Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Francisco Gonzalez Montoya"'
Autor:
Francisco Gonzalez Montoya
Publikováno v:
Dynamics, Vol 3, Iss 4, Pp 678-694 (2023)
In this paper, we analyse the classical action as a tool to reveal the phase space structure of Hamiltonian systems simply and intuitively. We construct a scalar field using the values of the action along the trajectories to analyse the phase space.
Externí odkaz:
https://doaj.org/article/4ed1e6f8fc1d4505a3e5dcc27dd50df9
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 internal dynamics. We point out relations between different strategies to fin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c020e43f0d4b281e9e7acd6df3ca89a5
http://arxiv.org/abs/2203.10688
http://arxiv.org/abs/2203.10688
Publikováno v:
Physical review. E. 102(6-1)
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 in an ultracold exothermic reaction. In the considered model, two ele
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d1c4e8b3c76bdc04031f5d90e2ef1c9e
https://pubmed.ncbi.nlm.nih.gov/33465985
https://pubmed.ncbi.nlm.nih.gov/33465985
Autor:
Víctor J. García-Garrido, Broncio Aguilar-Sanjuan, Francisco Gonzalez Montoya, Stephen Wiggins
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, and escaping-from-a-well to define different dynamical fates. In particu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef9623ccd5675315ad69e400fb2fdb05
Autor:
Stephen Wiggins, Matthaios Katsanikas, Broncio Aguilar Sanjuan, Francisco Gonzalez Montoya, Víctor J. García-Garrido
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 105:106089
In this paper, we explore the dynamics of a Hamiltonian system after a double van der Waals potential energy surface degenerates into a single well. The energy of the system is increased from the bottom of the potential well up to the dissociation en
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a4cd7b8cae9f5518d6c5a4e2e1a703b
https://doi.org/10.1016/j.cnsns.2021.106089
https://doi.org/10.1016/j.cnsns.2021.106089
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 53:235702
In this paper, we analyse the phase space structure of the roaming dynamics in a 2 degree of freedom potential energy surface consisting of two identical planar Morse potentials separated by a distance. This potential energy surface was previously st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe4ba2bbde2ee2c509af526abf8ce6ac
https://doi.org/10.1088/1751-8121/ab8b75
https://doi.org/10.1088/1751-8121/ab8b75
Publikováno v:
Physical review. E, Statistical, nonlinear, and soft matter physics. 90(2)
We treat a chaotic Hamiltonian scattering system with three degrees of freedom where the chaotic invariant set is of low dimension. Then the chaos and its structure are not visible in scattering functions plotted along one-dimensional lines in the se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08c69d39806cf209c03304171c633184
https://pubmed.ncbi.nlm.nih.gov/25215798
https://pubmed.ncbi.nlm.nih.gov/25215798
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 90:105282
We study the classical chaotic scattering of a He atom off a harmonically vibrating Cu surface. The three degree of freedom (3-dof) model is studied by first considering the non-vibrating 2-dof model for different values of the energy. The set of sin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22eb16defe02e349f3b0ed3987509db5