Disordered multihyperuniformity derived from binary plasmas

Lomba, Enrique; Weis, J. J.; Torquato, Salvatore

doi:10.1103/physreve.97.010102

Cited by 15 publications

(41 citation statements)

References 38 publications

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“…All crystals [27], many quasicrystals [32,33], stealthy and other hyperuniform disordered ground states [62,63,65,68,143], perturbed lattices [134,[137][138][139]145], g 2 -invariant disordered point processes [27], one-component plasmas [35,146], hard-sphere plasmas [147,148], random organization models [56], perfect glasses [68], and Weyl-Heisenberg ensembles [136].…”

Section: Class Modelsmentioning

confidence: 99%

“…where ρ i is the number density of type-i particles, respectively, and ρ is the total number density. Substitution of (148) into (145), (146) and (147) yields the corresponding packing fraction, autocovariance function and spectral density,…”

Section: Spectral Densities For Packingsmentioning

confidence: 99%

“…By contrast, constructing disordered multihyperuniform polydisperse packings is much more challenging. The photoreceptor mosaics in avian retina [59] and certain multicomponent hard-sphere plasmas [148] are such examples. 2.…”

Section: Spectral Densities For Packingsmentioning

confidence: 99%

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Hyperuniform states of matter

2018

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Hyperuniform states of matter are correlated systems that are characterized by an anomalous suppression of longwavelength (i.e., large-length-scale) density fluctuations compared to those found in garden-variety disordered systems, such as ordinary fluids and amorphous solids. All perfect crystals, perfect quasicrystals and special disordered systems are hyperuniform. Thus, the hyperuniformity concept enables a unified framework to classify and structurally characterize crystals, quasicrystals and the exotic disordered varieties. While disordered hyperuniform systems were largely unknown in the scientific community over a decade ago, now there is a realization that such systems arise in a host of contexts across the physical, materials, chemical, mathematical, engineering, and biological sciences, including disordered ground states, glass formation, jamming, Coulomb systems, spin systems, photonic and electronic band structure, localization of waves and excitations, self-organization, fluid dynamics, number theory, stochastic point processes, integral and stochastic geometry, the immune system, and photoreceptor cells. Such unusual amorphous states can be obtained via equilibrium or nonequilibrium routes, and come in both quantum-mechanical and classical varieties. The connections of hyperuniform states of matter to many different areas of fundamental science appear to be profound and yet our theoretical understanding of these unusual systems is only in its infancy. The purpose of this review article is to introduce the reader to the theoretical foundations of hyperuniform ordered and disordered systems. Special focus will be placed on fundamental and practical aspects of the disordered kinds, including our current state of knowledge of these exotic amorphous systems as well as their formation and novel physical properties.

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Section: Class Modelsmentioning

confidence: 99%

Section: Spectral Densities For Packingsmentioning

confidence: 99%

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Hyperuniform states of matter

2018

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“…However, multicomponent equilibrium plasmas consisting of nonadditive hard spheres with Coulombic interactions enable one to generate a very wide class of disordered hyperuniform as well as "multihyperuniform" 27 systems at positive temperatures. 199,200…”

Section: Equilibrium and Metastable Behaviormentioning

confidence: 99%

Perspective: Basic understanding of condensed phases of matter via packing models

Torquato

2018

The Journal of Chemical Physics

134

139

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Packing problems have been a source of fascination for millennia and their study has produced a rich literature that spans numerous disciplines. Investigations of hard-particle packing models have provided basic insights into the structure and bulk properties of condensed phases of matter, including low-temperature states (e.g., molecular and colloidal liquids, crystals, and glasses), multiphase heterogeneous media, granular media, and biological systems. The densest packings are of great interest in pure mathematics, including discrete geometry and number theory. This perspective reviews pertinent theoretical and computational literature concerning the equilibrium, metastable, and nonequilibrium packings of hard-particle packings in various Euclidean space dimensions. In the case of jammed packings, emphasis will be placed on the "geometric-structure" approach, which provides a powerful and unified means to quantitatively characterize individual packings via jamming categories and "order" maps. It incorporates extremal jammed states, including the densest packings, maximally random jammed states, and lowest-density jammed structures. Packings of identical spheres, spheres with a size distribution, and nonspherical particles are also surveyed. We close this review by identifying challenges and open questions for future research.

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“…σ 2 * n (s) ∝ p * δ with δ < 2, and δ decreasing as the interaction range increases. In fact, for the Coulomb like interaction we have δ ≈ 1.4 Note the this interaction gives strictly δ = 1 for planar surfaces [30]. The pure LJ fluid, as in the Euclidean case, displays no hyperuniformity, and conforms to the same scaling as the uniform random point patterns.…”

Section: Number Variances In Fluids Of Interacting Particlesmentioning

confidence: 82%

Hyperuniformity on spherical surfaces

et al. 2019

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In this work we present a study on the characterization of ordered and disordered hyperuniform point distributions on spherical surfaces. In spite of the extensive literature on disordered hyperuniform systems in Euclidean geometries, to date few works have dealt with the problem of hyperuniformity in curved spaces. As a matter of fact, some systems that display disordered hyperuniformity, like the space distribution of photoreceptors in avian retina, actually occur on curved surfaces. Here we will focus on the local particle number variance and its dependence on the size of the sampling window (which we take to be a spherical cap) for regular and uniform point distributions, as well as for equilibrium configurations of fluid particles interacting through Lennard-Jones, dipole-dipole and charge-charge potentials. We will show how the scaling of the local number variance enables the characterization of hyperuniform point patterns also on spherical surfaces. arXiv:1812.04729v1 [cond-mat.dis-nn]

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Disordered multihyperuniformity derived from binary plasmas

Cited by 15 publications

References 38 publications

Hyperuniform states of matter

Hyperuniform states of matter

Perspective: Basic understanding of condensed phases of matter via packing models

Hyperuniformity on spherical surfaces

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