Dynamical ensembles equivalence in fluid mechanics

DOI10.1016/S0167-2789(96)00236-9zbMath0962.76539arXivchao-dyn/9605006MaRDI QIDQ1963277

Giovanni Gallavotti

Publication date: 24 January 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9605006

zbMATH Keywords

Navier-Stokes equationschaotic hypothesisdissipative Euler equationsdynamical ensembles

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Statistical turbulence modeling (76F55) Stochastic analysis applied to problems in fluid mechanics (76M35) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (13)

Lyapunov spectra and nonequilibrium ensembles equivalence in 2D fluid mechanics ⋮ Coexistence of chaotic and non-chaotic states in the two-dimensional Gauss--Navier--Stokes dynamics ⋮ Reversibility, irreversibility, friction and nonequilibrium ensembles in N-S equations ⋮ Nonequilibrium and fluctuation relation ⋮ Response formulae forn-point correlations in statistical mechanical systems and application to a problem of coarse graining ⋮ Equivalence of non-equilibrium ensembles and representation of friction in turbulent flows: the Lorenz 96 model ⋮ The steady state fluctuation relation for the dissipation function ⋮ Nonequilibrium in statistical and fluid mechanics. Ensembles and their equivalence. Entropy driven intermittency ⋮ Breakdown and regeneration of time reversal symmetry in nonequilibrium statistical mechanics ⋮ Viscosity, reversibillity, chaotic hypothesis, fluctuation theorem and Lyapunov pairing ⋮ QUANTUM MAPS WITH SPACE EXTENT: A PARADIGM FOR LATTICE QUANTUM WALKS ⋮ Entropy, irreversibility and cascades in the inertial range of isotropic turbulence ⋮ Evolution of dissipative fluid flows with imposed helicity conservation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on turbulence theory
• Positivity of entropy production in nonequilibrium statistical mechanics
• Reversibility, coarse graining and the chaoticity principle
• Ergodicity, ensembles, irreversibility in Boltzmann and beyond.
• Dynamical ensembles in stationary states.
• Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem.
• An example of absence of turbulence for any Reynolds number. II
• Chaotic principle: an experimental test.
• Extension of Onsager's Reciprocity to Large Fields and the Chaotic Hypothesis
• Ergodic theory of chaos and strange attractors
• Differentiable dynamical systems

This page was built for publication: Dynamical ensembles equivalence in fluid mechanics