771 citations · 12.9k across the 162 of their papers we have counts for
17 papers · 1 filter
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…
Effects of Random Link Removal on the Photonic Band Gaps of Honeycomb Networks
Marian Florescu, Salvatore Torquato, Paul J. Steinhardt
We explore the effects of random link removal on the photonic band gaps of honeycomb networks. Missing or incomplete links are expected to be common in practical realizations of th…
Optimized Monotonic Convex Pair Potentials Stabilize Low-Coordinated Crystals
Etienne Marcotte, Frank H. Stillinger, Salvatore Torquato
We have previously used inverse statistical-mechanical methods to optimize isotropic pair interactions with multiple extrema to yield low-coordinated crystal classical ground state…
Novel Ground-State Crystals with Controlled Vacancy Concentrations: From Kagomé to Honeycomb to Stripes
Robert D. Batten, David A. Huse, Frank H. Stillinger +1
We introduce a one-parameter family, , of pair potential functions with a single relative energy minimum that stabilize a range of vacancy-riddled crystals as grou…
Densest local packing diversity. II. Application to three dimensions
Adam B. Hopkins, Frank H. Stillinger, Salvatore Torquato
The densest local packings of N three-dimensional identical nonoverlapping spheres within a radius Rmin(N) of a fixed central sphere of the same size are obtained for selected valu…
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…
Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
Salvatore Torquato, Frank H. Stillinger
This review describes the diversity of jammed configurations attainable by frictionless convex nonoverlapping (hard) particles in Euclidean spaces and for that purpose it stresses…
Robust Algorithm to Generate a Diverse Class of Dense Disordered and Ordered Sphere Packings via Linear Programming
Sal Torquato, Yang Jiao
We have formulated the problem of generating periodic dense paritcle packings as an optimization problem called the Adaptive Shrinking Cell (ASC) formulation [S. Torquato and Y. Ji…
Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings
Chase E. Zachary, Yang Jiao, Salvatore Torquato
We show that quasi-long-range (QLR) pair correlations that decay asymptotically with scaling in -dimensional Euclidean space , trademarks of certain q…
Complete Band Gaps in 2D Photonic Quasicrystals
Marian Florescu, Salvatore Torquato, Paul J. Steinhardt
We introduce a novel optimization method to design the first examples of photonic quasicrystals with substantial, complete photonic band gaps (PBGs): that is, a range of frequencie…
Designer disordered materials with large complete photonic band gaps
Marian Florescu, Salvatore Torquato, Paul J. Steinhardt
We present designs of 2D isotropic, disordered photonic materials of arbitrary size with complete band gaps blocking all directions and polarizations. The designs with the largest…
Geometrical Ambiguity of Pair Statistics. II. Heterogeneous Media
Yang Jiao, Frank H. Stillinger, Sal Torquato
In a previous paper [Jiao, Stillinger and Torquato, PRE 81, 011105 (2010)], we considered the geometrical ambiguity of pair statistics associated with point configurations. Here we…
Phase Behavior of Colloidal Superballs: Shape Interpolation from Spheres to Cubes
Robert D. Batten, Frank H. Stillinger, Salvatore Torquato
The phase behavior of hard superballs is examined using molecular dynamics within a deformable periodic simulation box. A superball's interior is defined by the inequality $|x|^{2q…
Spherical codes, maximal local packing density, and the golden ratio
A. B. Hopkins, F. H. Stillinger, S. Torquato
The densest local packing (DLP) problem in d-dimensional Euclidean space Rd involves the placement of N nonoverlapping spheres of unit diameter near an additional fixed unit-diamet…
Densest local sphere-packing diversity: General concepts and application to two dimensions
A. B. Hopkins, F. H. Stillinger, S. Torquato
The densest local packings of N identical nonoverlapping spheres within a radius Rmin(N) of a fixed central sphere of the same size are obtained using a nonlinear programming metho…
Novel Features Arising in the Maximally Random Jammed Packings of Superballs
Y. Jiao, F. H. Stillinger, S. Torquato
Dense random packings of hard particles are useful models of granular media and are closely related to the structure of nonequilibrium low-temperature amorphous phases of matter. M…
Analytical Constructions of a Family of Dense Tetrahedron Packings and the Role of Symmetry
S. Torquato, Y. Jiao
The determination of the densest packings of regular tetrahedra (one of the five Platonic solids) is attracting great attention as evidenced by the rapid pace at which packing reco…