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Scaling properties of the Fermi-Ulam model

Research output: Contribution to journalJournal article


  • Jafferson Kamphorst Leal Da Silva
  • Denis Gouvêa Ladeira
  • Edson D. Leonel
  • Peter V. E. McClintock
  • Sylvie O. Kamphorst
<mark>Journal publication date</mark>2006
<mark>Journal</mark>Brazilian Journal of Physics
Issue number3A
Number of pages8
Pages (from-to)700-707
<mark>Original language</mark>English


The chaotic low energy region (chaotic sea) of the Fermi-Ulam accelerator model is discussed within a scaling framework near the integrable to non-integrable transition. Scaling results for the average quantities (velocity, roughness, energy etc.) of the simplified version of the model are reviewed and it is shown that, for small oscillation amplitude of the moving wall, they can be described by scaling functions with the same characteristic exponents. New numerical results for the complete model are presented. The chaotic sea is also characterized by its Lyapunov exponents.