activity
20092025
most citedDense Packings of Polyhedra: Platonic and Archimedean Solids

181 citations · 1.1k across the 20 of their papers we have counts for

collaborators

20 papers

cond-mat.soft2025

Exotic Acoustic-Edge and Thermal Scaling in Disordered Hyperuniform Networks

Yang Jiao

We develop a first-principles theory for the vibrational density of states (VDOS) and thermal properties of network materials built on stationary correlated disordered point config…

cond-mat.mtrl-sci2019

Modeling and Reconstructing Complex Heterogeneous Materials From Lower-Order Spatial Correlation Functions Encoding Topological and Interface Statistics

Yang Jiao

The versatile physical properties of heterogeneous materials are intimately related to their complex microstructures, which can be statistically characterized and modelled using va…

cond-mat.str-el2017★ 23 cited

Signatures of van der Waals binding: a coupling-constant scaling analysis

Yang Jiao, Elsebeth Schröder, Per Hyldgaard

The van der Waals (vdW) density functional (vdW-DF) method [ROPP 78, 066501 (2015)] describes dispersion or vdW binding by tracking the effects of an electrodynamic coupling among…

cond-mat.stat-mech2014★ 50 cited

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…

cond-mat.stat-mech2014★ 14 cited

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…

cond-mat.stat-mech2013★ 24 cited

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…

cond-mat.stat-mech2012

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…

physics.bio-ph2012

Diversity of Dynamics and Morphologies of Invasive Solid Tumors

Yang Jiao, Sal Torquato

Complex tumor-host interactions can significantly affect the growth dynamics and morphologies of progressing neoplasms. The growth of a confined solid tumor induces mechanical pres…

physics.bio-ph2011★ 104 cited

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…

cond-mat.soft2011

Analytical Construction of A Dense Packing of Truncated Tetrahedra

Yang Jiao, Sal Torquato

Dense polyhedron packings are useful models of a variety of condensed matter and biological systems and have intrigued scientists mathematicians for centuries. Recently, organizing…

cond-mat.stat-mech2011★ 48 cited

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…

cond-mat.stat-mech2011★ 73 cited

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…

math.MG2011★ 18 cited

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…

cond-mat.stat-mech2010★ 116 cited

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…

cond-mat.stat-mech2010★ 47 cited

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…

cond-mat.stat-mech2010★ 52 cited

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…

cond-mat.stat-mech2010★ 108 cited

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…

math-ph2009★ 181 cited

Dense Packings of Polyhedra: Platonic and Archimedean Solids

S. Torquato, Y. Jiao

We formulate the problem of generating dense packings of nonoverlapping, non-tiling polyhedra within an adaptive fundamental cell subject to periodic boundary conditions as an opti…

math-ph2009★ 57 cited

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…

cond-mat.soft2009★ 159 cited

Optimal Packings of Superballs

Yang Jiao, Frank Stillinger, Sal Torquato

Dense hard-particle packings are intimately related to the structure of low-temperature phases of matter and are useful models of heterogeneous materials and granular media. Most s…