53 citations · 56 across the 4 of their papers we have counts for
6 papers
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…
Neighbor List Collision-Driven Molecular Dynamics Simulation for Nonspherical Particles. I. Algorithmic Details II. Applications to Ellipses and Ellipsoids
Aleksandar Donev, Salvatore Torquato, Frank H. Stillinger
In the first part of a series of two papers, we present in considerable detail a collision-driven molecular dynamics algorithm for a system of nonspherical particles, within a para…
A Linear Programming Algorithm to Test for Jamming in Hard-Sphere Packings
Aleksandar Donev, Salvatore Torquato, Frank H. Stillinger +1
Jamming in hard-particle packings has been the subject of considerable interest in recent years. In a paper by Torquato and Stillinger [J. Phys. Chem. B, 105 (2001)], a classificat…
Controlling the Short-Range Order and Packing Densities of Many-Particle Systems
S. Torquato, F. H. Stillinger
Questions surrounding the spatial disposition of particles in various condensed-matter systems continue to pose many theoretical challenges. This paper explores the geometric avail…
Triangle Distribution and Equation of State for Classical Rigid Disks
Dorothea K. Stillinger, Frank H. Stillinger, Salvatore Torquato +2
The triangle distribution function f^(3) for three mutual nearest neighbors in the plane describes basic aspects of short-range order and statistical thermodynamics in two-dimensio…
Density of States Approach to Electric Field Fluctuations in Composite Media
D. Cule, S. Torquato
Spatial fluctuations of the local electric field induced by a constant applied electric field in composite media are studied analytically and numerically. It is found that the dens…