PMID: 22587029May 17, 2012Paper

Jammed spheres: Minkowski tensors reveal onset of local crystallinity

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Sebastian C KapferGerd E Schröder-Turk

Abstract

The local structure of disordered jammed packings of monodisperse spheres without friction, generated by the Lubachevsky-Stillinger algorithm, is studied for packing fractions above and below 64%. The structural similarity of the particle environments to fcc or hcp crystalline packings (local crystallinity) is quantified by order metrics based on rank-four Minkowski tensors. We find a critical packing fraction φ(c)≈0.649, distinctly higher than previously reported values for the contested random close packing limit. At φ(c), the probability of finding local crystalline configurations first becomes finite and, for larger packing fractions, increases by several orders of magnitude. This provides quantitative evidence of an abrupt onset of local crystallinity at φ(c). We demonstrate that the identification of local crystallinity by the frequently used local bond-orientational order metric q(6) produces false positives and thus conceals the abrupt onset of local crystallinity. Since the critical packing fraction is significantly above results from mean-field analysis of the mechanical contacts for frictionless spheres, it is suggested that dynamic arrest due to isostaticity and the alleged geometric phase transition in the Edwards ...Continue Reading

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Citations

Jul 24, 2013·Nature Communications·Adrian BauleHernán A Makse
Feb 8, 2013·The Journal of Chemical Physics·Walter MickelKlaus Mecke
Apr 6, 2013·The Journal of Chemical Physics·Mathieu LeocmachHajime Tanaka
Aug 1, 2018·Soft Matter·Anaïs GiustinianiWiebke Drenckhan
Oct 8, 2013·Interface Focus·Walter MickelKlaus Mecke
Oct 22, 2013·Physical Review Letters·N FrancoisA Sheppard
Aug 27, 2014·Soft Matter·Vasili Baranau, Ulrich Tallarek
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Apr 12, 2014·Soft Matter·Vasili Baranau, Ulrich Tallarek
Jul 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M HanifpourM Saadatfar
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Sep 21, 2021·Soft Matter·Esma Kurban, Adrian Baule

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