European Turbulence Conference 2015

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15:00
15 mins

A statistical mechanics framework for the large-scale structure of a turbulent von K\'arm\'an flow
Berengere Dubrulle, Simon Thalabard, Brice Saint-Michel, Francois Daviaud, Eric Herbert

Session: Geophysical and astrophysical turbulence 2
Session starts: Thursday 27 August, 15:00
Presentation starts: 15:00
Room: Room C

Berengere Dubrulle (Laboratoire SPHYNX, Service de Physique de l'\'Etat Condens\'e, DSM, IRAMIS, CEA Saclay, CNRS UMR 3680, 91191 Gif-sur-Yvette, France\)
Simon Thalabard (Laboratoire SPHYNX, Service de Physique de l'\'Etat Condens\'e, DSM, IRAMIS, CEA Saclay, CNRS UMR 3680, 91191 Gif-sur-Yvette, France)
Brice Saint-Michel (Laboratoire SPHYNX, Service de Physique de l'\'Etat Condens\'e, DSM, IRAMIS, CEA Saclay, CNRS UMR 3680, 91191 Gif-sur-Yvette, France)
Francois Daviaud (Laboratoire SPHYNX, Service de Physique de l'\'Etat Condens\'e, DSM, IRAMIS, CEA Saclay, CNRS UMR 3680, 91191 Gif-sur-Yvette, France)
Eric Herbert (Universite Paris Diderot - LIED - UMR 8236 Laboratoire Interdisciplinaire des Energies de Demain - Paris, France)

Abstract:
Recent experimental results on large scale coherent steady states observed in experimental turbulent von K\'arm\'an flows are revisited from a statistical mechanics perspective. We argue that the coherent steady states may be described as the equilibrium states of ad hoc lattice models, that can be used to define global properties of von K\'arm\'an flows, such as their temperatures, their fugacity and so on. 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 Curie-Weiss statistical theory of Ferromagnetism.