A statistical mechanics framework for the large-scale structure of a turbulent von K\'arm\'an flow etc15 Tracking Number 160Presentation: Session: Geophysical and astrophysical turbulence 2 Room: Room C Session start: 15:00 Thu 27 Aug 2015 Berengere Dubrulle berengere.dubrulle@cea.fr Affifliation: Laboratoire SPHYNX, Service de Physique de l'\'Etat Condens\'e, DSM, IRAMIS, CEA Saclay, CNRS UMR 3680, 91191 Gif-sur-Yvette, France\ Simon Thalabard simon.thalabard@gmail.com Affifliation: 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 bsaintmichel@gmail.com Affifliation: Laboratoire SPHYNX, Service de Physique de l'\'Etat Condens\'e, DSM, IRAMIS, CEA Saclay, CNRS UMR 3680, 91191 Gif-sur-Yvette, France Francois Daviaud francois.daviaud@cea.fr Affifliation: Laboratoire SPHYNX, Service de Physique de l'\'Etat Condens\'e, DSM, IRAMIS, CEA Saclay, CNRS UMR 3680, 91191 Gif-sur-Yvette, France Eric Herbert eric.herbert@univ-paris-diderot.fr Affifliation: Universite Paris Diderot - LIED - UMR 8236 Laboratoire Interdisciplinaire des Energies de Demain - Paris, France Topics: - Geophysical and astrophysical turbulence, - Instability and transition, - Vortex dynamics and structure formation, - Intermittency and scaling 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. |