Entropy, Thermostats and Chaotic Hypothesis

Abstract

The chaotic hypothesis is proposed as a basis for a general theory of nonequilibrium stationary states. Version 2: new comments added after presenting this talk at the Meeting mentioned in the Acknowledgement. One typo corrected.

6 pages

References in corpus (14)

• A nonequilibrium equality for free energy differences
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Non-Equilibrium Statistical Mechanics of Anharmonic Chains Coupled to Two Heat Baths at Different Temperatures
• Chaotic hypothesis: Extension of Onsager reciprocity to large fields and the chaotic hypothesis
• Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem
• Note on Two Theorems in Nonequilibrium Statistical Mechanics
• Chaotic Hypothesis, Fluctuation Theorem and singularities
• Chaotic principle: an experimental test
• Chaotic dynamics, fluctuations, nonequilibrium ensembles
• SRB states and nonequilibrium statistical mechanics close to equilibrium
• Reversibility, coarse graining and the chaoticity principle
• Thermodynamic entropy production fluctuation in a two dimensional shear flow model
• Non equilibrium in statistical and fluid mechanics. Ensembles and their equivalence. Entropy driven intermittency
• Irreversibility time scale

Cited by in corpus (19)

• Nonequilibrium and irreversibility
• Covariant Lyapunov vectors
• Convergence of the least squares shadowing method for computing derivative of ergodic averages
• Theory of Transport Processes and the Method of the Nonequilibrium Statistical Operator
• Hyperbolicity, shadowing directions and sensitivity analysis of a turbulent three-dimensional flow
• Stability, sensitivity and optimisation of chaotic acoustic oscillations
• Heat and Fluctuations from Order to Chaos
• Nonequilibrium steady state thermodynamics and fluctuations for stochastic systems
• Nonequilibrium, thermostats and thermodynamic limit
• On Thermostats: Isokinetic or Hamiltonian? finite or infinite?
• Fluctuation Theorem and Chaos
• Non-equilibrium Ensembles for the three-dimensional Navier-Stokes Equations
• A minimal phase-coupling model for intermittency in turbulent systems
• Thermodynamic limit of Isoenergetic and Hamiltonian Thermostats
• Kneading the Lorenz attractor
• Maximum entropy generation in open systems: the Fourth Law?
• Irreversibility and maximum generation in $\kappa$-generalized statistical mechanics
• The thermodynamic hamiltonian for open systems
• Paths and stochastic order in open systems