Equivalence of dynamical ensembles and Navier-Stokes equations.

DOI10.1016/S0375-9601(96)00729-3zbMath1037.76508arXivchao-dyn/9604006OpenAlexW2013690367MaRDI QIDQ1968046

Giovanni Gallavotti

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9604006

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Stochastic analysis applied to problems in fluid mechanics (76M35) Navier-Stokes equations (35Q30)

Related Items (12)

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 ⋮ Frenesy: time-symmetric dynamical activity in nonequilibria ⋮ Reversibility, irreversibility, friction and nonequilibrium ensembles in N-S equations ⋮ Nonequilibrium and fluctuation relation ⋮ Unnamed Item ⋮ Breakdown and regeneration of time reversal symmetry in nonequilibrium statistical mechanics ⋮ Energy fluxes in quasi-equilibrium flows ⋮ Viscosity, reversibillity, chaotic hypothesis, fluctuation theorem and Lyapunov pairing ⋮ Notes about the macroscopic fluctuating theory ⋮ Evolution of dissipative fluid flows with imposed helicity conservation ⋮ Chaotic dynamics, fluctuations, nonequilibrium ensembles

Cites Work

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• Positivity of entropy production in nonequilibrium statistical mechanics
• Dynamical ensembles in stationary states.
• Probability of second law violations in shearing steady states
• Time evolution of large classical systems
• Extension of Onsager's Reciprocity to Large Fields and the Chaotic Hypothesis
• Ergodic theory of chaos and strange attractors
• On the mechanical equilibrium equations for classical systems

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