Using Lagrangian Descriptors to Uncover Invariant Structures in Chesnavich’s Isokinetic Model with Application to Roaming

DOI10.1142/S0218127420500765zbMath1445.37060arXiv1909.05551OpenAlexW2972758697MaRDI QIDQ5114588

Vladimír Krajňák, Gregory S. Ezra, Stephen Wiggins

Publication date: 24 June 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05551

zbMATH Keywords

invariant manifoldsHamiltonian systemphase space structurenonholonomic constraintreaction dynamicsroamingLagrangian descriptors

Mathematics Subject Classification ID

Simulation of dynamical systems (37M05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Computational methods for invariant manifolds of dynamical systems (37M21) Computational methods for attractors of dynamical systems (37M22)

Related Items (3)

Visualizing the phase space of the HeI\(_2\) van der Waals complex using Lagrangian descriptors ⋮ Investigating the stability and accuracy of a classical mapping variable Hamiltonian for nonadiabatic quantum dynamics ⋮ Reactive islands for three degrees-of-freedom Hamiltonian systems

Cites Work

• The phase space geometry underlying roaming reaction dynamics
• Finding NHIM: identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors
• Roaming at constant kinetic energy: Chesnavich's model and the Hamiltonian isokinetic thermostat
• The role of normally hyperbolic invariant manifolds (NHIMS) in the context of the phase space setting for chemical reaction dynamics
• Thermostats: Analysis and application
• Lagrangian Descriptors for Stochastic Differential Equations: A Tool for Revealing the Phase Portrait of Stochastic Dynamical Systems
• A Theoretical Framework for Lagrangian Descriptors
• The geometry of reaction dynamics
• Detection of Periodic Orbits in Hamiltonian Systems Using Lagrangian Descriptors
• The Chesnavich Model for Ion-Molecule Reactions: A Rigid Body Coupled to a Particle
• Tilting and Squeezing: Phase Space Geometry of Hamiltonian Saddle-Node Bifurcation and its Influence on Chemical Reaction Dynamics
• Wigner's dynamical transition state theory in phase space: classical and quantum

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