Existence of isostatic, maximally random jammed monodisperse hard-disk packings

No abstract is available for this paper.

• Publication year

  2014

• Venue

  Proceedings of the National Academy of Sciences of the United States of America

• Publication date

  2014-12-15

• Fields of study

  Medicine, Materials Science, Physics, Engineering

• Identifiers
  DOI 10.1073/pnas.1408371112PMID 25512529PMCID PMC4284597
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Detailed characterization of rattlers in exactly isostatic, strictly jammed sphere packings.

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  2013cited by this paper
• Soft-sphere packings at finite pressure but unstable to shear.

  2012cited by this paper
• Universal microstructure and mechanical stability of jammed packings.

  2012cited by this paper
• Nonuniversality of density and disorder in jammed sphere packings

  2011cited by this paper
• Jammed hard-particle packings: From Kepler to Bernal and beyond

  2010influential reference
• Robust algorithm to generate a diverse class of dense disordered and ordered sphere packings via linear programming.

  2010influential reference
• A Novel Three-Phase Model of Brain Tissue Microstructure

  2008cited by this paper
• Mean-field theory of hard sphere glasses and jamming

  2008cited by this paper
• Toward the jamming threshold of sphere packings: Tunneled crystals

  2007influential reference
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  2007cited by this paper
• The influence of cell mechanics, cell-cell interactions, and proliferation on epithelial packing.

  2007cited by this paper
• Why is random close packing reproducible?

  2007cited by this paper
• Packing hyperspheres in high-dimensional Euclidean spaces.

  2006cited by this paper
• Random close packing revisited: ways to pack frictionless disks.

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  2005cited by this paper
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  2005cited by this paper
• Unexpected density fluctuations in jammed disordered sphere packings.

  2005cited by this paper
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  2004cited by this paper
• Pair correlation function characteristics of nearly jammed disordered and ordered hard-sphere packings.

  2004cited by this paper
• Jamming in hard sphere and disk packings

  2004cited by this paper
• Comment on "Jamming at zero temperature and zero applied stress: The epitome of disorder".

  2004cited by this paper
• Jamming at zero temperature and zero applied stress: the epitome of disorder.

  2003cited by this paper
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  2003cited by this paper
• Dense Packing and Symmetry in Small Clusters of Microspheres

  2003cited by this paper
• Local density fluctuations, hyperuniformity, and order metrics.

  2003cited by this paper
• Random Heterogeneous Materials

  2002cited by this paper
• A linear programming algorithm to test for jamming in hard-sphere packings

  2002cited by this paper
• Diversity of order and densities in jammed hard-particle packings.

  2002cited by this paper
• Multiplicity of Generation, Selection, and Classification Procedures for Jammed Hard-Particle Packings †

  2001cited by this paper
• Nonequilibrium hard-disk packings with controlled orientational order

  2000cited by this paper
• Is random close packing of spheres well defined?

  2000influential reference
• Towards a quantification of disorder in materials: distinguishing equilibrium and glassy sphere packings

  2000cited by this paper
• Packing at random in curved space and frustration : a numerical study

  1997cited by this paper
• Simulation of random close packed discs and spheres

  1993cited by this paper
• Disks vs. spheres: Contrasting properties of random packings

  1991cited by this paper
• The Materials Science of Thin Films

  1991cited by this paper
• Geometric properties of random disk packings

  1990cited by this paper
• Random packing of disks in two dimensions

  1990cited by this paper
• Inhibition of recrystallization of ice by insect thermal hysteresis proteins: A possible cryoprotective role

  1986cited by this paper
• The physics of amorphous solids

  1983cited by this paper
• Random close packing of hard spheres and disks

  1983cited by this paper
• A model for crystallization of monomolecular layers on contracting surfaces

  1982cited by this paper
• Random packing of circles in a plane

  1977cited by this paper
• Random packing in two dimensions and the structure of monolayers

  1974cited by this paper
• Glycoproteins as Biological Antifreeze Agents in Antarctic Fishes

  1971cited by this paper
• The density of random close packing of spheres

  1969cited by this paper
• A Two-dimensional Growth Process

  1961cited by this paper
• THE USE OF CONFIDENCE OR FIDUCIAL LIMITS ILLUSTRATED IN THE CASE OF THE BINOMIAL

  1934cited by this paper

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  2025cites this paper
• Plasmon Polaritons in Disordered Nanoparticle Assemblies

  2025cites this paper
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  2025cites this paper
• ECM Mechanics Control Jamming-to-Unjamming Transition of Cancer Cells

  2025cites this paper
• Percolation-based mean field theory for disordered particle packings

  2025cites this paper
• Freezing in flat monolayers of soft spherocylinders.

