159 citations · 906 across the 19 of their papers we have counts for
5 papers · 1 filter
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…
New Duality Relations for Classical Ground States
S. Torquato, F. H. Stillinger
We derive new duality relations that link the energy of configurations associated with a class of soft pair potentials to the corresponding energy of the dual (Fourier-transformed)…
Toward the Jamming Threshold of Sphere Packings: Tunneled Crystals
S. Torquato, F. H. Stillinger
We have discovered a new family of three-dimensional crystal sphere packings that are strictly jammed (i.e., mechanically stable) and yet possess an anomalously low density. This f…
Fluid Permeabilities of Triply Periodic Minimal Surfaces
Y. Jung, S. Torquato
It has recently been shown that triply periodic two-phase bicontinuous composites with interfaces that are the Schwartz primitive (P) and diamond (D) minimal surfaces are not only…
Exactly Solvable Disordered Sphere-Packing Model in Arbitrary-Dimension Euclidean Spaces
S. Torquato, F. H. Stillinger
We introduce a generalization of the well-known random sequential addition (RSA) process for hard spheres in -dimensional Euclidean space . We show that all of the…