Exponential Fermi Acceleration in a Switching Billiard
Dynamical Systems
2022-09-21 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2110.11530,
title = {Exponential Fermi Acceleration in a Switching Billiard},
author = {Davit Karagulyan and Jing Zhou},
journal= {arXiv preprint arXiv:2110.11530},
year = {2022}
}