  2025cites this paper
• Optimal disk packing of chloroplasts in plant cells

  2025cites this paper
• Estimating random close packing density from circle radius distributions.

  2024influential citation
• Hyperuniformity scaling of maximally random jammed packings of two-dimensional binary disks.

  2024cites this paper
• The Geometry behind the Glass Transition and Frictional Jamming in Systems of Two-Dimensional Hard Disks

  2024cites this paper
• Complete mathematical theory of the jamming transition: A perspective

  2024cites this paper
• Exceptionally dense and resilient critically jammed polydisperse disk packings.

  2024cites this paper
• Random close packing of semi-flexible polymers in two dimensions: Emergence of local and global order.

  2024cites this paper
• Exceptionally Dense and Resilient Polydisperse Disk Packings

  2024cites this paper
• Mixed Nanosphere Assemblies at a Liquid-Liquid Interface.

  2023cites this paper
• Hyperuniformity of maximally random jammed packings of hyperspheres across spatial dimensions.

  2023influential citation
• A geometric probabilistic approach to random packing of disks in a plane

  2023cites this paper
• A geometric probabilistic approach to random packing of hard disks in a plane.

  2023influential citation
• Densest packing of flexible polymers in 2D films.

  2023cites this paper
• Revealing the characteristic length of random close packing via critical-like random pinning.

  2022cites this paper
• Estimating random close packing in polydisperse and bidisperse hard spheres via an equilibrium model of crowding.

  2022cites this paper
• A heuristic approach for the densest packing fraction of hard-sphere mixtures

  2022cites this paper
• Dynamical Approach to the Jamming Problem.

  2022cites this paper
• Toward Hyperuniform Disorder via Self‐Assembly of Bidisperse Colloidal Patterns at an Electrode

  2022cites this paper
• Structural Measures as Guides to Ultrastable States in Overjammed Packings.

  2022cites this paper
• Dense packings of geodesic hard ellipses on a sphere.

  2022cites this paper
• Tiny-Shaped Particles Developing a Mono Layer Shape Dealing with Localised Gravity and Levity at the Solution Surface

  2022cites this paper
• Relaxation and Aging of Nanosphere Assemblies at a Water-Oil Interface.

  2022cites this paper
• Descriptor-free unsupervised learning method for local structure identification in particle packings.

  2022cites this paper
• On the origins of order.

  2022cites this paper
• Kinetic Frustration Effects on Dense Two-Dimensional Packings of Convex Particles and Their Structural Characteristics.

  2021cites this paper
• Structural Characteristics of a Small Group of Fixed Particles and the Maximum Density of a Random Packing of Hard Spheres

  2021cites this paper
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  2021cites this paper
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  2021cites this paper
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  2021cites this paper
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  2021cites this paper
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  2020cites this paper
• Simple fluids, suspensions and selected random systems

  2020cites this paper
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  2020cites this paper
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  2020cites this paper
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  2020cites this paper
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  2020cites this paper
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  2020cites this paper
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  2020cites this paper
• References

  2020cites this paper
• Tiny-Shaped Particles Developing a Mono Layer Shape Dealing with Localized Gravity and Levity at the Solution Surface.

  2020cites this paper
• Two-Dimensional Systems of Elongated Particles: From Diluted to Dense

  2019cites this paper
• Real-space renormalization of randomly vacated lattices: a renormalization group for jamming?

  2019cites this paper
• The study of tiny-shaped particles developing shaped monolayer dealing with localized gravity at solution surface

  2019cites this paper
• Unjamming and collective migration in MCF10A breast cancer cell lines.

  2019cites this paper
• Does a central limit theorem hold for the k-skeleton of Poisson hyperplanes in hyperbolic space?

