Entropy, irreversibility and cascades in the inertial range of isotropic turbulence

This paper analyses the turbulent energy cascade from perspective of statistical mechanics, and relates interscale fluxes to irreversibility information entropy production. The microscopical reversibility is tested by constructing a reversible three-dimensional system using dynamic model for sub-grid stresses. system, when reversed in time, develops sustained inverse towards large scales, evidencing that characterisation inertial must consider possibility an regime. experiment used study origin prevalence direct over cascades isotropic turbulence. Statistical irreversibility, property ensembles phase space related production, connected dynamics physical considering locality their relation local structure flow. A mechanism explain probabilistic transfer proposed based on rate-of-strain tensor, which identified as most important source cascade.