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arXiv · 2110.11530

Exponential Fermi Acceleration in a Switching Billiard

Davit Karagulyan·Jing Zhou
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Abstract

In this paper we show an infinite measure set of exponentially escaping orbits for a resonant Fermi accelerator, which is realised as a square billiard with a periodically oscillating platform. We use normal forms to describe how the energy changes in a period and we employ techniques for hyperbolic systems with singularities to show the exponential drift of these normal forms on a divided time-energy phase.

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Davit Karagulyan, Jing Zhou. 2021-10-22. Exponential Fermi Acceleration in a Switching Billiard. https://doi.org/10.1007/s00220-022-04505-8

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