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Related Experiment Videos

On-off intermittency and intermingledlike basins in a granular medium.

Malte Schmick1, Eric Goles, Mario Markus

  • 1Max-Planck-Institut für molekulare Physiologie, Postfach 500247, 44202 Dortmund, Germany. schmick@mpi-dortmund.mpg.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 7, 2003
PubMed
Summary

Molecular dynamics simulations reveal two distinct dynamic modes in a tilted disk system. These modes exhibit hysteresis, intermittency, and unique velocity distributions, with bifurcations mapped by a cross-shaped phase diagram.

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Area of Science:

  • Physics
  • Computational Science

Background:

  • Understanding complex system dynamics is crucial in various scientific fields.
  • Molecular dynamics simulations offer insights into particle interactions and emergent behaviors.

Purpose of the Study:

  • To investigate the dynamic modes of a system of disks in a periodically tilted box.
  • To characterize the distinct features and phase transitions of these dynamic modes.

Main Methods:

  • Utilized molecular dynamics simulations.
  • Employed a periodically tilted box model for disk interactions.
  • Analyzed potential and kinetic energies, phase space, and velocity distributions.

Main Results:

  • Identified two distinct dynamic modes with significant differences in energy.

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  • Observed hysteresis, intermingled basins of attraction, and two-state on-off intermittency.
  • Characterized bimodal velocity distributions and defined bifurcations via a cross-shaped phase diagram.

    • Conclusions:

    • The simulated disk system exhibits complex dynamics with multiple emergent behaviors.
    • The identified dynamic modes and their transitions provide a framework for understanding similar systems.
    • Phase diagrams are effective in mapping bifurcations in such complex systems.