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

Abstract

Hyperuniformity characterizes a state of matter for which density fluctuations diminish towards zero at the largest length scales. However, the task of determining whether or not an experimental system is hyperuniform is experimentally challenging due to finite-resolution, noise and sample-size effects that influence characterization measurements. Here we explore these issues, employing video optical microscopy to study hyperuniformity phenomena in disordered two-dimensional jammed packings of soft spheres. Using a combination of experiment and simulation we characterize the detrimental effects of particle polydispersity, image noise, and finite-size effects on the assignment of hyperuniformity, and we develop a methodology that permits improved diagnosis of hyperuniformity from real-space measurements. The key to this improvement is a simple packing reconstruction algorithm that incorporates particle polydispersity to minimize free volume. In addition, simulations show that hyperuniformity can be ascertained more accurately in direct space than in reciprocal space as a result of finite sample-size. Finally, experimental colloidal packings of soft polymeric spheres are shown to be hyperuniform.

12 pages, 9 figures

References in corpus (15)

• Local Density Fluctuations, Hyperuniformity, and Order Metrics
• Designer disordered materials with large complete photonic band gaps
• Unexpected Density Fluctuations in Jammed Disordered Sphere Packings
• Isotropic Band Gaps and Freeform Waveguides Observed in Hyperuniform Disordered Photonic Solids
• Hyperuniformity in point patterns and two-phase random heterogeneous media
• Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials
• Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings
• Out-of-equilibrium structures in strongly interacting Rydberg gases with dissipation
• Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory
• Suppressed compressibility at large scale in jammed packings of size disperse spheres
• Experimental study of random close packed colloidal particles
• Incompressibility of polydisperse random close packed colloidal particles
• Optical cavities and waveguides in hyperuniform disordered photonic solids
• Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random jammed particle packings. I. Polydisperse spheres
• Measuring every particle's size from three-dimensional imaging experiments

Cited by in corpus (67)

• Hyperuniform States of Matter
• Statics and Dynamics of Skyrmions Interacting with Pinning: A Review
• Hyperuniformity and its Generalizations
• Ensemble Theory for Stealthy Hyperuniform Disordered Ground States
• Emergent hyperuniformity in periodically-driven emulsions
• Basic Understanding of Condensed Phases of Matter via Packing Models
• Designing Disordered Hyperuniform Two-Phase Materials with Novel Physical Properties
• Transport, Geometrical and Topological Properties of Stealthy Disordered Hyperuniform Two-Phase Systems
• Random Scalar Fields and Hyperuniformity
• Critical slowing down and hyperuniformity on approach to jamming
• Ground states of stealthy hyperuniform potentials: I. Entropically favored configurations
• Stone-Wales Defects Preserve Hyperuniformity in Amorphous Two-Dimensional Materials
• Disordered Hyperuniform Heterogeneous Materials
• Hyperuniform Active Chiral Fluids with Tunable Internal Structure
• The Perfect Glass Paradigm: Disordered Hyperuniform Glasses Down to Absolute Zero
• Thermal fluctuations, mechanical response, and hyperuniformity in jammed solids
• Enhanced Pinning For Vortices in Hyperuniform Substrates and Emergent Hyperuniform Vortex States
• Structural Characterization of Many-Particle Systems on Approach to Hyperuniform States
• Optimizing Hyperuniformity in Self-Assembled Bidisperse Emulsions
• Tailored Light Scattering through Hyperuniform Disorder in self-organized arrays of high-index Nanodisks
• Search for Hyperuniformity in Mechanically Stable Packings of Frictionless Disks Above Jamming
• Foam as a self-assembling amorphous photonic band gap material
• Hyperuniformity with no fine tuning in sheared sedimenting suspensions
• Large-scale structure of randomly jammed particles
• Nearly hyperuniform, nonhyperuniform, and antihyperuniform density fluctuations in two-dimensional transition metal dichalcogenides with defects
• Role of initial conditions in $1D$ diffusive systems: compressibility, hyperuniformity and long-term memory
• Polymer Glass-Formation in Variable Dimension
• Methodology to Construct Large Realizations of Perfectly Hyperuniform Disordered Packings
• Angular resolved light scattering from micron-sized colloidal assemblies
• Evidence for non-ergodicity in quiescent states of periodically sheared suspensions
• Characterization of Void Space, Large-Scale Structure, and Transport Properties of Maximally Random Jammed Packings of Superballs
• Characterization of Maximally Random Jammed Sphere Packings: II. Correlation Functions and Density Fluctuations
• Disordered hyperuniform vortex matter with rhombic distortions in FeSe at low fields
• Confined disordered strictly jammed binary sphere packings
• A geometric-Structure Theory for maximally Random Jammed Packings
• Effect of Window Shape on the Detection of Hyperuniformity via the Local Number Variance
• Disordered Hyperuniform Quasi-1D Materials
• Anisotropic suppression of hyperuniformity of elastic systems in media with planar disorder
• Disordered hyperuniformity in superconducting vortex lattices
• Spherical structure factor and classification of hyperuniformity on the sphere
• Non-equilibrium dynamic hyperuniform states
• Extraordinary Optical and Transport Properties of Disordered Stealthy Hyperuniform Two-Phase Media
• Phyllotaxis: a framework for foam topological evolution
• Structural characterization and statistical-mechanical model of epidermal patterns
• Anomalous suppression of large-scale density fluctuations in classical and quantum spin liquids
• Characterizing the Hyperuniformity of Ordered and Disordered Two-Phase Media
• Subdiffusive light transport in three-dimensional subrandom arrays
• Characterizing Pixel and Point Patterns with a Hyperuniformity Disorder Length
• Quantifying the Long-Range Structure of Foams and Other Cellular Patterns with Hyperuniformity Disorder Length Spectroscopy
• Hyperuniform Density Distributions of Brownian Particles via Designer External Potentials
• Hyperuniform states generated by a critical friction field
• The Spectrum of Structure for Jammed and Unjammed Soft Disks
• Disordered Contact Networks in Jammed Packings of Frictionless Disks
• Geometrical properties of mechanically annealed systems near the jamming transition
• Non-Gaussian tail in the force distribution: A hallmark of correlated disorder in the host media of elastic objects
• Hyperuniformity Disorder Length Spectroscopy for Extended Particles
• Hidden symmetries in jammed systems
• Hyperdisordered cell packing on a growing surface
• Quantifying when hyperuniformity of a many-particle system leads to uniformity across length scales
• Cavity averages for hard spheres in the presence of polydispersity and incomplete data
• Anti-hyperuniform diluted vortex matter induced by correlated disorder
• Spectral Leakage and Masking Effects in the Measurement of Hyperuniformity
• Hyperuniformity and anti-hyperuniformity in one-dimensional substitution tilings
• Hyperuniformity near jamming transition over a wide range of bidispersity
• Precise Determination of the Long-Time Asymptotics of the Diffusion Spreadability of Two-Phase Media
• Hyperuniform patterns nucleated at low temperatures: Insight from vortex matter imaged in unprecedentedly large fields-of-view
• Topological Defects, Inherent Structures, and Hyperuniformity