Describing Fermi acceleration with a scaling approach: The Bouncer model revisited

  • Leonel E
  • Livorati A
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Abstract

The behavior of average velocities on a dissipative version of the classical bouncer model is described using scaling arguments. The description of the model is made by use of a two-dimensional nonlinear area contracting map. Our results reveal that the model experiences a transition from limited to unlimited energy growth as the dissipation vanishes. © 2007 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Suppression of Fermi acceleration

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Authors

  • André LivoratiUniversidade Estadual Paulista Julio de Mesquita Filho Campus de Rio Claro

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  • Edson D. Leonel

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