Non equilibrium in statistical and fluid mechanics. Ensembles and their equivalence. Entropy driven intermittency

Abstract

We present a review of the chaotic hypothesis and discuss its applications to intermittency in statistical mechanics and fluid mechanics proposing a quantitative definition. Entropy creation rate is interpreted in terms of certain intermittency phenomena. An attempt to a theory of the experiment of Ciliberto-Laroche on the fluctuation law is presented.

22 pages

References in corpus (3)

• Note on Two Theorems in Nonequilibrium Statistical Mechanics
• A remark on the equivalence of isokinetic and isoenergetic thermostats in the thermodynamic limit
• An experimental test of the local fluctuation theorem in chains of weakly interacting Anosov systems

Cited by in corpus (8)

• Equivalence of Non-Equilibrium Ensembles and Representation of Friction in Turbulent Flows: The Lorenz 96 Model
• Entropy, Thermostats and Chaotic Hypothesis
• Entropic Fluctuations in Statistical Mechanics I. Classical Dynamical Systems
• Theory of Transport Processes and the Method of the Nonequilibrium Statistical Operator
• Is it possible to experimentally verify the fluctuation relation? A review of theoretical motivations and numerical evidence
• Chaos, ergodicity, and the thermodynamics of lower-dimensional Hamiltonian systems
• Nonequilibrium and Fluctuation Relation
• A minimal phase-coupling model for intermittency in turbulent systems