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Scaling properties of the Fermi-Ulam model

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Scaling properties of the Fermi-Ulam model. / Da Silva, Jafferson Kamphorst Leal; Gouvêa Ladeira, Denis; Leonel, Edson D. et al.
In: Brazilian Journal of Physics, Vol. 36, No. 3A, 2006, p. 700-707.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Da Silva, JKL, Gouvêa Ladeira, D, Leonel, ED, McClintock, PVE & Kamphorst, SO 2006, 'Scaling properties of the Fermi-Ulam model', Brazilian Journal of Physics, vol. 36, no. 3A, pp. 700-707. https://doi.org/10.1590/S0103-97332006000500022

APA

Da Silva, J. K. L., Gouvêa Ladeira, D., Leonel, E. D., McClintock, P. V. E., & Kamphorst, S. O. (2006). Scaling properties of the Fermi-Ulam model. Brazilian Journal of Physics, 36(3A), 700-707. https://doi.org/10.1590/S0103-97332006000500022

Vancouver

Da Silva JKL, Gouvêa Ladeira D, Leonel ED, McClintock PVE, Kamphorst SO. Scaling properties of the Fermi-Ulam model. Brazilian Journal of Physics. 2006;36(3A):700-707. doi: 10.1590/S0103-97332006000500022

Author

Da Silva, Jafferson Kamphorst Leal ; Gouvêa Ladeira, Denis ; Leonel, Edson D. et al. / Scaling properties of the Fermi-Ulam model. In: Brazilian Journal of Physics. 2006 ; Vol. 36, No. 3A. pp. 700-707.

Bibtex

@article{52c2a730c0e0471a9dc4d0a416c9f0cc,
title = "Scaling properties of the Fermi-Ulam model",
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.",
keywords = "Fermi Model, Chaos, Lyapunov Exponent, Scaling",
author = "{Da Silva}, {Jafferson Kamphorst Leal} and {Gouv{\^e}a Ladeira}, Denis and Leonel, {Edson D.} and McClintock, {Peter V. E.} and Kamphorst, {Sylvie O.}",
year = "2006",
doi = "10.1590/S0103-97332006000500022",
language = "English",
volume = "36",
pages = "700--707",
journal = "Brazilian Journal of Physics",
issn = "0103-9733",
publisher = "Springer New York",
number = "3A",

}

RIS

TY - JOUR

T1 - Scaling properties of the Fermi-Ulam model

AU - Da Silva, Jafferson Kamphorst Leal

AU - Gouvêa Ladeira, Denis

AU - Leonel, Edson D.

AU - McClintock, Peter V. E.

AU - Kamphorst, Sylvie O.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - Fermi Model

KW - Chaos

KW - Lyapunov Exponent

KW - Scaling

U2 - 10.1590/S0103-97332006000500022

DO - 10.1590/S0103-97332006000500022

M3 - Journal article

VL - 36

SP - 700

EP - 707

JO - Brazilian Journal of Physics

JF - Brazilian Journal of Physics

SN - 0103-9733

IS - 3A

ER -