# Multifunctional hyperuniform cellular networks: optimality, anisotropy and disorder

@article{Torquato2018MultifunctionalHC, title={Multifunctional hyperuniform cellular networks: optimality, anisotropy and disorder}, author={Salvatore Torquato and Duyu Chen}, journal={Multifunctional Materials}, year={2018} }

Disordered hyperuniform heterogeneous materials are new, exotic amorphous states of matter that behave like crystals in the manner in which they suppress volume-fraction fluctuations at large length scales, and yet are statistically isotropic with no Bragg peaks. It has recently been shown that disordered hyperuniform dielectric two-dimensional cellular network solids possess complete photonic band gaps comparable in size to photonic crystals, while at the same time maintaining statistical…

## Figures and Tables from this paper

## 15 Citations

Methodology to construct large realizations of perfectly hyperuniform disordered packings.

- Physics, MedicinePhysical review. E
- 2019

It is proved that the constructed packings with a polydispersity in size are perfectly hyperuniform in the infinite-sample-size limit, regardless of particle shapes, positions, and numbers per cell.

New tessellation-based procedure to design perfectly hyperuniform disordered dispersions for materials discovery

- Physics, Materials ScienceActa Materialia
- 2019

Abstract Disordered hyperuniform dispersions are exotic amorphous two-phase materials characterized by an anomalous suppression of long-wavelength volume-fraction fluctuations, which endows them with…

Hyperuniformity of expected equilibrium density distributions of Brownian particles via designer external potentials

- PhysicsPhysica A: Statistical Mechanics and its Applications
- 2022

Disordered hyperuniformity (DHU) is a recently discovered novel state of many-body systems that is characterized by vanishing normalized infinite-wavelength density fluctuations similar to a perfect…

Design of nearly perfect hyperuniform polymeric materials.

- Medicine, Materials ScienceThe Journal of chemical physics
- 2020

This work establishes a framework to quantitatively predict the emergence of hyperuniformity in polymeric materials by considering the distribution of localized polymer subregions, instead of considering the whole material, and demonstrates that this highly tunable approach results in arbitrarily small long-range density fluctuations in the liquid state.

Stone–Wales defects preserve hyperuniformity in amorphous two-dimensional networks

- MedicineProceedings of the National Academy of Sciences
- 2021

Significance We show that the Stone–Wales topological defects preserve hyperuniformity, a recently discovered novel state of many-body systems that suppresses large-scale density fluctuations, in…

Hyperuniform flow fields resulting from hyperuniform configurations of circular disks

- PhysicsPhysical Review E
- 2018

Motivated by cancer cell capture and sorting applications, we investigate the scalar velocity field of two-dimensional (2D) laminar flows through configurations of fixed congruent circular disks with…

Hyperuniformity order metric of Barlow packings.

- Medicine, PhysicsPhysical review. E
- 2019

The geometry of three classes of Barlow packings, which are the infinitely degenerate densest packings of identical rigid spheres that are distinguished by their stacking geometries, is described and it is found that the value of Λ[over ¯] of all BarlowPackings is primarily controlled by the local cluster geometry.

Predicting transport characteristics of hyperuniform porous media via rigorous microstructure-property relations

- Materials Science
- 2020

Abstract This paper is concerned with the estimation of the effective transport characteristics of fluid-saturated porous media via rigorous microstructure-property relations. We are particularly…

Effective elastic wave characteristics of composite media

- PhysicsNew Journal of Physics
- 2020

We derive exact expressions for effective elastodynamic properties of two-phase composites in the long-wavelength (quasistatic) regime via homogenized constitutive relations that are local in space.…

Hidden Hyperuniformity in Soft Polymeric Materials.

- Medicine, Materials SciencePhysical review letters
- 2018

The cores of the stars and the backbones of bottlebrush polymers are found to have a hyperuniform distribution; i.e., they exhibit anomalously small density fluctuations over a wide temperature range above the glass transition temperature.

## References

SHOWING 1-10 OF 77 REFERENCES

Disordered hyperuniform heterogeneous materials.

- Physics, MedicineJournal of physics. Condensed matter : an Institute of Physics journal
- 2016

New rigorous criteria that disordered hyperuniform two-phase heterogeneous materials must obey are derived and implications for the design of such novel amorphous materials are explored.

Hyperuniformity and its generalizations.

- Physics, MedicinePhysical review. E
- 2016

It is shown that there exist many-particle ground-state configurations in which directional hyperuniformity imparts exotic anisotropic physical properties to these states of matter, which could have technological relevance for manipulating light and sound waves in ways heretofore not thought possible.

Designing disordered hyperuniform two-phase materials with novel physical properties

- Materials Science, Physics
- 2018

Abstract Heterogeneous materials consisting of different phases are ideally suited to achieve a broad spectrum of desirable bulk physical properties by combining the best features of the constituents…

Hyperuniform states of matter

- PhysicsPhysics Reports
- 2018

Hyperuniform states of matter are correlated systems that are characterized by an anomalous suppression of long-wavelength (i.e., large-length-scale) density fluctuations compared to those found in…

Transport, geometrical, and topological properties of stealthy disordered hyperuniform two-phase systems.

- Physics, MedicineThe Journal of chemical physics
- 2016

As the extent of short-range order increases, stealthy disordered two-phase media can attain nearly maximal effective diffusion coefficients over a broad range of volume fractions while also maintaining isotropy, and therefore may have practical applications in situations where ease of transport is desirable.

Hyperuniformity in point patterns and two-phase random heterogeneous media

- Mathematics, Physics
- 2009

Hyperuniform point patterns are characterized by vanishing infinite-wavelength density fluctuations and encompass all crystal structures, certain quasiperiodic systems, and special disordered point…

Diagnosing hyperuniformity in two-dimensional, disordered, jammed packings of soft spheres.

- Materials Science, PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

Using video optical microscopy to study hyperuniformity phenomena in disordered two-dimensional jammed packings of soft spheres and a simple packing reconstruction algorithm that incorporates particle polydispersity to minimize the free volume, simulations show that hyper uniformity in finite-sized samples can be ascertained more accurately in direct space than in reciprocal space.

Isotropic band gaps and freeform waveguides observed in hyperuniform disordered photonic solids

- Materials Science, PhysicsProceedings of the National Academy of Sciences
- 2013

The experimental realization of an isotropic complete photonic band gap (PBG) in a 2D disordered dielectric structure and realization of functional defects in this unique class of materials demonstrate their potential as building blocks for precise manipulation of photons in planar optical microcircuits and has implications for disordered acoustic and electronic band gap materials.

Microstructure and mechanical properties of hyperuniform heterogeneous materials.

- Physics, MedicinePhysical review. E
- 2017

A stochastic optimization procedure is employed to systematically generate realizations of hyperuniform heterogeneous materials with controllable short-range order, which is partially quantified using the two-point correlation function S_{2}(r) associated with the phase of interest.

Photonic hyperuniform networks by silicon double inversion of polymer templates

- Materials Science, Physics
- 2016

Hyperuniform disordered networks belong to a peculiar class of structured materials predicted to possess partial and complete photonic bandgaps for relatively moderate refractive index contrasts. The…