205 citations · 878 across the 11 of their papers we have counts for
11 papers
Improved reconstructions of random media using dilation and erosion processes
Chase E. Zachary, Salvatore Torquato
By using the most sensitive two-point correlation functions introduced to date, we reconstruct the microstructures of two-phase random media with heretofore unattained accuracy. Su…
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…
Anomalous local coordination, density fluctuations, and void statistics in disordered hyperuniform many-particle ground states
Chase E. Zachary, Salvatore Torquato
We provide numerical constructions of one-dimensional hyperuniform many-particle distributions that exhibit unusual clustering and asymptotic local number density fluctuations grow…
Duality Relations for the Classical Ground States of Soft-Matter Systems
Salvatore Torquato, Chase E. Zachary, Frank H. Stillinger
Bounded interactions are particularly important in soft-matter systems, such as colloids, microemulsions, and polymers. We derive new duality relations for a class of soft potentia…