Impact of Random Spatial Truncation and Reciprocal-Space Binning on the Detection of Hyperuniformity in Disordered Systems
arXiv:2511.15009 · doi:10.1063/5.0319121
Abstract
We study how finite-window sampling (random spatial truncation) and reciprocal-space radial binning influence the detection of hyperuniformity in disordered systems. Using thirteen representative two-dimensional simulation systems (two stealthy hyperuniform systems with distinct constraint parameters and ; hyperuniform Gaussian pair statistics system; six hyperuniform targeted systems with distinct alpha=0.5, 0.7, 1.0, 1.3, 1.5, 3.0, random sequential addition system; Poisson points distribution system; Lennard-Jones fluid system and Yukawa fluid system) and two real biological systems (avian photoreceptor patterns and looped leaf vein networks) We find that moderate random spatial truncation (i.e., randomly extracting a smaller subwindow from the original full-field configuration) does not change qualitatively the hyperuniformity classification of the systems. Specifically, disordered hyperuniform systems retain their respective hyperuniformity classes despite a modest reduction in measured hyperuniformity exponent alpha (i.e., reduction in small-k suppression). Moreover, spatial truncation commonly induces configuration-dependent fluctuations of small-k values of S(k). We show that modest reciprocal-space radial pooling (controlled by a binning parameter m) effectively smooths such spurious wiggles without changing the hyperuniformity class. Practical guidelines for choosing m, cross-checking spectral fits with the local number variance scaling, and increasing effective sampling are provided. These results provide concrete, low-cost and effective methodology for robust spectral detection of hyperuniformity in finite and truncated datasets which abound in experimental systems.
arXiv comment16 pages, 6 figures, 5 tables
References in corpus (36)
- Local Density Fluctuations, Hyperuniformity, and Order Metrics
- Designer disordered materials with large complete photonic band gaps
- Hyperuniform States of Matter
- Avian photoreceptor patterns represent a disordered hyperuniform solution to a multiscale packing problem
- Hyperuniformity in point patterns and two-phase random heterogeneous media
- Transport Phase Diagram and Anderson Localization in Hyperuniform Disordered Photonic Materials
- Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings
- How a well-adapted immune system is organized
- Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast
- Ensemble Theory for Stealthy Hyperuniform Disordered Ground States
- Designing Disordered Hyperuniform Two-Phase Materials with Novel Physical Properties
- Suppressed compressibility at large scale in jammed packings of size disperse spheres
- Transport, Geometrical and Topological Properties of Stealthy Disordered Hyperuniform Two-Phase Systems
- Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle packings. I. Polydisperse spheres
- Experimental Tuning of Transport Regimes in Hyperuniform Disordered Photonic Materials
- Stone-Wales Defects Preserve Hyperuniformity in Amorphous Two-Dimensional Materials
- Disordered Hyperuniform Heterogeneous Materials
- Anomalous local coordination, density fluctuations, and void statistics in disordered hyperuniform many-particle ground states
- Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle packings. II. Anisotropy in particle shape
- Enhanced Pinning For Vortices in Hyperuniform Substrates and Emergent Hyperuniform Vortex States
- Generalized stealthy hyperuniform processes : maximal rigidity and the bounded holes conjecture
- Hidden Multiscale Order in the Primes
- Long wavelength structural anomalies in jammed systems
- Methodology to Construct Large Realizations of Perfectly Hyperuniform Disordered Packings
- Hyperuniform point sets on the sphere: deterministic constructions
- Dynamic Measure of Hyperuniformity and Nonhyperuniformity in Heterogeneous Media via the Diffusion Spreadability
- Realizable hyperuniform and nonhyperuniform particle configurations with targeted spectral functions via effective pair interactions
- Hyperuniform point sets on the sphere: probabilistic aspects
- Anomalous suppression of large-scale density fluctuations in classical and quantum spin liquids
- Local order metrics for many-particle systems across length scales
- Emergent properties and the multiscale characterization challenge in condensed matter, from crystals to complex materials: a Review
- Hyperuniformity scaling of maximally random jammed packings of two-dimensional binary disks
- Characterizing the Hyperuniformity of Disordered Network Metamaterials
- Hyperdisordered cell packing on a growing surface
- Percolation of systems having hyperuniformity or giant number-fluctuations
- Quantifying when hyperuniformity of a many-particle system leads to uniformity across length scales