A non-equilibrium Ising model of turbulence. (2nd November 2017)

• Record Type: Journal Article
• Authors: Faranda, Davide; Mihelich, Martin; Dubrulle, Bérengère
• Is Part Of: Phase transitions. Volume 90:Number 11(2017)
• Page Start: 1079
• Page End: 1088
• Publication Date: 2017-11-02
• Subjects: Ising model -- turbulence -- non-equlibrium steady states -- phase transition; Phase transformations (Statistical physics) -- Periodicals; 530.47405
• DOI: 10.1080/01411594.2017.1323083
• Languages: English
• ISSNs: 0141-1594

Abstract

ABSTRACT: We introduce a model of interacting lattices at different resolutions driven by the two-dimensional Ising dynamics with a nearest-neighbor interaction. We study this model both with tools borrowed from equilibrium statistical mechanics as well as non-equilibrium thermodynamics. Our findings show that this model keeps the signature of the equilibrium phase transition. The critical temperature of the equilibrium models corresponds to the state maximizing the entropy and delimits two out-of-equilibrium regimes, one satisfying the Onsager relations for systems close to equilibrium and one resembling convective turbulent states. Since the model preserves the entropy and energy fluxes in the scale space, it seems a good candidate for parametric studies of out-of-equilibrium turbulent systems.