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The Fermi-Ulam accelerator model under scaling analysis.

By Peter V. E. McClintock, J. K. L. da Silva and E. D. Leonel

Abstract

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

Year: 2004
OAI identifier: oai:eprints.lancs.ac.uk:2272
Provided by: Lancaster E-Prints
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