408 citations · 2.5k across the 26 of their papers we have counts for
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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…
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…