Hyperuniform states of matter are correlated systems that are characterized by an
anomalous suppression of long-wavelength (ie, large-length-scale) density fluctuations …

It has been shown numerically that systems of particles interacting with isotropic “stealthy”
bounded long-ranged pair potentials (similar to Friedel oscillations) have classical ground …

Disordered many-particle hyperuniform systems are exotic amorphous states of matter that
lie between crystal and liquid: They are like perfect crystals in the way they suppress large …

Disordered hyperuniform materials are an emerging class of exotic amorphous states of
matter that endow them with singular physical properties, including large isotropic photonic …

Systems of particles interacting with “stealthy” pair potentials have been shown to possess
infinitely degenerate disordered hyperuniform classical ground states with novel physical …

Hyperuniform many-particle systems are characterized by a structure factor S (k) that is
precisely zero as| k|→ 0; and stealthy hyperuniform systems have S (k)= 0 for the finite range …

The concept of hyperuniformity has been a useful tool in the study of density fluctuations at
large length scales in systems ranging across the natural and mathematical sciences. One …

In the first paper of this series [DiStasio, Jr., Marcotte, Car, Stillinger, and Torquato, Phys.
Rev. B 88, 134104 (2013) 10.1103/PhysRevB. 88.134104], we applied inverse statistical …

This dissertation presents studies on several statistical-mechanical problems, many of which
involve exotic many-particle systems. In Chapter 2, we present an algorithm to generate …