205 citations · 878 across the 11 of their papers we have counts for
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High-dimensional generalizations of the kagome and diamond crystals and the decorrelation principle for periodic sphere packings
Chase E. Zachary, Salvatore Torquato
In this paper, we introduce constructions of the high-dimensional generalizations of the kagome and diamond crystals. The two-dimensional kagome crystal and its three-dimensional c…
Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle packings. II. Anisotropy in particle shape
Chase E. Zachary, Yang Jiao, Salvatore Torquato
We extend the results from the first part of this series of two papers by examining hyperuniformity in heterogeneous media composed of impenetrable anisotropic inclusions. Specific…
Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle packings. I. Polydisperse spheres
Chase E. Zachary, Yang Jiao, Salvatore Torquato
Hyperuniform many-particle distributions possess a local number variance that grows more slowly than the volume of an observation window, implying that the local density is effecti…