Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem.
From MaRDI portal
Publication:1593466
DOI10.1007/BF02174123zbMath1081.82581arXivchao-dyn/9506006OpenAlexW3101065226MaRDI QIDQ1593466
Publication date: 16 January 2001
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/chao-dyn/9506006
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Foundations of time-dependent statistical mechanics (82C03) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)
Related Items
Response operators for Markov processes in a finite state space: radius of convergence and link to the response theory for axiom A systems, Nonequilibrium linear response for Markov dynamics. I: Jump processes and overdamped diffusions, Parametric smoothness and self-scaling of the statistical properties of a minimal climate model: what beyond the mean field theories?, SRB entropy of Markov transformations, Multi-level dynamical systems: connecting the Ruelle response theory and the Mori-Zwanzig approach, From dynamical systems to statistical mechanics: the case of the fluctuation theorem, THEORY OF TRANSPORT PROCESSES AND THE METHOD OF THE NONEQUILIBRIUM STATISTICAL OPERATOR, Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos, Nonequilibrium and fluctuation relation, Simulations of transport in hard particle systems, Recursive divergence formulas for perturbing unstable transfer operators and physical measures, Backpropagation in hyperbolic chaos via adjoint shadowing, Response formulae forn-point correlations in statistical mechanical systems and application to a problem of coarse graining, Entropy, thermostats, and chaotic hypothesis, Chaotic principle: an experimental test., Dynamical ensembles equivalence in fluid mechanics, General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium, Response theory for equilibrium and non-equilibrium statistical mechanics: Causality and generalized Kramers-Kronig relations, On the susceptibility function of piecewise expanding interval maps, Note on phase space contraction and entropy production in thermostatted Hamiltonian systems, Entropy production and thermodynamics of nonequilibrium stationary states: A point of view, QUANTUM MACROSTATISTICAL THEORY OF NONEQUILIBRIUM STEADY STATES, On the definition of entropy production, via examples, Numerical aspects of applying the fluctuation dissipation theorem to study climate system sensitivity to external forcings, Approximating Linear Response by Nonintrusive Shadowing Algorithms, Chaos, spatial extension, transport, and nonequilibrium thermodynamics, Quantum macrostatistical picture of nonequilibrium steady states, Chaotic hypothesis, fluctuation theorem and singularities, Time reversibility in nonequilibrium thermomechanics, Breakdown and regeneration of time reversal symmetry in nonequilibrium statistical mechanics, Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems, Linear response in neuronal networks: From neurons dynamics to collective response, Thermostats, chaos and Onsager reciprocity, Positivity of entropy production in nonequilibrium statistical mechanics, Chaotic principle: Some applications to developed turbulence, Non-equilibrium steady states: fluctuations and large deviations of the density and of the current, On Thermostats: Isokinetic or Hamiltonian? Finite or infinite?, Extension of Onsager's Reciprocity to Large Fields and the Chaotic Hypothesis, Probabilistic and thermodynamic aspects of dynamical systems, Entropy balance, time reversibility, and mass transport in dynamical systems, Bayes posterior convergence for loss functions via almost additive thermodynamic formalism
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Field-dependent conductivity and diffusion in a two-dimensional Lorentz gas
- Stationary nonequilibrium states in boundary-driven Hamiltonian systems: Shear flow
- Reversibility, coarse graining and the chaoticity principle
- Ergodicity, ensembles, irreversibility in Boltzmann and beyond.
- Dynamical ensembles in stationary states.
- Hydrodynamics and fluctuations outside of local equilibrium: driven diffusive systems.
- Steady-state electrical conduction in the periodic Lorentz gas
- Probability of second law violations in shearing steady states
- Distribution of characteristic exponents in the thermodynamic limit
- A Measure Associated with Axiom-A Attractors
- Reciprocal Relations in Irreversible Processes. II.
- DIFFUSIVE LIMIT OF ASYMMETRIC SIMPLE EXCLUSION
- Differentiable dynamical systems
- GIBBS MEASURES IN ERGODIC THEORY
- Non-equilibrium thermodynamics and liquid helium II
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
