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Related Experiment Videos

Unexpected density fluctuations in jammed disordered sphere packings.

Aleksandar Donev1, Frank H Stillinger, Salvatore Torquato

  • 1Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544, USA.

Physical Review Letters
|October 4, 2005
PubMed
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Ultradense sphere packings derived from disordered stealthy hyperuniform ground states.

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We computationally studied jammed disordered hard-sphere packings. These packings are saturated and hyperuniform, meaning density fluctuations grow with surface area, not volume.

Area of Science:

  • Physics
  • Materials Science
  • Computational Science

Background:

  • Disordered materials lack long-range order but exhibit complex structures.
  • Jamming transition in hard spheres is a fundamental concept in condensed matter physics.
  • Understanding local density fluctuations is crucial for material properties.

Purpose of the Study:

  • To computationally investigate the properties of large-scale jammed disordered hard-sphere packings.
  • To analyze the nature of density fluctuations and structural correlations in these systems.
  • To identify unique characteristics of the structure factor and correlation functions.

Main Methods:

  • Large-scale computational simulations of hard-sphere packings up to one million particles.
  • Analysis of local density fluctuations using varying window sizes.

Related Experiment Videos

  • Calculation and examination of the structure factor S(k).
  • Determination of the total correlation function h(r) and direct correlation function c(r).

    • Main Results:

    • Packings were found to be saturated and hyperuniform.
    • Local density fluctuations scale with logarithmically augmented surface area, not volume.
    • The structure factor S(k) exhibits a nonanalytic linear dependence near the origin (|k|).
    • A weak power-law tail in the total correlation function (-r^-4) and long-ranged direct correlation function were observed.

    Conclusions:

    • Jammed hard-sphere packings exhibit hyperuniformity, a significant deviation from typical disordered systems.
    • The observed structure factor and correlation functions suggest unique long-range correlations.
    • These findings provide new insights into the fundamental properties of jammed disordered matter.