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Related Experiment Video

Updated: Jun 13, 2026

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

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Published on: May 20, 2014

Dense packing in the monodisperse hard-sphere system: a numerical study.

W-S Xu¹, Z-Y Sun, L-J An

¹State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, 130022, Changchun, PRC.

The European Physical Journal. E, Soft Matter

|April 21, 2010

Summary

The compression rate controls the density and order of hard sphere packings. Slower rates yield denser, more ordered structures, revealing a transition between amorphous and crystalline states.

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Assembly and Characterization of Polyelectrolyte Complex Micelles

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Assembly and Characterization of Polyelectrolyte Complex Micelles

Assembly and Characterization of Polyelectrolyte Complex Micelles

Published on: March 2, 2020

Area of Science:

Physics
Materials Science
Computational Science

Background:

Understanding the packing of hard spheres is fundamental in statistical mechanics and materials science.
The relationship between packing density, structural order, and the method of preparation remains an active area of research.

Purpose of the Study:

To numerically investigate the close packing of monodisperse hard spheres using the Lubachesky-Stillinger algorithm.
To quantitatively determine the influence of compression rate on the density and structural order of arrested hard sphere packings.
To identify and characterize the transition region between amorphous and crystalline packing states.

Main Methods:

Utilizing the Lubachesky-Stillinger (LS) compression algorithm to generate close packings of hard spheres.
Performing a numerical study to systematically vary compression rates.
Analyzing the structural properties and density of the resulting packings, including system size dependencies.

Main Results:

Demonstrating that slower compression rates lead to denser and more ordered hard sphere packings.
Identifying a distinct transition region in the density-reciprocal compression rate plane, bridging amorphous and crystalline states.
Observing significant system size effects on the structural properties of packings across the disorder-to-order spectrum.

Conclusions:

The compression rate is a critical parameter that dictates the final state of hard sphere packings.
A continuous transition exists between disordered (glassy) and ordered (crystalline) packings, influenced by preparation protocols.
These findings offer insights into the relationship between glassy and crystalline states in hard sphere systems.