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arXiv · 1011.0419

In-flight dissipation as a mechanism to suppress Fermi acceleration

Diego F. M. Oliveira·Marko Robnik
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Abstract

Some dynamical properties of time-dependent driven elliptical-shaped billiard are studied. It was shown that for the conservative time-dependent dynamics the model exhibits the Fermi acceleration [Phys. Rev. Lett. 100, 014103 (2008)]. On the other hand, it was observed that damping coefficients upon collisions suppress such phenomenon [Phys. Rev. Lett. 104, 224101 (2010)]. Here, we consider a dissipative model under the presence of in-flight dissipation due to a drag force which is assumed to be proportional to the square of the particle's velocity. Our results reinforce that dissipation leads to a phase transition from unlimited to limited energy growth. The behaviour of the average velocity is described using scaling arguments.

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Diego F. M. Oliveira, Marko Robnik. 2010-11-01. In-flight dissipation as a mechanism to suppress Fermi acceleration. https://doi.org/10.1103/physreve.83.026202

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