771 citations · 12.9k across the 162 of their papers we have counts for
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Designed Diamond Ground State via Optimized Isotropic Monotonic Pair Potentials
Etienne Marcotte, Frank H. Stillinger, Salvatore Torquato
We apply inverse statistical-mechanical methods to find a simple family of optimized isotropic, monotonic pair potentials, under certain constraints, whose ground states for a wide…
Exotic Ground States of Directional Pair Potentials via Collective-Density Variables
Stephen Martis, Étienne Marcotte, Frank H. Stillinger +1
Collective-density variables have proved to be a useful tool in the prediction and manipulation of how spatial patterns form in the classical many-body problem. Previous work has e…
Nonequilibrium static growing length scales in supercooled liquids on approaching the glass transition
Étienne Marcotte, Frank H. Stillinger, Salvatore Torquato
The small wavenumber behavior of the structure factor of overcompressed amorphous hard-sphere configurations was previously studied for a wide range of densities up to t…
Organizing Principles for Dense Packings of Nonspherical Hard Particles: Not All Shapes Are Created Equal
Salvatore Torquato, Yang Jiao
We have recently devised organizing principles to obtain maximally dense packings of the Platonic and Archimedean solids, and certain smoothly-shaped convex nonspherical particles…
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…
Nonequilibrium static diverging length scales on approaching a prototypical model glassy state
Adam B. Hopkins, Frank H. Stillinger, Salvatore Torquato
Maximally random jammed states of hard spheres are prototypical glasses. We study the small wavenumber behavior of the structure factor of overcompressed million-sphere…
Density of States for a Specified Correlation Function and the Energy Landscape
Cedric Gommes, Yang Jiao, Salvatore Torquato
The degeneracy of two-phase disordered microstructures consistent with a specified correlation function is analyzed by mapping it to a ground-state degeneracy. We determine for the…
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…
Improved reconstructions of random media using dilation and erosion processes
Chase E. Zachary, Salvatore Torquato
By using the most sensitive two-point correlation functions introduced to date, we reconstruct the microstructures of two-phase random media with heretofore unattained accuracy. Su…
A Superior Descriptor of Random Textures and Its Predictive Capacity
Yang Jiao, Sal Torquato, Frank H. Stillinger
Two-phase random textures abound in a host of contexts, porous and composite media, ecological structures, biological media and astrophysical structures. Questions surrounding the…