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Jammed lattice sphere packings.

Yoav Kallus1, Étienne Marcotte2, Salvatore Torquato3

  • 1Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 4, 2014
PubMed
Summary
This summary is machine-generated.

We created jammed hard-sphere lattices to model jamming and glass transitions. This new model accurately reflects key features of hard spheres and allows study in higher dimensions.

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Area of Science:

  • Physics
  • Materials Science
  • Computational Science

Background:

  • Jamming and glass transitions are critical phenomena in condensed matter physics.
  • Classical hard-sphere models provide a foundation for understanding these transitions.
  • Exploring higher dimensions is challenging with traditional methods.

Purpose of the Study:

  • To generate and analyze an ensemble of isostatic jammed hard-sphere lattices.
  • To investigate the structural and mechanical properties of these lattices.
  • To propose a novel model for jamming and glass transitions applicable to higher dimensions.

Main Methods:

  • Compression of a periodic system with an adaptive unit cell containing a single sphere.
  • Numerical analysis of densities, pair correlations, force distributions, and structure factors.
  • Generation of mechanically stable lattices.

Main Results:

  • The generated lattices exhibit isostatic jamming.
  • Detailed numerical data on lattice properties were obtained.
  • The model successfully retains crucial structural features of classical hard-sphere systems.

Conclusions:

  • The proposed isostatic jammed hard-sphere lattice model is a viable tool for studying jamming and glass transitions.
  • This model facilitates exploration in higher dimensional spaces, overcoming limitations of classical approaches.
  • The findings offer new insights into the fundamental physics of disordered materials.