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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Previous research suggested defect density in random packings vanishes with height.
  • Understanding defect distribution is crucial for predicting material properties.

Purpose of the Study:

  • To investigate the residual distribution of structural defects in tall disk packings.
  • To determine if defect density decreases with increasing packing height.

Main Methods:

  • Simulations of random disk sedimentation in large channels.
  • Analysis of defect density as a function of channel width and packing height.
  • Utilized large-scale simulations with up to 50 x 10^9 particles.

Main Results:

  • Observed a consistent, non-zero residual density of defects in all simulated packings.
  • Defect density follows a power-law relationship with channel width.
  • Challenged the notion that defect density algebraically vanishes with increasing height.

Conclusions:

  • Tall disk packings exhibit a residual defect density, implying long-range spatial order.
  • Particle deposition processes may be less random than previously assumed.
  • Findings necessitate a revision of models for granular materials and random packings.