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arXiv · 0901.0099

Dynamical trapping and chaotic scattering of the harmonically driven barrier

Florian R. N. Koch·Florian Lenz·Christoph Petri·Fotis K. Diakonos·Peter Schmelcher
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Abstract

A 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.

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Florian R. N. Koch, Florian Lenz, Christoph Petri, Fotis K. Diakonos, Peter Schmelcher. 2008-12-31. Dynamical trapping and chaotic scattering of the harmonically driven barrier. https://doi.org/10.1103/physreve.78.056204

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