Scaling properties of the Fermi-Ulam model

Da Silva, Jafferson Kamphorst Leal and Gouvêa Ladeira, Denis and Leonel, Edson D. and McClintock, Peter V. E. and Kamphorst, Sylvie O. (2006) Scaling properties of the Fermi-Ulam model. Brazilian Journal of Physics, 36 (3A). pp. 700-707. ISSN 0103-9733

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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.

Item Type: Journal Article
Journal or Publication Title: Brazilian Journal of Physics
Uncontrolled Keywords: Fermi Model ; Chaos ; Lyapunov Exponent ; Scaling
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 10079
Deposited By: Users 49 not found.
Deposited On: 02 Jul 2008 19:10
Refereed?: Yes
Published?: Published
Last Modified: 11 Jun 2019 05:28
URI: https://eprints.lancs.ac.uk/id/eprint/10079

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