The Fermi-Ulam Accelerator Model Under Scaling Analysis

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.

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

References in corpus (3)

• Chaotic Classical Scattering and Dynamics in Oscillating 1-D Potential Wells
• Traversal-time distribution for a classical time-modulated barrier
• A Lower Bound for Chaos on the Elliptical Stadium

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