Nonequilibrium and irreversibility

Abstract

The booklet contain an overview on selected recent developments in nonequilibrium statistical mechanics and chaos theory: SRB distributions, chaotic hypothesis, fluctuation theorem, proposals for tests and applications to granular materials, fluidodynamics, irreversibility of quasi static processes. In appendices examples of the kind of technical work necessary for actual construction of nonequilibrium stationary states.

XI+247 pages, latex, V.2 with new references and typos eliminated V.3 references added, further typos eliminated, style adjustments

References in corpus (10)

• An Extension of the Fluctuation Theorem
• Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
• A fluidized granular medium as an instance of the Fluctuation Theorem
• Symmetries in Fluctuations Far from Equilibrium
• Fluctuation theorems for harmonic oscillators
• Fluctuations of internal energy flow in a vibrated granular gas
• Entropy, Thermostats and Chaotic Hypothesis
• On the Integrated Form of the BBGKY Hierarchy for Hard Spheres
• A fluctuation theorem in a random environment
• Microscopic chaos and macroscopic entropy in fluids

Cited by in corpus (50)

• Macroscopic fluctuation theory
• Extremes and Recurrence in Dynamical Systems
• Edge States in the Climate System: Exploring Global Instabilities and Critical Transitions
• Fluctuations, Response, and Resonances in a Simple Atmospheric Model
• Statistical and Dynamical Properties of Covariant Lyapunov Vectors in a Coupled Atmosphere-Ocean Model - Multiscale Effects, Geometric Degeneracy, and Error Dynamics
• A New Mathematical Framework for Atmospheric Blocking Events
• A proof of concept for scale-adaptive parameterizations: the case of the Lorenz '96 model
• Asymmetry relations and effective temperatures for biased Brownian gyrators
• Response Operators for Markov Processes in a Finite State Space: Radius of Convergence and Link to the Response Theory for Axiom A Systems
• Applications of large deviation theory in geophysical fluid dynamics and climate science
• Resonances in a Chaotic Attractor Crisis of the Lorenz Flow
• Exploring the Lyapunov instability properties of high-dimensional atmospheric and climate models
• Dynamical Analysis of Blocking Events: Spatial and Temporal Fluctuations of Covariant Lyapunov Vectors
• Ergodicity: a historical perspective. Equilibrium and Nonequilibrium
• Convergence of extreme value statistics in a two-layer quasi-geostrophic atmospheric model
• Covariant Lyapunov Vectors of a Quasi-geostrophic Baroclinic Model: Analysis of Instabilities and Feedbacks
• Spectral fingerprints of non-equilibrium dynamics: The case of a Brownian gyrator
• Nonequilibrium and Fluctuation Relation
• Nonequilibrium oscillations, probability angular momentum, and the climate system
• Response Formulae for $n$-point Correlations in Statistical Mechanical Systems and Application to a Problem of Coarse Graining
• Fluctuations of entropy production in turbulent thermal convection
• Isotropic polarization of compressible flows
• Constrained Reversible system for Navier-Stokes Turbulence: evidence for Gallavotti's equivalence conjecture
• Deterministic model of battery, uphill currents and non-equilibrium phase transitions
• Fluctuation relations for systems in constant magnetic field
• Finite thermostats in classical and quantum nonequilibrium
• Equivalent Ensembles, Turbulence and Fluctuation Theorem
• Probing local equilibrium in nonequilibrium fluids
• Local invariants in non-ideal flows of neutral fluids and two-fluid plasmas
• Non-equilibrium Ensembles for the three-dimensional Navier-Stokes Equations
• Viscosity, Reversibillity, Chaotic Hypothesis, Fluctuation Theorem and Lyapunov Pairing
• Reversible viscosity and Navier--Stokes fluids
• A Theorem on Ellipses, an Integrable System and a Theorem of Boltzmann
• Irreversibility and Chaos in Active Particle Suspensions
• Irreversible Evolution of Open Systems and the Nonequilibrium Statistical Operator Method
• Thermodynamic Formalism in Neuronal Dynamics and Spike Train Statistics
• First part of Clausius heat theorem in terms of Noether's theorem
• Effects of boundary conditions on irreversible dynamics
• Predictors and Predictands of Linear Response in Spatially Extended Systems
• Entropy as Noether charge for quasistatic gradient flow
• Conformal Transformations and Integrable Mechanical Billiards
• Introduction to the Special Issue on the Statistical Mechanics of Climate
• Navier-Stokes equation: irreversibility turbulence and ensembles equivalence
• Projective Dynamics and an Integrable Boltzmann Billiard Model
• Nonextensive thermodynamic functions in the Schrödinger-Gibbs ensemble
• Microscopic and macroscopic perspectives on stationary nonequilibrium states
• Quasi-potentials in the Nonequilibrium Stationary States or a method to get explicit solutions of Hamilton-Jacobi equations
• Non-equilibrium entropy and irreversibility in generalized stochastic Loewner evolution from an information-theoretic perspective
• Structure of the optimal path to a fluctuation
• Biology and nonequilibrium: remarks on a paper by J.L. England