Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Hyperacceleration in a stochastic Fermi-Ulam model.

A K Karlis1, P K Papachristou, F K Diakonos

  • 1Department of Physics, University of Athens, GR-15771 Athens, Greece.

Physical Review Letters
|December 13, 2006
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Long-range interacting particles on a helix: A statistical and correlation analysis of equilibrium configurations.

Physical review. E·2025
Same author

Nonlinear Stage of Modulational Instability in Repulsive Two-Component Bose-Einstein Condensates.

Physical review letters·2025
Same author

Chirally Protected State Manipulation by Tuning One-Dimensional Statistics.

Physical review letters·2025
Same author

Generative resolution-enhanced microscopy based on computational stitching of Fourier spectra.

Micron (Oxford, England : 1993)·2025
Same author

In Situ Observation of Nonpolar to Strongly Polar Atom-Ion Collision Dynamics.

Physical review letters·2024
Same author

Compression-induced crossovers for the ground state of classical dipole lattices on a Möbius strip.

Physical review. E·2024

This study reveals that neglecting wall displacement in Fermi acceleration models underestimates particle speed. An improved model accounts for wall movement, accurately predicting long-term particle velocity and distribution, a phenomenon termed Fermi hyperacceleration.

Area of Science:

  • Statistical mechanics
  • Nonlinear dynamics
  • Plasma physics

Background:

  • Fermi acceleration describes particle energy gain from moving boundaries.
  • The Fermi-Ulam model simulates this with particles and oscillating walls.
  • Existing approximations often neglect wall displacement effects.

Purpose of the Study:

  • To investigate Fermi acceleration in a Fermi-Ulam model.
  • To analyze the impact of wall displacement on particle acceleration.
  • To develop an improved model for accurate long-term predictions.

Main Methods:

  • Simulation of particle dynamics in a Fermi-Ulam model.
  • Development of an improved approximative map accounting for wall displacement.
  • Analytical estimation of long-term particle velocity and distribution.

Related Experiment Videos

  • Comparison with numerical results of exact dynamics.

    • Main Results:

    • The static wall approximation systematically underestimates particle acceleration.
    • The improved model accurately predicts long-term particle mean velocity and probability distribution.
    • This enhanced acceleration, termed Fermi hyperacceleration, is confirmed by numerical simulations.
    • The effect is also observed in higher-dimensional systems like the driven Lorentz gas.

    Conclusions:

    • Wall displacement significantly impacts Fermi acceleration, leading to Fermi hyperacceleration.
    • The developed improved model provides accurate analytical predictions for long-term particle dynamics.
    • The findings have implications for understanding particle acceleration in various physical systems.