2025/04/23 by Jaeuk Kim, Salvatore Torquato, Kim, Jaeuk +1 · 2 citations
Engineering · #Adhesion, Friction, and Surface Interactions #Advanced Fiber Optic Sensors #Advanced Numerical Analysis Techniques #Computational Physics (physics.comp-ph) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft)
paper · pdf · doi:10.48550/arxiv.2504.16924
openalex publication_date 2025/04/23 · openalex created_date 2025/10/11 · openalex updated_date 2026/07/28
Disordered stealthy hyperuniform (SHU) packings are an emerging class of exotic amorphous two-phase materials endowed with novel physical properties. Such packings of identical spheres have been created from SHU point patterns via a modified collective-coordinate optimization scheme that includes a soft-core repulsion, besides the standard `stealthy' pair potential. Using the distributions of minimum pair distances and nearest-neighbor distances, we find that when the stealthiness parameter χ is lower than 0.5, the maximal values of ϕ, denoted by ϕmax, decrease to zero on average as the particle number N increases if there are no soft-core repulsions. By contrast, the inclusion of soft-core repulsions results in very large ϕmax independent of N, reaching up to ϕmax=1.0, 0.86, 0.63 in the zero-χ limit and decreasing to ϕmax=1.0, 0.67, 0.47 at χ=0.45 for d=1,2,3, respectively. We obtain explicit formulas for ϕmax as functions of χ and N for a given d. For d=2,3, our soft-core SHU packings for small χ become configurationally very close to the jammed hard-particle packings created by fast compression algorithms, as measured by the pair statistics. As χ increases beyond 0.20, the packings form fewer contacts and linear polymer-like chains. The resulting structure factors S(k) and pair correlation functions g2(r) reveal that soft-core repulsions significantly alter the short- and intermediate-range correlations in the SHU ground states. We also compute the spectral density χV(k), which can be used to estimate various physical properties (e.g., electromagnetic properties, fluid permeability, and mean survival time) of SHU two-phase dispersions. Our results offer a new route for discovering novel disordered hyperuniform two-phase materials with unprecedentedly high density.