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Swirling granular solidlike clusters

Scherer1, Kotter, Markus

  • 1Institut fur Experimentelle Physik, Otto-von-Guericke-Universitat, Postfach 4120, D-39016 Magdeburg, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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Granular materials in a rotating dish form self-organized ring structures. The system exhibits phase transitions identified by changes in kinetic energy, revealing complex dynamics.

Area of Science:

  • Physics of granular materials
  • Nonlinear dynamics
  • Complex systems

Background:

  • Understanding the collective behavior of granular materials under external forcing is crucial.
  • Previous studies have explored pattern formation but often in 2D or with different driving mechanisms.

Purpose of the Study:

  • To investigate the three-dimensional dynamics of granular material in a periodically driven cylindrical dish.
  • To elucidate the self-organization phenomena and phase transitions within the granular system.

Main Methods:

  • Conducted experiments using a cylindrical dish with granular material subjected to horizontal periodic motion.
  • Performed three-dimensional numerical simulations to replicate and analyze the experimental observations.
  • Analyzed particle trajectories and calculated the change in mean kinetic energy with particle number (dE(kin)/dN).

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Main Results:

  • Observed that for large particle numbers (N), particles form hypocycloidal trajectories within a solidlike cluster ('pancake').
  • This cluster exhibits counter-rotation relative to the driving motion, termed 'reptation'.
  • Identified self-organization into concentric probability distribution rings and distinct phase transitions characterized by dE(kin)/dN values (zero, positive, and negative).

Conclusions:

  • The study demonstrates complex self-organization and phase transitions in 3D granular systems.
  • Hypocycloidal trajectories, reptation, and ring formation are key emergent phenomena.
  • Kinetic energy analysis effectively identifies transitions between rotational, reptation, and ring-dominated states.