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Condensed Matter > Statistical Mechanics
Title: Ordered and disordered stealthy hyperuniform point patterns across spatial dimensions
(Submitted on 25 Apr 2024 (v1), last revised 28 Apr 2024 (this version, v2))
Abstract: In previous work [Phys. Rev. X 5, 021020 (2015)], it was shown that stealthy hyperuniform systems can be regarded as hard spheres in Fourier-space in the sense that the the structure factor is exactly zero in a spherical region around the origin in analogy with the pair-correlation function of real-space hard spheres. In this work, we exploit this correspondence to confirm that the densest Fourier-space hard-sphere system is that of a Bravais lattice. This is in contrast to real-space hard-spheres, whose densest configuration is conjectured to be disordered. We also extend the virial series previously suggested for disordered stealthy hyperuniform systems to higher dimensions in order to predict spatial decorrelation as function of dimension. This prediction is then borne out by numerical simulations of disordered stealthy hyperuniform ground states in dimensions $d=2$-$8$.
Submission history
From: Peter Morse [view email][v1] Thu, 25 Apr 2024 17:58:16 GMT (675kb,D)
[v2] Sun, 28 Apr 2024 20:48:14 GMT (675kb,D)
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