The Fermi-Ulam Accelerator Model Under Scaling Analysis

Details The Fermi-Ulam Accelerator Model Under Scaling Analysis The Fermi-Ulam Accelerator Model Under Scaling Analysis

2004-06-24

arxiv.org/abs/nlin/0406056v1

Nonlinear Sciences

Chaotic Dynamics

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

Scientific paper

10.1103/PhysRevLett.93.014101

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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