771 citations · 12.9k across the 162 of their papers we have counts for
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Dense Packings of Superdisks and the Role of Symmetry
Y. Jiao, F. H. Stillinger, S. Torquato
We construct the densest known two-dimensional packings of superdisks in the plane whose shapes are defined by |x^(2p) + y^(2p)| <= 1, which contains both convex-shaped particles (…
Tilings of space and superhomogeneous point processes
Andrea Gabrielli, Michael Joyce, Salvatore Torquato
We consider the construction of point processes from tilings, with equal volume tiles, of d-dimensional Euclidean space. We show that one can generate, with simple algorithms ascri…
Synthetic Diamond and Wurtzite Structures Self-Assemble with Isotropic Pair Interactions
Mikael C. Rechtsman, Frank H. Stillinger, Salvatore Torquato
Using inverse statistical-mechanical optimization techniques, we have discovered isotropic pair interaction potentials with strongly repulsive cores that cause the tetrahedrally co…
Effective Dielectric Tensor for Electromagnetic Wave Propagation in Random Media
Mikael C. Rechtsman, Salvatore Torquato
We derive exact strong-contrast expansions for the effective dielectric tensor $\epeff$ of electromagnetic waves propagating in a two-phase composite random medium with isotropic c…
Modeling Heterogeneous Materials via Two-Point Correlation Functions: I. Basic Principles
Y. Jiao, F. H. Stillinger, S. Torquato
Heterogeneous materials abound in nature and man-made situations. Examples include porous media, biological materials, and composite materials. Diverse and interesting properties e…