Dynamical trapping and chaotic scattering of the harmonically driven barrier

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dc.creatorKoch, Florian R. N.
dc.creatorLenz, Florian
dc.creatorPetri, Christoph
dc.creatorDiakonos, Fotis K.
dc.creatorSchmelcher, Peter
dc.date2008-12-31
dc.date.accessioned2026-07-07T12:23:42Z
dc.date.available2026-07-07T12:23:42Z
dc.descriptionA detailed analysis of the classical nonlinear dynamics of a single driven square potential barrier with harmonically oscillating position is performed. The system exhibits dynamical trapping which is associated with the existence of a stable island in phase space. Due to the unstable periodic orbits of the KAM-structure, the driven barrier is a chaotic scatterer and shows stickiness of scattering trajectories in the vicinity of the stable island. The transmission function of a suitably prepared ensemble yields results which are very similar to tunneling resonances in the quantum mechanical regime. However, the origin of these resonances is different in the classical regime.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0901.0099
dc.identifierhttp://arxiv.org/abs/0901.0099
dc.identifierFlorian R. N. Koch, Florian Lenz, Christoph Petri, Fotios K. Diakonos, and Peter Schmelcher. Phys. Rev. E, 78:56204, 2008
dc.identifierdoi:10.1103/PhysRevE.78.056204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214080
dc.subjectChaotic Dynamics
dc.titleDynamical trapping and chaotic scattering of the harmonically driven barrier
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