Ergodicity: a historical perspective. Equilibrium and Nonequilibrium
arXiv:1604.04239 · doi:10.1140/epjh/e2016-70030-8
Abstract
A view on the physical meaning of the so called ergodic hypothesis: its role on the foundations of equilibrium statistical mechanics in mid '800, its interpretations and hints at its relevance for modern nonequilibrium statistical mechanics. Followed by appendices with detailed comments on the original papers.
92 pages; 4 figures v2 changed figure in app D, typos corrected, some characters colors changed, and some rm character changed to slanted. arXiv admin note: substantial text overlap with arXiv:1311.6448
Cited by in corpus (9)
- The 1+1 dimensional Kardar-Parisi-Zhang equation: more surprises
- Nonequilibrium and Fluctuation Relation
- Poncelet property and quasi-periodicity of the integrable Boltzmann system
- Coexisting Ordered States, Local Equilibrium-like Domains, and Broken Ergodicity in a Non-turbulent Rayleigh-Bénard Convection at Steady-state
- Topological Quantum Statistical Mechanics and Topological Quantum Field Theories
- Ergodic theory of diagonal orthogonal covariant quantum channels
- A Theorem on Ellipses, an Integrable System and a Theorem of Boltzmann
- The D-CTC condition is generically fulfilled in classical (non-quantum) statistical systems
- Verification of finite bath fluctuation theorem for a non-ergodic system