Large density fluctuations observed in active systems and hyperuniformity are two
seemingly incompatible phenomena. However, the formation of hyperuniform states has …

Materials featuring anomalous suppression of density fluctuations over large length scales
are emerging systems known as disordered hyperuniform. The underlying hidden order …

The local number variance σ 2 (R) associated with a spherical sampling window of radius R
enables a classification of many-particle systems in d-dimensional Euclidean space R d …

Fabrication and scaling of disordered hyperuniform materials remain hampered by the
difficulties in controlling the spontaneous phenomena leading to this novel kind of exotic …

Finite-size effects in the static structure factor S (k) are analyzed for an amorphous
substance. As the number of particles is reduced, S (0) increases greatly, up to an order of …

Especially small values of the static structure factor S (k) at long wavelengths, ie, small k,
were obtained in an analysis of experimental data, for a two-dimensional dusty plasma in its …

Self-assembly, the process by which interacting components form well-defined and often
intricate structures, is typically thought of as a spontaneous process arising from equilibrium …

The Zhang–Torquato conjecture [G. Zhang and S. Torquato, Phys. Rev. E, 2020, 101,
032124.] states that any realizable pair correlation function g2 (r) or structure factor S (k) of a …

We simultaneously designed the porosity and plane symmetry of self-assembling colloidal
films by using isohedral tiles to determine the location and shape of enthalpically interacting …

Hyperuniform states of matter exhibit unusual suppression of density fluctuations at large
scales, contrasting sharply with typical disordered configurations. Various types of …