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Classical singularities in chaotic atom-surface scattering
Author(s) -
S. MiretArtés,
J. Margalef-Roig,
Raúl Guantes,
F. Borondo,
Charles Jaffé
Publication year - 1996
Publication title -
physical review. b, condensed matter
Language(s) - English
Resource type - Journals
eISSN - 1095-3795
pISSN - 0163-1829
DOI - 10.1103/physrevb.54.10397
Subject(s) - diffraction , scattering , surface (topology) , gravitational singularity , morse potential , singularity , physics , atom (system on chip) , chaotic scattering , order (exchange) , chaotic , bifurcation , classical mechanics , quantum mechanics , mathematical analysis , mathematics , nonlinear system , geometry , finance , artificial intelligence , computer science , economics , embedded system
In this paper we show that the diffraction condition for the scattering of atoms from surfaces leads to the appearance of a distinct type of classical singularity. Moreover, it is also shown that the onset of classical trapping or classical chaos is closely related to the bifurcation set of the diffraction-order function around the surface points presenting the rainbow effect. As an illustration of this dynamic, application to the scattering of He atoms by the stepped Cu(115) surface is presented using both a hard corrugated one-dimensional wall and a soft corrugated Morse potential.This work has been supported in part by DGICYT ~Spain! under Grants Nos. PB89-122, PB92-53, and PB92-181, and by the NSF ~USA! under Grant No. RII-8922106.Peer Reviewe

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