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Related Experiment Videos

Phase bubbles and spatiotemporal chaos in granular patterns.

Sung Joon Moon1, M D Shattuck, C Bizon

  • 1Center for Nonlinear Dynamics and Department of Physics, University of Texas, Austin, Texas 78712, USA. moon@chaos.ph.utexas.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 22, 2002
PubMed
Summary

Phase bubbles spontaneously form in oscillated granular layers above 7 g acceleration. These localized regions oscillate out of phase, shrinking over time due to inward momentum transfer, leading to complex patterns at higher amplitudes.

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Area of Science:

  • Physics
  • Complex Systems
  • Nonlinear Dynamics

Background:

  • Vertically oscillated granular layers exhibit complex spatiotemporal patterns.
  • Subharmonic oscillations and pattern formation are key phenomena in granular physics.

Purpose of the Study:

  • To investigate the spontaneous nucleation and dynamics of phase bubbles in granular layers under vertical oscillation.
  • To understand the role of container acceleration amplitude on pattern evolution and stability.

Main Methods:

  • Inelastic hard sphere molecular dynamics simulations.
  • Laboratory experiments with vertically oscillated granular layers.

Main Results:

  • Phase bubbles nucleate above a critical acceleration of approximately 7 g, exhibiting hexagonal patterns oscillating at f/4.

Related Experiment Videos

  • Phase bubbles shrink due to inward collisional momentum transfer, disappearing within hundreds of cycles.
  • Higher acceleration amplitudes lead to spatiotemporal chaos with labyrinthian kinks.
  • Transient f/3 and f/6 subharmonic patterns were observed as primary instabilities.

    • Conclusions:

    • Phase bubbles are a fundamental emergent behavior in oscillated granular systems.
    • The dynamics of phase bubbles are governed by momentum transfer and exhibit surface tension-like behavior.
    • Granular layer behavior transitions from ordered patterns to chaos with increasing oscillation amplitude.