Roaming at constant kinetic energy: Chesnavich's model and the Hamiltonian isokinetic thermostat

DOI10.1134/S1560354719060030zbMath1436.37075arXiv1910.06801OpenAlexW2995045773WikidataQ126585576 ScholiaQ126585576MaRDI QIDQ2297602

Stephen Wiggins, Gregory S. Ezra, Vladimír Krajňák

Publication date: 20 February 2020

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06801

zbMATH Keywords

invariant manifoldschemical reactionphase space structuresnonholonomic constraintroaming

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nonholonomic dynamical systems (37J60) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (5)

Lagrangian descriptors and the action integral of classical mechanics ⋮ Using Lagrangian Descriptors to Uncover Invariant Structures in Chesnavich’s Isokinetic Model with Application to Roaming ⋮ Transport and roaming on the double van der Waals potential energy surface ⋮ On ergodicity for multidimensional harmonic oscillator systems with Nosé-Hoover-type thermostat ⋮ Bifurcation study on a degenerate double van der Waals cirque potential energy surface using Lagrangian descriptors

Cites Work

• The phase space geometry underlying roaming reaction dynamics
• Lagrangian descriptors for two dimensional, area preserving, autonomous and nonautonomous maps
• The role of normally hyperbolic invariant manifolds (NHIMS) in the context of the phase space setting for chemical reaction dynamics
• Thermostats: Analysis and application
• The geometry of reaction dynamics
• Impenetrable barriers in phase space for deterministic thermostats
• The Chesnavich Model for Ion-Molecule Reactions: A Rigid Body Coupled to a Particle
• Wigner's dynamical transition state theory in phase space: classical and quantum
• Unnamed Item

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