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2006•Physical Review EOpen access

Fermi acceleration on the annular billiard

R. Egydio de Carvalho, F. Caetano Souza, Edson D. Leonel

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Abstract

We study the phenomenon of unlimited energy growth for a classical particle moving in the annular billiard. The model is considered under two different geometrical situations: static and breathing boundaries. We show that when the dynamics is chaotic for the static case, the introduction of a time-dependent perturbation allows that the particle experiences the phenomenon of Fermi acceleration even when the oscillations are periodic.

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What this paper is about

We study the phenomenon of unlimited energy growth for a classical particle moving in the annular billiard. The model is considered under two different geometrical situations: static and breathing boundaries. We show that when the dynamics is chaotic for the static case, the introduction of a time-dependent perturbation allows that the particle experiences the phenomenon of Fermi acceleration even when the oscillations are periodic.

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Available abstract

We study the phenomenon of unlimited energy growth for a classical particle moving in the annular billiard. The model is considered under two different geometrical situations: static and breathing boundaries. We show that when the dynamics is chaotic for the static case, the introduction of a time-dependent perturbation allows that the particle experiences the phenomenon of Fermi acceleration even when the oscillations are periodic.

Key concepts: Dynamical billiards, Fermi acceleration, Fermi Gamma-ray Space Telescope, Physics, Perturbation (astronomy), Chaotic, Acceleration, Classical mechanics

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