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19982026
most citedJammed Hard-Particle Packings: From Kepler to Bernal and Beyond

771 citations · 12.9k across the 162 of their papers we have counts for

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Showing 2005Show all

5 papers · 1 filter

cond-mat.stat-mech2005★ 164 cited

Tetratic Order in the Phase Behavior of a Hard-Rectangle System

A. Donev, J. Burton, F. H. Stillinger +1

Previous Monte Carlo investigations by Wojciechowski \emph{et al.} have found two unusual phases in two-dimensional systems of anisotropic hard particles: a tetratic phase of four-…

cond-mat.soft2005★ 154 cited

Optimized Interactions for Targeted Self-Assembly: Application to Honeycomb Lattice

Mikael Rechtsman, Frank Stillinger, Salvatore Torquato

We devise an inverse statistical-mechanical methodology to find optimized interaction potentials that lead spontaneously to a target many-particle configuration. Target structures…

math.MG2005

New Conjectural Lower Bounds on the Optimal Density of Sphere Packings

S. Torquato, F. H. Stillinger

Sphere packings in high dimensions interest mathematicians and physicists and have direct applications in communications theory. Remarkably, no one has been able to provide exponen…

cond-mat.mtrl-sci2005★ 53 cited

Comment on "Jamming at zero temperature and zero applied stress: The epitome of disorder"

A. Donev, S. Torquato, F. H. Stillinger +1

O'Hern, Silbert, Liu and Nagel [Phys. Rev. E. 68, 011306 (2003)] (OSLN) claim that a special point of a "jamming phase diagram" (in density, temperature, stress space) is relat…

cond-mat.stat-mech2005★ 271 cited

Unexpected Density Fluctuations in Jammed Disordered Sphere Packings

A. Donev, F. H. Stillinger, S. Torquato

We computationally study jammed disordered hard-sphere packings as large as a million particles. We show that the packings are saturated and hyperuniform, i.e., that local density…