 Eric Herbert 3 François Daviaud 4 Bérengère Dubrulle 4
* Corresponding author
1 UMass Amherst - University of Massachusetts [Amherst]
2 IRPHE - Institut de Recherche sur les Phénomènes Hors Equilibre
3 UPD7 - Université Paris Diderot - Paris 7
4 SPEC - UMR3680 - Service de physique de l'état condensé
Abstract : In the present paper, recent experimental results on large-scale coherent steady states observed in experimental von Karman 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, which can be used to define global properties of von Karman 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 and their susceptibility to symmetry breaking, in the light of a deep analogy with the statistical theory of ferro-magnetism.
Keywords : Von Karman statistical mechanics turbulence ferro-magnetism coherent structures
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Journal articles
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https://hal-cea.archives-ouvertes.fr/cea-01233385
Contributor : Marianne Leriche <>
Submitted on : Wednesday, November 25, 2015 - 9:30:46 AM
Last modification on : Monday, February 10, 2020 - 6:12:21 PM

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Simon Thalabard, Brice Saint-Michel, Eric Herbert, François Daviaud, Bérengère Dubrulle. A statistical mechanics framework for the large-scale structure of turbulent von Karman flows. New Journal of Physics, Institute of Physics: Open Access Journals, 2015, 17, pp.63006. ⟨10.1088/1367-2630/17/6/063006⟩. ⟨cea-01233385⟩

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