The Fermi-Ulam Accelerator Model Under Scaling Analysis

2004/06/24 by Edson D. Leonel, P. V. E. McClintock, J. Kamphorst Leal da Silva · 2 citations
Physics and Astronomy · #nlin.CD

paper · pdf · doi:10.1103/physrevlett.93.014101

4 pages, 4 figures. A slightly modified version to appears in Physical Review Letters

arxiv created 2004/06/24 · arxiv updated 2009/12/01

Abstract

The chaotic low energy region of the Fermi-Ulam simplified accelerator model is characterised by 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.

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