771 citations · 12.9k across the 162 of their papers we have counts for
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Densest binary sphere packings
Adam B. Hopkins, Frank H. Stillinger, Salvatore Torquato
The densest binary sphere packings in the alpha-x plane of small to large sphere radius ratio alpha and small sphere relative concentration x have historically been very difficult…
Emergent Behaviors from A Cellular Automaton Model for Invasive Tumor Growth in Heterogeneous Microenvironments
Yang Jiao, Salvatore Torquato
Understanding tumor invasion and metastasis is of crucial importance for both fundamental cancer research and clinical practice. In vitro experiments have established that the inva…
Phase diagram and structural diversity of the densest binary sphere packings
Adam B. Hopkins, Yang Jiao, Frank H. Stillinger +1
The densest binary sphere packings have historically been very difficult to determine. The only rigorously known packings in the alpha-x plane of sphere radius ratio alpha and rela…
Inherent Structures for Soft Long-Range Interactions in Two-Dimensional Many-Particle Systems
Robert D. Batten, Frank H. Stillinger, Salvatore Torquato
We generate inherent structures, local potential-energy minima, of the "-space overlap potential" in two-dimensional many-particle systems using a cooling and quenching simulati…
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…
Rigidity of spherical codes
Henry Cohn, Yang Jiao, Abhinav Kumar +1
A packing of spherical caps on the surface of a sphere (that is, a spherical code) is called rigid or jammed if it is isolated within the space of packings. In other words, aside f…
Non-Universality of Density and Disorder in Jammed Sphere Packings
Yang Jiao, Frank H. Stillinger, Sal Torquato
We show for the first time that collectively jammed disordered packings of three-dimensional monodisperse frictionless hard spheres can be produced and tuned using a novel numerica…