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Phys. Rev. Lett. 93, 014101 (2004) [4 pages]

Fermi-Ulam Accelerator Model under Scaling Analysis

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Edson D. Leonel1, P. V. E. McClintock1, and J. Kamphorst Leal da Silva2
1Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom
2Departamento de Física, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, CP 702, CEP 30123-970, Belo Horizonte, Minas Gerais, Brazil

 See Also: Publisher's Note

Received 1 April 2004; published 28 June 2004; publisher error corrected 30 June 2004

The chaotic low energy region of the Fermi-Ulam simplified accelerator model is characterized by the use of scaling analysis. It is shown that the average velocity and the roughness (variance of the average velocity) obey scaling functions with the same characteristic exponents. The formalism is widely applicable, including to billiards and to other chaotic systems.


©2004 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.93.014101
DOI: 10.1103/PhysRevLett.93.014101
PACS: 05.45.Pq, 05.45.Ac, 47.52.+j

See Also

Publisher's Note: Edson D. Leonel, P. V. McClintock, and J. Kamphorst da Silva, Publisher's Note: Fermi-Ulam Accelerator Model under Scaling Analysis[Phys. Rev. Lett. 93, 014101 (2004)], Phys. Rev. Lett. 93, 029901 (2004)

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