408 citations · 2.5k across the 26 of their papers we have counts for
17 papers · 1 filter
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…
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…
Statistical properties of determinantal point processes in high-dimensional Euclidean spaces
A. Scardicchio, C. E. Zachary, S. Torquato
The goal of this paper is to quantitatively describe some statistical properties of higher-dimensional determinantal point processes with a primary focus on the nearest-neighbor di…
Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory
Salvatore Torquato, A. Scardicchio, Chase E Zachary
It is well known that one can map certain properties of random matrices, fermionic gases, and zeros of the Riemann zeta function to a unique point process on the real line. Here we…
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…
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…