6 papers
The numerical search for the internal dynamics of NHIMs and their pictorial representation
Francisco Gonzalez Montoya, Christof Jung
The topic of this article is the numerical search of codimension 2 Normally Hyperbolic Invariant Manifolds (NHIM) in Hamiltonian systems with 3 degrees of freedom and their interna…
Revealing the phase space structure of Hamiltonian systems using the action
Francisco Gonzalez Montoya, Makrina Agaoglou, Matthaios Katsanikas
In this work, we analyse the properties of the Maupertuis' action as a tool to reveal the phase space structure for Hamiltonian systems. We construct a scalar field with the action…
Transport and roaming on the Double van der Waals Potential Energy Surface
Francisco Gonzalez Montoya, Víctor J. García-Garrido, Broncio Aguilar-Sanjuan +1
This paper explores the phase space structures characterising transport for a double-well van der Waals potential surface. Trajectories are classified as inter-well, intra-well, an…
Phase space structure and escape time dynamics in a Van der Waals model for exothermic reactions
Francisco Gonzalez Montoya, Stephen Wiggins
We study the phase space structures that control the transport in a classical Hamiltonian model for a chemical reaction. This model has been proposed to study the yield of products…
Atom scattering off a vibrating surface: An example of chaotic scattering with three degrees of freedom
Francisco Gonzalez, Florentino Borondo, Christof Jung
In this article, we study the classical chaotic scattering of a He atom off a harmonically vibrating Cu surface. The three degrees of freedom (3- dof) model is studied by first con…
Revealing Roaming on the Double Morse Potential Energy Surface with Lagrangian Descriptors
Francisco Gonzalez Montoya, Stephen Wiggins
In this paper, we analyse the phase space structure of the roaming dynamics in a two degree of freedom potential energy surface consisting of two identical planar Morse potentials…