Search for Hyperuniformity in Mechanically Stable Packings of Frictionless Disks Above Jamming

Abstract

We numerically simulate mechanically stable packings of soft-core, frictionless, bidisperse disks in two dimensions, above the jamming packing fraction phi_J. For configurations with a fixed isotropic global stress tensor, we investigate the fluctuations of the local packing fraction phi(r) to test whether such configurations display the hyperuniformity that has been claimed to exist exactly at phi_J. For our configurations, generated by a rapid quench protocol, we find that hyperuniformity persists only out to a finite length scale, and that this length scale appears to remain finite as the system stress decreases towards zero, i.e. towards the jamming transition. Our result suggests that the presence of hyperuniformity at jamming may be sensitive to the specific protocol used to construct the jammed configurations.

16 pages, 26 figures, replaced with published version

References in corpus (9)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Jamming versus Glass Transitions
• A Landscape Analysis of Constraint Satisfaction Problems
• Soft Sphere Packings at Finite Pressure but Unstable to Shear
• Diagnosing hyperuniformity in two-dimensional disordered jammed-packings of soft spheres
• Suppressed compressibility at large scale in jammed packings of size disperse spheres
• Tuning Jammed Frictionless Disk Packings from Isostatic to Hyperstatic
• Thermal fluctuations, mechanical response, and hyperuniformity in jammed solids
• Statistics of Conserved Quantities in Mechanically Stable Packings of Frictionless Disks Above Jamming

Cited by in corpus (25)

• Hyperuniform States of Matter
• Basic Understanding of Condensed Phases of Matter via Packing Models
• Critical slowing down and hyperuniformity on approach to jamming
• Exploring the jamming transition over a wide range of critical densities
• Two diverging length scales in the structure of jammed packings
• Absorbing-state transitions in granular materials close to jamming
• Optimizing Hyperuniformity in Self-Assembled Bidisperse Emulsions
• Foam as a self-assembling amorphous photonic band gap material
• Large-scale structure of randomly jammed particles
• Local order and crystallization of dense polydisperse hard spheres
• Criticality and correlated dynamics at the irreversibility transition in periodically driven colloidal suspensions
• Hidden Order Beyond Hyperuniformity in Critical Absorbing States
• Universal non-Debye low-frequency vibrations in sheared amorphous solids
• Hyperuniform Jammed Sphere Packings Have Anomalous Material Properties
• Anomalous Stress Fluctuations in Athermal Two Dimensional Amorphous Solids
• Characterizing Pixel and Point Patterns with a Hyperuniformity Disorder Length
• The response of jammed packings to thermal fluctuations
• Quantifying the Long-Range Structure of Foams and Other Cellular Patterns with Hyperuniformity Disorder Length Spectroscopy
• The Spectrum of Structure for Jammed and Unjammed Soft Disks
• 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
• Hyperuniformity scaling of maximally random jammed packings of two-dimensional binary disks
• Hyperuniformity Disorder Length Spectroscopy for Extended Particles
• Universal Jamming Criticality and Self-Organizing Principles from Disorder to the Limit of Perfect Crystalline Order
• Hyperuniformity near jamming transition over a wide range of bidispersity