A statistical mechanics framework for the large-scale structure of turbulent von K{\'a}rm{\'a}n flows
Abstract
In the present paper, recent experimental results on large scale coherent steady states observed in experimental von K{\'a}rm{\'a}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{\'a}rm{\'a}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"
Keywords
Cite
@article{arxiv.1501.01182,
title = {A statistical mechanics framework for the large-scale structure of turbulent von K{\'a}rm{\'a}n flows},
author = {Simon Thalabard and Brice Saint-Michel and Éric Herbert and François Daviaud and Bérengère Dubrulle},
journal= {arXiv preprint arXiv:1501.01182},
year = {2015}
}