A geometric-Structure Theory for maximally Random Jammed Packings

Abstract

Maximally random jammed (MRJ) particle packings can be viewed as prototypical glasses in that they are maximally disordered while simultaneously being mechanically rigid. The prediction of the MRJ packing density phi, among other packing properties of frictionless particles, still poses many theoretical challenges, even for congruent spheres or disks. Using the geometric-structure approach, we derive for the first time a highly accurate formula for MRJ densities for a very wide class of twodimensional frictionless packings, namely, binary convex superdisks, with shapes that continuously interpolate between circles and squares.

9 pages, 6 figures

References in corpus (11)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Hypoconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids
• Hyperuniformity of critical absorbing states
• Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials
• Hyperuniformity and phase separation in biased ensembles of trajectories for diffusive systems
• Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory
• Robust Algorithm to Generate a Diverse Class of Dense Disordered and Ordered Sphere Packings via Linear Programming
• Diagnosing hyperuniformity in two-dimensional disordered jammed-packings of soft spheres
• Organizing Principles for Dense Packings of Nonspherical Hard Particles: Not All Shapes Are Created Equal
• Non-Universality of Density and Disorder in Jammed Sphere Packings
• Characterization of maximally random jammed sphere packings: Voronoi correlation functions

Cited by in corpus (10)

• Hyperuniform States of Matter
• Basic Understanding of Condensed Phases of Matter via Packing Models
• Critical slowing down and hyperuniformity on approach to jamming
• Hypostatic jammed packings of frictionless nonspherical particles
• Characterization of Maximally Random Jammed Sphere Packings. III. Transport and Electromagnetic Properties via Correlation Functions
• Characterization of Maximally Random Jammed Sphere Packings: II. Correlation Functions and Density Fluctuations
• Critical pore radius and transport properties of disordered hard- and overlapping-sphere models
• Disordered Contact Networks in Jammed Packings of Frictionless Disks
• Kinetic Frustration Effects on Dense Two-Dimensional Packings of Convex Particles and Their Structural Characteristics
• Jammed solids with pins: Thresholds, