771 citations · 12.9k across the 162 of their papers we have counts for
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Hyperuniformity in point patterns and two-phase random heterogeneous media
Chase E. Zachary, Salvatore Torquato
Hyperuniform point patterns are characterized by vanishing infinite wavelength density fluctuations and encompass all crystal structures, certain quasi-periodic systems, and specia…
Dense Packings of the Platonic and Archimedean Solids
S. Torquato, Y. Jiao
Dense packings have served as useful models of the structure of liquid, glassy and crystal states of matter, granular media, heterogeneous materials, and biological systems. Probin…
Geometrical Ambiguity of Pair Statistics. I. Point Configurations
Y. Jiao, F. H. Stillinger, S. Torquato
Point configurations have been widely used as model systems in condensed matter physics, materials science and biology. Statistical descriptors such as the -body distribution fu…
Novel Low-Temperature Behavior in Classical Many-Particle Systems
Robert D. Batten, Frank H. Stillinger, Salvatore Torquato
We show that classical many-particle systems interacting with certain soft pair interactions in two dimensions exhibit novel low-temperature behaviors. Ground states span from diso…
Dense sphere packings from optimized correlation functions
Adam B. Hopkins, Frank H. Stillinger, Salvatore Torquato
Elementary smooth functions (beyond contact) are employed to construct pair correlation functions that mimic jammed disordered sphere packings. Using the g2-invariant optimization…