771 citations · 12.9k across the 162 of their papers we have counts for
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Inverse Optimization Techniques for Targeted Self-Assembly
Salvatore Torquato
This article reviews recent inverse statistical-mechanical methodologies that we have devised to optimize interaction potentials in soft matter systems that correspond to stable "t…
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…
Negative Poisson's ratio materials via isotropic interactions
Mikael C. Rechtsman, Frank H. Stillinger, Salvatore Torquato
We show that under tension, a classical many-body system with only isotropic pair interactions in a crystalline state can, counterintutively, have a negative Poisson's ratio, or au…
Negative thermal expansion in single-component systems with isotropic interactions
Mikael C. Rechtsman, Frank H. Stillinger, Salvatore Torquato
We have devised an isotropic interaction potential that gives rise to negative thermal expansion (NTE) behavior in equilibrium many-particle systems in both two and three dimension…
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…
Modeling Heterogeneous Materials via Two-Point Correlation Functions: II. Algorithmic Details and Applications
Y. Jiao, F. H. Stillinger, S. Torquato
In the first part of this series of two papers, we proposed a theoretical formalism that enables one to model and categorize heterogeneous materials (media) via two-point correlati…