Jump to main content
Jump to site search
Access to RSC content Close the message box

Continue to access RSC content when you are not at your institution. Follow our step-by-step guide.


Issue 12, 2013
Previous Article Next Article

Pore-size entropy of random hard-sphere packings

Author affiliations

Abstract

We introduce a method for calculating the entropy of random hard-sphere packings, also referred to as pore-size entropy. The method is applicable to packings of monodisperse or polydisperse spheres as well as non-spherical particles. Pore-size entropy allows us to analyze the packing microstructure and provides deep insight into the traditional concept of pore-size distribution. Specifically, the logarithm of the pore-size distribution's tail area is equal to the packing entropy. We reveal a local minimum in the plot of pore-size entropy vs. packing density (φ) for monodisperse frictionless sphere packings at a critical density of φC ≈ 0.65, independent of the employed packing generation protocol (Lubachevsky–Stillinger, Jodrey–Tory, and force-biased algorithms), which is a density with minimal number of available packing configurations. This entropy minimum is followed by an entropy increase as φ increases up to ∼0.68, corresponding to the emergence of crystalline structures in the coexistence region; beyond this packing density the entropy decreases again. In a complementary study we modify the Lubachevsky–Stillinger protocol and reproduce the random-close packing limit at φRCP ≈ 0.64. We conclude that φRCP ≈ 0.64 is the jamming point of the glassy states with the lowest density, whereas φC ≈ 0.65 is the jamming point of the densest glassy state (the ideal glass state).

Graphical abstract: Pore-size entropy of random hard-sphere packings

Back to tab navigation

Article information


Submitted
15 Oct 2012
Accepted
28 Jan 2013
First published
11 Feb 2013

Soft Matter, 2013,9, 3361-3372
Article type
Paper

Pore-size entropy of random hard-sphere packings

V. Baranau, D. Hlushkou, S. Khirevich and U. Tallarek, Soft Matter, 2013, 9, 3361
DOI: 10.1039/C3SM27374A

Social activity

Search articles by author

Spotlight

Advertisements