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

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...

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Main Authors: Simon Thalabard, Brice Saint-Michel, Eric Herbert, François Daviaud, Bérengère Dubrulle
Format: Article
Language:English
Published: IOP Publishing 2015-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/17/6/063006
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author Simon Thalabard
Brice Saint-Michel
Eric Herbert
François Daviaud
Bérengère Dubrulle
author_facet Simon Thalabard
Brice Saint-Michel
Eric Herbert
François Daviaud
Bérengère Dubrulle
author_sort Simon Thalabard
collection DOAJ
description 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, which 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 and their susceptibility to symmetry breaking, in the light of a deep analogy with the statistical theory of ferro-magnetism.
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spelling doaj.art-a53324bb6bda4f1a9270ce9dd7caf5a72023-08-08T14:19:20ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117606300610.1088/1367-2630/17/6/063006A statistical mechanics framework for the large-scale structure of turbulent von Kármán flowsSimon Thalabard0Brice Saint-Michel1Eric Herbert2François Daviaud3Bérengère Dubrulle4Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003, USA.Institut de Recherche sur les Phénomènes Hors Equilibre, Technopôle de Château-Gombert, 49 rue Frédéric Joliot Curie B.P. 146 13 384 Marseille, France.Université Paris Diderot—LIED—UMR 8236 Laboratoire Interdisciplinaire des Energies de Demain—Paris, FranceLaboratoire SPHYNX, Service de Physique de l’État Condensé, DSM/IRAMIS/SPEC, CNRS UMR 3680, CEA Saclay, 91191 Gif-sur-Yvette, FranceLaboratoire SPHYNX, Service de Physique de l’État Condensé, DSM/IRAMIS/SPEC, CNRS UMR 3680, CEA Saclay, 91191 Gif-sur-Yvette, FranceIn 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, which 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 and their susceptibility to symmetry breaking, in the light of a deep analogy with the statistical theory of ferro-magnetism.https://doi.org/10.1088/1367-2630/17/6/063006Von Karmanstatistical mechanicsturbulenceferro-magnetismcoherent structures
spellingShingle Simon Thalabard
Brice Saint-Michel
Eric Herbert
François Daviaud
Bérengère Dubrulle
A statistical mechanics framework for the large-scale structure of turbulent von Kármán flows
New Journal of Physics
Von Karman
statistical mechanics
turbulence
ferro-magnetism
coherent structures
title A statistical mechanics framework for the large-scale structure of turbulent von Kármán flows
title_full A statistical mechanics framework for the large-scale structure of turbulent von Kármán flows
title_fullStr A statistical mechanics framework for the large-scale structure of turbulent von Kármán flows
title_full_unstemmed A statistical mechanics framework for the large-scale structure of turbulent von Kármán flows
title_short A statistical mechanics framework for the large-scale structure of turbulent von Kármán flows
title_sort statistical mechanics framework for the large scale structure of turbulent von karman flows
topic Von Karman
statistical mechanics
turbulence
ferro-magnetism
coherent structures
url https://doi.org/10.1088/1367-2630/17/6/063006
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