Using Lagrangian descriptors to uncover invariant structures in Chesnavich's Isokinetic Model with application to roaming

Abstract

Complementary to existing applications of Lagrangian descriptors as an exploratory method, we use Lagrangian descriptors to find invariant manifolds in a system where some invariant structures have already been identified. In this case we use the parametrisation of a periodic orbit to construct a Lagrangian descriptor that will be locally minimised on its invariant manifolds. The procedure is applicable (but not limited) to systems with highly unstable periodic orbits, such as the isokinetic Chesnavich CH4+ model subject to a Hamiltonian isokinetic theromostat. Aside from its low computational requirements, the method enables us to study the invariant structures responsible for roaming in the isokinetic Chesnavich CH4+ model.

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Cited by in corpus (5)

• Visualizing the Phase Space of the HeI_2 van der Waals Complex using Lagrangian Descriptors
• Reactive Islands for Three Degrees-of-Freedom Hamiltonian Systems
• Improved detection of chaos with Lagrangian descriptors using differential algebra
• Using Lagrangian descriptors to calculate the Maslov index of periodic orbits
• Roaming in acetaldehyde