The average Riemann curvature of conservative systems in classical mechanics

DOI10.1088/0305-4470/14/7/018zbMath0481.70016OpenAlexW1988552189WikidataQ125911512 ScholiaQ125911512MaRDI QIDQ3939296

J. E. C. van Velsen

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1088/0305-4470/14/7/018

zbMATH Keywords

integrabilityergodicitymixing propertyDebye-Hueckel and Lennard- Jones systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Classical equilibrium statistical mechanics (general) (82B05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of local differential geometry to the sciences (53B50) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Ergodic theory (37A99) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (1)

Numerical study on the incompressible Euler equations as a Hamiltonian system: Sectional curvature and Jacobi field

Cites Work

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