181 citations · 1.1k across the 20 of their papers we have counts for
10 papers · 1 filter
Maximally dense packings of two-dimensional convex and concave noncircular particles
Steven Atkinson, Yang Jiao, Salvatore Torquato
Dense packings of hard particles have important applications in many fields, including condensed matter physics, discrete geometry and cell biology. In this paper, we employ a stoc…
Dense periodic packings of tori
Ruggero Gabbrielli, Yang Jiao, Salvatore Torquato
Dense packings of nonoverlapping bodies in three-dimensional Euclidean space are useful models of the structure of a variety of many-particle systems that arise in the physical and…
Effect of Dimensionality on the Percolation Thresholds of Various -Dimensional Lattices
Salvatore Torquato, Yang Jiao
We show analytically that the , and Pad{é} approximants of the mean cluster number for site and bond percolation on general -dimensional lattices a…
Microstructural Degeneracy associated with a Two-Point Correlation Function and its Information Content
Cedric J. Gommes, Yang Jiao, Salvatore Torquato
Two-point correlation functions provide crucial yet incomplete characterization of microstructures because different microstructures may have the same correlation function. In an e…
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…
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…
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…
Exact Constructions of a Family of Dense Periodic Packings of Tetrahedra
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…
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…