Dynamical foundation and limitations of statistical reaction theory

DOI10.1016/J.CNSNS.2006.08.002zbMath1221.37195OpenAlexW2042478674MaRDI QIDQ718650

Chun-Biu Li, Tamiki Komatsuzaki, Mikito Toda, Akira Shojiguchi

Publication date: 24 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2006.08.002

zbMATH Keywords

Arnold websLie canonical perturbation theory (LCPT)normally hyperbolic invariant manifolds (NHIMs)Rice-Ramsperger-Kessel-Marcus (RRKM) formulatransition states (TSs)

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Dynamical systems in classical and celestial mechanics (37N05) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Related Items (1)

From particles scale to anomalous or classical convection-diffusion models with path integrals

Cites Work

• Geometry and dynamics of stable and unstable cylinders in Hamiltonian systems
• On the geometry of transport in phase space. I. Transport in k-degree-of- freedom Hamiltonian systems, \(2\leq k<\infty\)
• Correlation properties of dynamical chaos in Hamiltonian systems
• Regular and chaotic dynamics.
• The geometry of reaction dynamics
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