Andre L. P. Livorati, Alexander Loskutov, Edson D. Leonel. Deceleration mechanism of Fermi acceleration in a time-dependent stadium billiard


Natural Sciences / Physics / Mathematical Physics

Submitted on: Sep 13, 2012, 16:56:09

Description: 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.

The abstract of this article will be published in the September 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.

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