2008/01/04 by F. Lenz, Florian Lenz, F. Κ. Diakonos +2 · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Quantum chaos and dynamical systems #Scientific Research and Discoveries #nlin.CD
paper · pdf · doi:10.1103/physrevlett.100.014103
published as Phys.Rev.Lett.100:014103, 2008
arxiv created 2008/01/04 · openalex publication_date 2008/01/11 · arxiv updated 2010/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We explore the dynamical evolution of an ensemble of noninteracting particles propagating freely in an elliptical billiard with harmonically driven boundaries. The existence of Fermi acceleration is shown thereby refuting the established assumption that smoothly driven billiards whose static counterparts are integrable do not exhibit acceleration dynamics. The underlying mechanism based on intermittent phases of laminar and stochastic behavior of the strongly correlated angular momentum and velocity motion is identified and studied with varying parameters. The diffusion process in velocity space is shown to be anomalous and we find that the corresponding characteristic exponent depends monotonically on the breathing amplitude of the billiard boundaries. Thus it is possible to tune the acceleration law in a straightforwardly controllable manner.