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arXiv · 1008.2548

Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings

Chase E. Zachary·Yang Jiao·Salvatore Torquato
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Abstract

We show that quasi-long-range (QLR) pair correlations that decay asymptotically with scaling $r^{-(d+1)}$ in $d$-dimensional Euclidean space $\mathbb{R}^d$, trademarks of certain quantum systems and cosmological structures, are a universal signature of maximally random jammed (MRJ) hard-particle packings. We introduce a novel hyperuniformity descriptor in MRJ packings by studying local-volume-fraction fluctuations and show that infinite-wavelength fluctuations vanish even for packings with size- and shape-distributions. Special void statistics induce hyperuniformity and QLR pair correlations.

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Chase E. Zachary, Yang Jiao, Salvatore Torquato. 2011-04-08. Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings. https://doi.org/10.1103/physrevlett.106.178001

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