Universal microstructure and mechanical stability of jammed packings

Abstract

Jammed packings' mechanical properties depend sensitively on their detailed local structure. Here we provide a complete characterization of the pair correlation close to contact and of the force distribution of jammed frictionless spheres. In particular we discover a set of new scaling relations that connect the behavior of particles bearing small forces and those bearing no force but that are almost in contact. By performing systematic investigations for spatial dimensions d=3-10, in a wide density range and using different preparation protocols, we show that these scalings are indeed universal. We therefore establish clear milestones for the emergence of a complete microscopic theory of jamming. This description is also crucial for high-precision force experiments in granular systems.

11 pages, 7 figures

References in corpus (26)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Is Random Close Packing of Spheres Well Defined?
• Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
• Mean field theory of hard sphere glasses and jamming
• Jamming of Soft Particles: Geometry, Mechanics, Scaling and Isostaticity
• Random Packings of Frictionless Particles
• The Jamming Transition in Granular Systems
• Packing Hyperspheres in High-Dimensional Euclidean Spaces
• Pair Correlation Function Characteristics of Nearly Jammed Disordered and Ordered Hard-Sphere Packings
• Force distributions near the jamming and glass transitions
• Jamming transitions in amorphous packings of frictionless spheres occur over a continuous range of volume fractions
• Why is Random Close Packing Reproducible?
• Finite-Size Scaling at the Jamming Transition
• Jamming versus Glass Transitions
• A Landscape Analysis of Constraint Satisfaction Problems
• Anharmonicity and quasi-localization of the excess low-frequency vibrations in jammed solids
• Stability at Random Close Packing
• Scaling of phononic transport with connectivity in amorphous solids
• Glass transition and random close packing above three dimensions
• Structural signatures of the unjamming transition at zero temperature
• Hard sphere crystallization gets rarer with increasing dimension
• Microscopic theory of the jamming transition of harmonic spheres
• Dimensional Study of the Caging Order Parameter at the Glass Transition
• The tail of the contact force distribution in static granular materials
• Non-Universality of Density and Disorder in Jammed Sphere Packings
• Super-diffusion around the rigidity transition: Levy and the Lilliputians

Cited by in corpus (96)

