The Fermi-Ulam Accelerator Model Under Scaling Analysis
Chaotic Dynamics
2009-11-10 v1
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.
Cite
@article{arxiv.nlin/0406056,
title = {The Fermi-Ulam Accelerator Model Under Scaling Analysis},
author = {Edson D. Leonel and P. V. E. McClintock and J. Kamphorst Leal da Silva},
journal= {arXiv preprint arXiv:nlin/0406056},
year = {2009}
}
Comments
4 pages, 4 figures. A slightly modified version to appears in Physical Review Letters