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

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.

10 pages, 3 figures; changes to figures and text based on review process; accepted for publication at Phys. Rev. Lett

References in corpus (9)

• Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
• Designer disordered materials with large complete photonic band gaps
• Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials
• Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory
• Suppressed compressibility at large scale in jammed packings of size disperse spheres
• Statistical properties of determinantal point processes in high-dimensional Euclidean spaces
• Toward the Jamming Threshold of Sphere Packings: Tunneled Crystals
• Reformulation of the Covering and Quantizer Problems as Ground States of Interacting Particles
• Tilings of space and superhomogeneous point processes

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