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

TL;DR

This paper demonstrates that hyperuniform long-range correlations characterized by quasi-long-range pair correlations are a universal feature of maximally random jammed hard-particle packings, revealing a new hyperuniformity descriptor linked to void statistics.

Contribution

The study introduces a novel hyperuniformity descriptor based on local-volume-fraction fluctuations and establishes the universality of QLR correlations in MRJ packings.

Findings

QLR pair correlations decay as r^{-(d+1)} in MRJ packings

Infinite-wavelength fluctuations vanish in these packings

Void statistics induce hyperuniformity and correlations

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.