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Tunable Fermi Acceleration in the Driven Elliptical Billiard

Tunable Fermi Acceleration in the Driven Elliptical Billiard

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 …