• Fractal free energy landscapes in structural glasses
• Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions
• Marginal Stability in Structural, Spin and Electron Glasses
• Exact theory of dense amorphous hard spheres in high dimension. III. The full RSB solution
• Jamming Criticality Revealed by Removing Localized Buckling Excitations
• Exact theory of dense amorphous hard spheres in high dimension. II. The high density regime and the Gardner transition
• A geometrically controlled rigidity transition in a model for confluent 3D tissues
• Basic Understanding of Condensed Phases of Matter via Packing Models
• The simplest model of jamming
• Universality of the SAT-UNSAT (jamming) threshold in non-convex continuous constraint satisfaction problems
• Growing timescales and lengthscales characterizing vibrations of amorphous solids
• The jamming transition as a paradigm to understand the loss landscape of deep neural networks
• Memory of jamming - multiscale models for soft and granular matter
• Jamming in finite systems: stability, anisotropy, fluctuations and scaling
• The distribution of forces affects vibrational properties in hard sphere glasses
• Universal non-Debye scaling in the density of states of amorphous solids
• Shear yielding and shear jamming of dense hard sphere glasses
• Experimental evidences of the Gardner phase in a granular glass
• Critical slowing down and hyperuniformity on approach to jamming
• Adhesive Loose Packings of Small Particles
• The shear modulus of glasses: results from the full replica symmetry breaking solution
• Exploring the jamming transition over a wide range of critical densities
• Perspective: Gardner Physics in Amorphous Solids and Beyond
• Theory of the Jamming Transition at Finite Temperature
• Mean-field avalanches in jammed spheres
• Glassy, Gardner-like Phenomenology in Minimally Polydisperse Crystalline Systems
• Hard ellipses: Equation of state, structure and self-diffusion
• Low-frequency vibrations of jammed packings in large spatial dimensions
• Free-then-freeze: transient learning degrees of freedom for introducing function in materials
• Quantitative approximation schemes for glasses
• Numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids
• Statics and dynamics of infinite-dimensional liquids and glasses: a parallel, compact derivation
• Large-scale structure of randomly jammed particles
• The random packing density of nearly spherical particles
• Polymer Glass-Formation in Variable Dimension
• Jammed lattice sphere packings
• Pinning Susceptibility: The effect of dilute, quenched disorder on jamming
• Mean field stability map of hard-sphere glasses
• Free volume distribution of nearly jammed hard sphere packings
• Master equation for the probability distribution functions of forces in soft particle packings
• Marginally jammed states of hard disks in a one-dimensional channel
• Generating large disordered stealthy hyperuniform systems with ultra-high accuracy to determine their physical properties
• Experimental observations of marginal criticality in granular materials
• Geometric order parameters derived from the Voronoi tessellation show signatures of the jamming transition
• Jamming graphs: A local approach to global mechanical rigidity
• Relaxation dynamics of non-Brownian spheres below jamming
• Jammed disks in narrow channel: criticality and ordering tendencies
• Static Structural Signatures of Nearly Jammed Disordered and Ordered Hard-Sphere Packings: Direct Correlation Function
• Finite size effects in the microscopic critical properties of jammed configurations: A comprehensive study of the effects of different types of disorder
• Jamming Energy Landscape is Hierarchical and Ultrametric
• Correlation of plastic events with local structure in jammed packings across spatial dimensions
• Impact of jamming criticality on low-temperature anomalies in structural glasses
• An exploratory study of the glassy landscape near jamming
• Force Percolation Transition of Jammed Granular Systems
• Effect of particle collisions in dense suspension flows
• Mean-field granocentric approach in 2D & 3D polydisperse, frictionless packings
• Critical energy landscape of linear soft spheres
• Jamming below upper critical dimension
• Quantum Jamming: Critical Properties of a Quantum Mechanical Perceptron
• Dynamic length scales in athermal, shear-driven, jamming of frictionless disks in two dimensions
• Mean-Field Predictions of Scaling Prefactors Match Low-Dimensional Jammed Packings
• Disks in a narrow channel jammed by gravity and centrifuge: profiles of pressure, mass density and entropy density
• Jamming Criticality of Near-Crystals
• The response of jammed packings to thermal fluctuations
• Common Packing Patterns for Jammed Particles of Different Power Size Distributions
• Hard-Sphere Jamming through the Lens of Linear Optimization
• Devising a protocol-related statistical mechanics framework for granular materials
• Universal behaviour of the glass and the jamming transitions in finite dimensions
• Non-hyperuniform metastable states around a disordered hyperuniform state of densely packed spheres: stochastic density functional theory at strong coupling
• Critical Scaling of Compression-Driven Jamming of Athermal Frictionless Spheres in Suspension
• Marginal stability in jammed packings: quasicontacts and weak contacts
• Scaling collapse at the jamming transition
• The Ideal Glass and the Ideal Disk Packing in Two Dimensions
• Direct Measurement of Force Configurational Entropy in Jamming
• Infinitesimal asphericity changes the universality of the jamming transition
• Existence of Nonequilibrium Glasses in the Degenerate Stealthy Hyperuniform Ground-State Manifold
• Hydrodynamic approximations for driven dense colloidal mixtures in narrow pores
• Theory of simple glasses
• Active Jamming at Criticality
• Characterizing nonaffinity upon decompression of soft-sphere packings
• Hidden symmetries in jammed systems
• Jammed disks of two sizes and weights in a channel: Alternating sequences
• Short-range and long-range correlations in driven dense colloidal mixtures in narrow pores
• Universality of stress-anisotropic and stress-isotropic jamming of frictionless spheres in three dimensions: Uniaxial vs isotropic compression
• Treating random sequential addition via the replica method
• Packing hard spheres with short-range attraction in infinite dimension: Phase structure and algorithmic implications
• Universal Behavior for Bond Percolation
• Hyperuniformity of Weighted Particle Systems
• Testing mean-field theory for jamming of non-spherical particles: Contact number, gap distribution, and vibrational density of states
• Ageing related states of complex network formation in areca nuts
• Glass and jamming transition of simple liquids: static and dynamic theory
• Criticality and marginal stability of the shear jamming transition of frictionless soft spheres
• Following the evolution of metastable glassy states under external perturbations: compression and shear-strain
• Realizations of Isostatic Material Frameworks
• Jammed disks of two sizes in a channel: segregation driven by steric forces
• Jamming in Perspective