Exploring the jamming transition over a wide range of critical densities

Abstract

We numerically study the jamming transition of frictionless polydisperse spheres in three dimensions. We use an efficient thermalisation algorithm for the equilibrium hard sphere fluid and generate amorphous jammed packings over a range of critical jamming densities that is about three times broader than in previous studies. This allows us to reexamine a wide range of structural properties characterizing the jamming transition. Both isostaticity and the critical behavior of the pair correlation function hold over the entire range of jamming densities. At intermediate length scales, we find a weak, smooth increase of bond orientational order. By contrast, distorted icosahedral structures grow rapidly with increasing the volume fraction in both fluid and jammed states. Surprisingly, at large scale we observe that denser jammed states show stronger deviations from hyperuniformity, suggesting that the enhanced amorphous ordering inherited from the equilibrium fluid competes with, rather than enhances, hyperuniformity. Finally, finite size fluctuations of the critical jamming density are considerably suppressed in the denser jammed states, indicating an important change in the topography of the potential energy landscape. By considerably stretching the amplitude of the critical "J-line", our work disentangles physical properties at the contact scale that are associated with jamming criticality, from those occurring at larger length scales, which have a different nature.

19 pages, 11 figures, resubmission to SciPost

References in corpus (29)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Accurate determination of crystal structures based on averaged local bond order parameters
• Fractal free energy landscapes in structural glasses
• The role of local structure in dynamical arrest
• Models and algorithms for the next generation of glass transition studies
• Roles of icosahedral and crystal-like order in hard spheres glass transition
• The glass transition of dense fluids of hard and compressible spheres
• Marginal Stability in Structural, Spin and Electron Glasses
• Understanding fragility in supercooled Lennard-Jones mixtures. I. Locally preferred structures
• Jamming versus Glass Transitions
• Universal microstructure and mechanical stability of jammed packings
• Jamming Criticality Revealed by Removing Localized Buckling Excitations
• Configurational entropy measurements in extremely supercooled liquids that break the glass ceiling
• Identification of long-lived clusters and their link to slow dynamics in a model glass former
• Soft Sphere Packings at Finite Pressure but Unstable to Shear
• Suppressed compressibility at large scale in jammed packings of size disperse spheres
• Understanding the Frequency Distribution of Mechanically Stable Disk Packings
• Dynamic criticality at the jamming transition
• Locally preferred structures and many-body static correlations in viscous liquids
• Tuning Jammed Frictionless Disk Packings from Isostatic to Hyperstatic
• Thermal fluctuations, mechanical response, and hyperuniformity in jammed solids
• Phase diagram of a polydisperse soft-spheres model for liquids and colloids
• Glass Transition of Hard Sphere Systems: Molecular Dynamics and Density Functional Theory
• Characterization of maximally random jammed sphere packings: Voronoi correlation functions
• Does the configurational entropy of polydisperse particles exist?
• Large-scale structure of randomly jammed particles
• Characterization of Maximally Random Jammed Sphere Packings: II. Correlation Functions and Density Fluctuations
• Exponential distributions of collective flow-event properties in viscous liquid dynamics
• Structure characterization of hard sphere packings in amorphous and crystalline states

Cited by in corpus (36)

• Perspective: Configurational entropy of glass-forming liquids
• Theory for Swap Acceleration near the Glass and Jamming Transitions
• Two diverging length scales in the structure of jammed packings
• Can the glass transition be explained without a growing static length scale?
• A jamming plane of sphere packings
• Estimating random close packing in polydisperse and bidisperse hard spheres via an equilibrium model of crowding
• A Microscopic Theory of Softness in Supercooled Liquids
• Memory formation in jammed hard spheres
• Local order and crystallization of dense polydisperse hard spheres
• Dimensionality and viscosity exponent in shear-driven jamming
• Yielding and plasticity in amorphous solids
• Bypassing sluggishness: SWAP algorithm and glassiness in high dimensions
• Irreversible Monte Carlo algorithms for hard disk glasses: from event-chain to collective swaps
• Another resolution of the configurational entropy paradox as applied to hard spheres
• Shear-Driven Flow of Athermal, Frictionless, Spherocylinder Suspensions in Two Dimensions: Stress, Jamming, and Contacts
• Monte Carlo simulations of glass-forming liquids beyond Metropolis
• Jamming of packings of frictionless particles with and without shear
• Tuning and jamming reduced to their minima
• Hyperuniformity and conservation laws in non-equilibrium systems
• Jamming, relaxation, and memory in a structureless glass former
• The Spectrum of Structure for Jammed and Unjammed Soft Disks
• Shear hardening in frictionless amorphous solids near the jamming transition
• Exceptionally Dense and Resilient Polydisperse Disk Packings
• Exploring canyons in glassy energy landscapes using metadynamics
• Non-hyperuniform metastable states around a disordered hyperuniform state of densely packed spheres: stochastic density functional theory at strong coupling
• Geometrical properties of mechanically annealed systems near the jamming transition
• The connection between polymer collapse and the onset of jamming
• Protein folding as a jamming transition
• Mixing properties of bi-disperse ellipsoid assemblies: Mean-field behaviour in a granular matter experiment
• Comment on "Explicit Analytical Solution for Random Close Packing in $d=2$ and $d=3$"
• Translational and rotational velocities in shear-driven jamming of ellipsoidal particles
• The Gardner correlation length scale in glasses
• Computational Methods toward Ultrastable Glasses
• Hyperuniformity near jamming transition over a wide range of bidispersity
• Gradient descent dynamics and the jamming transition in infinite dimensions
• Universal Jamming Criticality and Self-Organizing Principles from Disorder to the Limit of Perfect Crystalline Order