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Fermi-Ulam accelerator model under scaling analysis.

Edson D Leonel1, P V E McClintock, J Kamphorst Leal Da Silva

  • 1Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom.

Physical Review Letters
|August 25, 2004
PubMed
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The Fermi-Ulam accelerator model

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Statistical Mechanics

Background:

  • The Fermi-Ulam model is a simplified accelerator exhibiting chaotic dynamics.
  • Understanding the low-energy regime of chaotic systems is crucial for various physical phenomena.

Purpose of the Study:

  • To characterize the chaotic low-energy region of the Fermi-Ulam simplified accelerator model.
  • To investigate the scaling behavior of average velocity and roughness.

Main Methods:

  • Utilizing scaling analysis to examine the chaotic dynamics.
  • Analyzing the average velocity and its variance (roughness).

Main Results:

  • Average velocity and roughness follow scaling functions with identical characteristic exponents.

Related Experiment Videos

  • The observed scaling behavior provides insights into the system's chaotic dynamics.

    • Conclusions:

    • The scaling formalism is broadly applicable to diverse chaotic systems.
    • This study offers a unified approach to understanding chaotic dynamics in simplified models and physical systems like billiards.