activity
19992011
most citedPacking Hyperspheres in High-Dimensional Euclidean Spaces

408 citations · 2.7k across the 31 of their papers we have counts for

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Showing cond-mat.stat-mechShow all

20 papers · 1 filter

cond-mat.stat-mech201153 cited

Non-Universality of Density and Disorder in Jammed Sphere Packings

Yang Jiao, Frank H. Stillinger, Sal Torquato

We show for the first time that collectively jammed disordered packings of three-dimensional monodisperse frictionless hard spheres can be produced and tuned using a novel numerica…

cond-mat.stat-mech2010

Optimized Monotonic Convex Pair Potentials Stabilize Low-Coordinated Crystals

Etienne Marcotte, Frank H. Stillinger, Salvatore Torquato

We have previously used inverse statistical-mechanical methods to optimize isotropic pair interactions with multiple extrema to yield low-coordinated crystal classical ground state…

cond-mat.stat-mech20091 cited

Novel Low-Temperature Behavior in Classical Many-Particle Systems

Robert D. Batten, Frank H. Stillinger, Salvatore Torquato

We show that classical many-particle systems interacting with certain soft pair interactions in two dimensions exhibit novel low-temperature behaviors. Ground states span from diso…

cond-mat.stat-mech200916 cited

Dense sphere packings from optimized correlation functions

Adam B. Hopkins, Frank H. Stillinger, Salvatore Torquato

Elementary smooth functions (beyond contact) are employed to construct pair correlation functions that mimic jammed disordered sphere packings. Using the g2-invariant optimization…

cond-mat.stat-mech200838 cited

Gaussian core model phase diagram and pair correlations in high Euclidean dimensions

Chase E. Zachary, Frank H. Stillinger, Salvatore Torquato

The physical properties of a classical many-particle system with interactions given by a repulsive Gaussian pair potential are extended to arbitrarily high Euclidean dimensions. Th…

cond-mat.stat-mech2008180 cited

Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials

Robert D. Batten, Frank H. Stillinger, Salvatore Torquato

Using a collective coordinate numerical optimization procedure, we construct ground-state configurations of interacting particle systems in various space dimensions so that the sca…