Tunable Fermi acceleration in the driven elliptical billiard

Details Tunable Fermi acceleration in the driven elliptical billiard Tunable Fermi acceleration in the driven elliptical billiard

2008-01-04

arxiv.org/abs/0801.0641v1

Phys.Rev.Lett.100:014103, 2008

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevLett.100.014103

We explore the dynamical evolution of an ensemble of non-interacting 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.

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