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...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
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IOP Publishing
2015-01-01
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Series: | New Journal of Physics |
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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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id | doaj.art-a53324bb6bda4f1a9270ce9dd7caf5a7 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:43:46Z |
publishDate | 2015-01-01 |
publisher | IOP Publishing |
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series | New Journal of Physics |
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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