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The Fermi-Ulam accelerator model under scaling analysis.

McClintock, Peter V. E. and da Silva, J. K. L. and Leonel, E. D. (2004) The Fermi-Ulam accelerator model under scaling analysis. Physical Review Letters, 93 (1). 014101.

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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.

Item Type: Article
Journal or Publication Title: Physical Review Letters
Additional Information: The chaotic region of the Fermi-Ulam model is shown to be characterized by scaling relations. Resultant formalism subsequently applied by others in various contexts, including billiards and chaotic systems. RAE_import_type : Journal article RAE_uoa_type : Physics
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 2272
Deposited By: ep_importer
Deposited On: 04 Apr 2008 10:04
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 16:05
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/2272

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