Poincaré Cycles, Ergodicity, and Irreversibility in Assemblies of Coupled Harmonic Oscillators

DOI10.1063/1.1703637zbMath0093.22102OpenAlexW2028570329MaRDI QIDQ3269852

E. W. Montroll, Peter Mazur

Publication date: 1960

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1703637

zbMATH Keywords

mechanics of particles and systems

Related Items (19)

Stochastic differential equations in quantum statistical mechanics. Observables and multiple Wiener integrals ⋮ Thermalization without chaos in harmonic systems ⋮ Statistical Mechanics of Assemblies of Coupled Oscillators ⋮ Dynamics of a Simple Many-Body System of Hard Rods ⋮ Poincaré cycles and ergodic behavior of a linear diatomic chain ⋮ Ergodic observables in non-ergodic systems: the example of the harmonic chain ⋮ Thermalization of local observables in the \(\alpha \)-FPUT chain ⋮ Role of Chaos for the Validity of Statistical Mechanics Laws: Diffusion and Conduction ⋮ Equipartition of Energy for Nonlinear Systems ⋮ Brownian motion and diffusion: From stochastic processes to chaos and beyond ⋮ Fundamental aspects of quantum Brownian motion ⋮ BOLTZMANN'S ERGODIC HYPOTHESIS: A MEETING PLACE FOR TWO CULTURES ⋮ Evaluation of Certain Sums Arising in Chemical Physics ⋮ Correlation functions for a chain of short range oscillators ⋮ Predictability: a way to characterize complexity ⋮ Unnamed Item ⋮ Tagged particle diffusion in one-dimensional systems with Hamiltonian dynamics-II ⋮ The distribution of values of trigonometric sums with linearly independent frequencies: Kac's problem revisited ⋮ Higher-Dimensional Periodic Systems

Cites Work

• Korrelationstheorie der stationären stochastischen Prozesse
• Sur la mécanique statistique des phénomènes irréversibles IV
• Statistical-Mechanical Theory of Transport in Fluids
• Mean Motion
• The Occurrence of Singularities in the Elastic Frequency Distribution of a Crystal
• Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles
• On the Distribution of Values of Trigonometric Sums with Linearly Independent Frequencies
• Stochastic Problems in Physics and Astronomy
• On Quantum Theory of Transport Phenomena

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