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arXiv · 1102.4303

Deceleration mechanism of Fermi acceleration in a time-dependent stadium billiard

André L. P. Livorati·Alexander Loskutov·Edson D. Leonel
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Abstract

The dynamics of a time-dependent stadium-like billiard are studied by a four dimensional nonlinear mapping. We have shown that even without any dissipation, the particle experiences a decrease on its velocity. Such condition is related with a critical resonance velocity, where if the initial velocity has a higher value than the resonant one, we can observe Fermi acceleration, however, if the initial velocity has a initial value smaller than the critical one, the particle is temporarily trapped surrounding the stability islands, in a stickiness regime. We believe that this sticky orbits can act as deceleration mechanism for Fermi Acceleration.

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André L. P. Livorati, Alexander Loskutov, Edson D. Leonel. 2011-02-21. Deceleration mechanism of Fermi acceleration in a time-dependent stadium billiard. https://arxiv.org/abs/1102.4303

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