Fermi-ulam accelerator model under scaling analysis

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 wid...

Full description

Saved in:
Bibliographic Details
Published in:Physical review letters 2004-07, Vol.93 (1), p.014101.1-014101.4, Article 014101
Main Authors: LEONEL, Edson D, MCCLINTOCK, P. V. E, KAMPHORST LEAL DA SILVA, J
Format: Article
Language:English
Subjects:
Chaos
Classical chaos
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Nonlinear dynamics and nonlinear dynamical systems
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.93.014101