Dynamical trapping and chaotic scattering of the harmonically driven barrier

Details Dynamical trapping and chaotic scattering of the harmonically driven barrier Dynamical trapping and chaotic scattering of the harmonically driven barrier

2008-12-31

arxiv.org/abs/0901.0099v1

Florian R. N. Koch, Florian Lenz, Christoph Petri, Fotios K. Diakonos, and Peter Schmelcher. Phys. Rev. E, 78:56204, 2008

Nonlinear Sciences

Chaotic Dynamics

14 pages

Scientific paper

10.1103/PhysRevE.78.056204

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.

Affiliated with

Also associated with

No associations

Rating

Dynamical trapping and chaotic scattering of the harmonically driven barrier does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dynamical trapping and chaotic scattering of the harmonically driven barrier, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical trapping and chaotic scattering of the harmonically driven barrier will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-536906