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Scaling properties of the fermi-ulam model.

Research output: Contribution to journalJournal article

Published

  • Jafferson Kamphorst Leal Da Silva
  • Denis Gouvêa Ladeira
  • Edson D. Leonel
  • Peter V. E. McClintock
  • Sylvie O. Kamphorst
Journal publication date2006
JournalBrazilian Journal of Physics
Journal number3A
Volume36
Number of pages8
Pages700-707
Original languageEnglish

Abstract

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.