771 citations · 12.9k across the 162 of their papers we have counts for
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Random Sequential Addition of Hard Spheres in High Euclidean Dimensions
S. Torquato, O. U. Uche, F. H. Stillinger
Employing numerical and theoretical methods, we investigate the structural characteristics of random sequential addition (RSA) of congruent spheres in -dimensional Euclidean spa…
Packing Hyperspheres in High-Dimensional Euclidean Spaces
M. Skoge, A. Donev, F. H. Stillinger +1
We present the first study of disordered jammed hard-sphere packings in four-, five- and six-dimensional Euclidean spaces. Using a collision-driven packing generation algorithm, we…
Hypoconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids
A. Donev, R. Connelly, F. H. Stillinger +1
Continuing on recent computational and experimental work on jammed packings of hard ellipsoids [Donev et al., Science, vol. 303, 990-993] we consider jamming in packings of smooth…
Self-assembly of the simple cubic lattice with an isotropic potential
Mikael C. Rechtsman, Frank H. Stillinger, Salvatore Torquato
Conventional wisdom presumes that low-coordinated crystal ground states require directional interactions. Using our recently introduced optimization procedure to achieve self-assem…
Necessary Conditions on Realizable Two-Point Correlation Functions of Random Media
Salvatore Torquato
A fascinating inverse problem that has been receiving considerable attention is the construction of realizations of random two-phase heterogeneous media with a target two-point cor…
Collective Coordinate Control of Density Distributions
Obioma Uche, Salvatore Torquato, Frank Stillinger
Real collective density variables [c.f. Eq.\ref{Equation3})] in many-particle systems arise from non-linear transformations of particle positions, and determine…
A Variational Level Set Approach for Surface Area Minimization of Triply Periodic Surfaces
Youngjean Jung, Kevin T. Chu, Salvatore Torquato
In this paper, we study triply periodic surfaces with minimal surface area under a constraint in the volume fraction of the regions (phases) that the surface separates. Using a var…
Designed Interaction Potentials via Inverse Methods for Self-Assembly
Mikael C. Rechtsman, Salvatore Torquato, Frank H. Stillinger
We formulate statistical-mechanical inverse methods in order to determine optimized interparticle interactions that spontaneously produce target many-particle configurations. Motiv…
Do Binary Hard Disks Exhibit an Ideal Glass Transition?
A. Donev, F. H. Stillinger, S. Torquato
We demonstrate that there is no ideal glass transition in a binary hard-disk mixture by explicitly constructing an exponential number of jammed packings with densities spanning the…