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Bibliographic Details
Main Authors: Borondo, Florentino, Fontich, Ernest, Martín, Pau
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.05795
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author Borondo, Florentino
Fontich, Ernest
Martín, Pau
author_facet Borondo, Florentino
Fontich, Ernest
Martín, Pau
contents We consider a Hamiltonian system that models the scattering of helium atoms off a copper surface. The interaction between the He and the Cu atoms is described by a corrugated Morse potential. Using corrugation coefficients values in the potential obtained by fitting to experimental values, we prove that, provided some coefficient of an auxiliary function is different from 0, there are regions of the phase space, corresponding to sufficiently large energy of the incident atom, where the scattering is chaotic. Furthermore, we prove that the system has oscillatory motions.
format Preprint
id arxiv_https___arxiv_org_abs_2401_05795
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Chaotic scattering of He atoms off a Cu surface with corrugated Morse potential
Borondo, Florentino
Fontich, Ernest
Martín, Pau
Dynamical Systems
We consider a Hamiltonian system that models the scattering of helium atoms off a copper surface. The interaction between the He and the Cu atoms is described by a corrugated Morse potential. Using corrugation coefficients values in the potential obtained by fitting to experimental values, we prove that, provided some coefficient of an auxiliary function is different from 0, there are regions of the phase space, corresponding to sufficiently large energy of the incident atom, where the scattering is chaotic. Furthermore, we prove that the system has oscillatory motions.
title Chaotic scattering of He atoms off a Cu surface with corrugated Morse potential
topic Dynamical Systems
url https://arxiv.org/abs/2401.05795