  2019cites this paper
• Building Reconfigurable Devices Using Complex Liquid–Fluid Interfaces

  2019cites this paper
• A real-space renormalization group for jamming

  2019cites this paper
• Hyperuniform states of matter

  2018cites this paper
• Smeared Lattice Model as a Framework for Order to Disorder Transitions in 2D Systems

  2018cites this paper
• Universal Features of Metastable State Energies in Cellular Matter.

  2018cites this paper
• Multifunctional hyperuniform cellular networks: optimality, anisotropy and disorder

  2018cites this paper
• The Quasicrystal Model as a Framework for Order to Disorder Transitions in 2D Systems

  2018cites this paper
• Basic Understanding of Condensed Phases of Matter via Packing Models

  2018cites this paper
• Predictor Packing in Developing Unprecedented Shaped Colloidal Particles

  2018cites this paper
• Response of jammed packings to thermal fluctuations.

  2017cites this paper
• Characterization of maximally random jammed sphere packings. III. Transport and electromagnetic properties via correlation functions.

  2017cites this paper
• Retraction Note to: The effect of the electronic structure, phase transition, and localized dynamics of atoms in the formation of tiny particles of gold

  2017cites this paper
• The Isostatic Conjecture

  2017cites this paper
• Assembling semiconducting molecules by covalent attachment to a lamellar crystalline polymer substrate

  2016cites this paper
• Developing a Mono-Layer Shape Dealing with Localized Gravity and Levity at the Solution Surface

  2016cites this paper
• Critical slowing down and hyperuniformity on approach to jamming.

  2016cites this paper
• Effects of the Electronic Structure, Phase Transition, and Localized Dynamics of Atoms in the Formation of Tiny Particles of Gold

  2016cites this paper
• The study of tiny-shaped particles developing mono-layer dealing localized gravity at solution surface

  2016cites this paper
• Tiny-Shaped Particles Developing Mono Layer Shape Dealing with Localized Gravity in Solution Surface

  2016cites this paper
• Development of gold tiny particles and particles in different sizes at varying precursor concentration

  2016cites this paper
• Controlling morphology-structure of gold tiny particles, nanoparticles and particles at different pulse rates and pulse polarity

  2016cites this paper
• The study of tiny shaped particle dealing localized gravity at solution surface

  2016cites this paper
• Dynamics of colloidal particles formation in processing different precursors-elastically and plastically driven electronic states of atoms in lattice

  2016cites this paper
• Geometric structure of gold tiny particles at varying precursor concentration and packing of their electronic structures into extended shapes

  2016cites this paper
• Two typical structure patterns in jammed monodisperse disk packings at high densities

  2016cites this paper
• Jamming on curved surfaces

  2016cites this paper
• Development of gold particles at varying precursor concentration

  2016cites this paper
• Edwards Statistical Mechanics for Jammed Granular Matter

  2016influential citation
• Disordered contact networks in jammed packings of frictionless disks

  2016cites this paper
• Formation of tiny particles and their extended shapes: origin of physics and chemistry of materials

  2016cites this paper
• RETRACTED ARTICLE: The effect of the electronic structure, phase transition, and localized dynamics of atoms in the formation of tiny particles of gold

  2016cites this paper
• Rhéologie d'interface liquide/air chargées de grains : vers la consolidation d'un milieu aéré

  2016cites this paper
• Tapping Opportunity of Tiny-Shaped Particles and Role of Precursor in Developing Shaped Particles

  2016cites this paper
• Hexagonal Patterning of the Insect Compound Eye: Facet Area Variation, Defects, and Disorder.

  2016cites this paper
• Static structural signatures of nearly jammed disordered and ordered hard-sphere packings: Direct correlation function.

  2016cites this paper
• Characterization of maximally random jammed sphere packings. II. Correlation functions and density fluctuations.

  2016cites this paper
• Confined disordered strictly jammed binary sphere packings.

  2015cites this paper
• A Geometric-Structure Theory for Maximally Random Jammed Packings

  2015cites this paper
• Memory of jamming – multiscale flow in soft and granular matter

  2015cites this paper
• Pattern formations and optimal packing.

  2015cites this paper
• Memory of jamming–multiscale models for soft and granular matter

  2014cites this paper