Scaling properties of the Fermi-Ulam accelerator model

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...

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Published inBrazilian journal of physics Vol. 36; no. 3a; pp. 700 - 707
Main Authors Silva, Jafferson Kamphorst Leal da, Ladeira, Denis Gouvêa, Leonel, Edson D., McClintock, P. V. E., Kamphorst, Sylvie O.
Format Journal Article
LanguageEnglish
Portuguese
Published Sociedade Brasileira de Física 01.09.2006
Subjects
PHYSICS, MULTIDISCIPLINARY
Chaos
Scaling
Lyapunov Exponent
Fermi Model
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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.
AbstractList 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.
Author Ladeira, Denis Gouvêa
McClintock, P. V. E.
Leonel, Edson D.
Kamphorst, Sylvie O.
Silva, Jafferson Kamphorst Leal da
AuthorAffiliation Universidade Estadual Paulista
Universidade Federal de Minas Gerais
Lancaster University
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  givenname: Sylvie O.
  surname: Kamphorst
  fullname: Kamphorst, Sylvie O.
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Issue 3a
Keywords Chaos
Scaling
Lyapunov Exponent
Fermi Model
Language English
Portuguese
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Snippet 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...
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Title Scaling properties of the Fermi-Ulam accelerator model
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