Disordered hyperuniform structures are an exotic state of matter having suppressed density
fluctuations at large length-scale similar to perfect crystals and quasicrystals but without any …

A variety of performance demands are being placed on material systems, including
desirable mechanical, thermal, electrical, optical, acoustic and flow properties. The purpose …

Disordered hyperuniform structures are locally random while uniform like crystals at large
length scales. Recently, an exotic hyperuniform fluid state was found in several …

Random, uncorrelated displacements of particles on a lattice preserve the hyperuniformity of
the original lattice, that is, normalized density fluctuations vanish in the limit of infinite …

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 highlight the importance of long-range correlations in active matter systems of dilute self-
propelling particles even in the absence of global order by demonstrating that long-range …

Disordered hyperuniformity (DHU) is one of the most prominent manifestations of the
engineered disorder, which aims to circumvent limitations commonly related to order …

Time-dependent interphase diffusion processes in multiphase heterogeneous media are
ubiquitous phenomena in physics, chemistry and biology. Examples of heterogeneous …

Randomly organizing hyperuniform fluid induced by reciprocal activation is a non-
equilibrium fluid with vanishing density fluctuations at large length scales such as crystals …

We characterize the steady-state static and dynamic properties in a broad class of mass
transport processes on a periodic hypercubic lattice of volume L d, where both the mass and …