Ergodicity, ensembles, irreversibility in Boltzmann and beyond
arXiv:chao-dyn/9403004 · doi:10.1007/BF02180143
Abstract
The implications of the original misunderstanding of the etymology of the word "ergodic" are discussed, and the contents of a not too well known paper by Boltzmann are critically examined. The connection with the modern theory of Ruelle is attempted
11 pages; e-mail [email protected]
References in corpus (1)
Cited by in corpus (30)
- Dynamical ensembles in stationary states
- Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem
- Entropy production in nonequilibrium thermodynamics: a review
- Dynamical ensembles equivalence in fluid mechanics
- Note on Phase Space Contraction and Entropy Production in Thermostatted Hamiltonian Systems
- Theory of Transport Processes and the Method of the Nonequilibrium Statistical Operator
- Asymmetry relations and effective temperatures for biased Brownian gyrators
- Equivalence of dynamical ensembles and Navier Stokes equations
- Fluctuations in 2D reversibly-damped turbulence
- Constraints induced delocalization
- Ergodicity: a historical perspective. Equilibrium and Nonequilibrium
- On the relaxation to nonequilibrium steady states
- Boltzmann entropy and chaos in a large assembly of weakly interacting systems
- Heat and Fluctuations from Order to Chaos
- Is it possible to experimentally verify the fluctuation relation? A review of theoretical motivations and numerical evidence
- Catching thermal avalanches in the disordered XXZ model
- Ergodicity in randomly perturbed quantum systems
- Fluctuation relation, fluctuation theorem, thermostats and entropy creation in non equilibrium statistical Physics
- The kinetic exclusion process: a tale of two fields
- Ergodic observables in non-ergodic systems: the example of the harmonic chain
- Fluctuation relations for systems in constant magnetic field
- Insights into the Second Law of Thermodynamics from Anisotropic Gas-Surface Interactions
- On Thermostats: Isokinetic or Hamiltonian? finite or infinite?
- Probing local equilibrium in nonequilibrium fluids
- Chaotic principle: some applications to developed turbulence
- Fluctuation Theorem and Chaos
- Fluctuation relations for dissipative systems in constant external magnetic field: theory and molecular dynamics simulations
- Reaction-Path Statistical Mechanics of Enzymatic Kinetics
- Einstein's Approach to Statistical Mechanics: The 1902-04 Papers
- The world beyond physics: how big is it?