A statistical mechanics framework for the large-scale structure of turbulent von K{á}rm{á}n flows

Simon Thalabard; Brice Saint-Michel; Éric Herbert; François Daviaud; Bérengère Dubrulle

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arXiv · 1501.01182

A statistical mechanics framework for the large-scale structure of turbulent von K{á}rm{á}n flows

Simon Thalabard·Brice Saint-Michel·Éric Herbert·François Daviaud·Bérengère Dubrulle

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Abstract

In the present paper, recent experimental results on large scale coherent steady states observed in experimental von K{á}rm{á}n 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 K{á}rm{á}n 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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Simon Thalabard, Brice Saint-Michel, Éric Herbert, François Daviaud, Bérengère Dubrulle. 2015-02-06. A statistical mechanics framework for the large-scale structure of turbulent von K{á}rm{á}n flows. https://arxiv.org/abs/1501.01182

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