Time-dependent properties of a simplified Fermi-Ulam accelerator model

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Denis Gouvêa Ladeira and Jafferson Kamphorst Leal da Silva
Departamento de Física, ICEx Universidade Federal de Minas Gerais Caixa Postal 702, 30.123-970, Belo Horizonte/MG, Brazil

Received 23 June 2005; published 2 February 2006

Thechaotic low-energy region of a simplified Fermi-Ulam accelerator model isinvestigated numerically to determine the average energy and number ofcollisions as functions of time. We find that these propertiesexhibit scaling when the oscillation amplitude of the moving wallis small. Following a transient regime, the average energy increasesin time, reaches a maximum and then shows a surprisingslow decay.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.73.026201
DOI:	10.1103/PhysRevE.73.026201
PACS:	05.45.Pq 05.45.Pq Numerical simulations of chaotic models YEAR: 2006
KEYWORDS:	chaos, oscillations

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E. Fermi, Phys. Rev. 75, 1169 (1949).
M. A. Lieberman and A. J. Lichtenberg, Phys. Rev. A 5, 1852 (1971).
E. D. Leonel, P. V. E. McClintock, and J. K. da Silva, Phys. Rev. Lett. 93, 014101 (2004).
S. T. Dembinski, A. J. Makowski, and P. Peplowski, Phys. Rev. Lett. 70, 1093 (1993).
J. V. José and R. Cordery, Phys. Rev. Lett. 56, 290 (1986).
Z. J. Kowalik, M. Franaszek, and P. Pieranski, Phys. Rev. A 37, 4016 (1988).