Scaling Properties of the Fermi-Ulam Accelerator Model
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedade Brasileira de Física
2006
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| author | Jafferson Kamphorst Leal da Silva |
| author_facet | Jafferson Kamphorst Leal da Silva |
| contents | Scaling Properties of the Fermi-Ulam Accelerator Model Jafferson Kamphorst Leal da Silva Denis Gouvêa Ladeira Edson D. Leonel P. V. E. McClintock Sylvie O. Kamphorst Física, Astronomía y Matemáticas Chaos Scaling Fermi Model Lyapunov Exponent 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. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413654022 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3A Vol.36 |
| format | Artículo científico |
| id | redalyc_46413654022 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Scaling Properties of the Fermi-Ulam Accelerator Model Jafferson Kamphorst Leal da Silva Física, Astronomía y Matemáticas Chaos Scaling Fermi Model Lyapunov Exponent Scaling Properties of the Fermi-Ulam Accelerator Model Jafferson Kamphorst Leal da Silva Denis Gouvêa Ladeira Edson D. Leonel P. V. E. McClintock Sylvie O. Kamphorst Física, Astronomía y Matemáticas Chaos Scaling Fermi Model Lyapunov Exponent 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. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46413654022 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3A Vol.36 |
| title | Scaling Properties of the Fermi-Ulam Accelerator Model |
| topic | Física, Astronomía y Matemáticas Chaos Scaling Fermi Model Lyapunov Exponent |
| url | https://www.redalyc.org/articulo.oa?id=46413654022 |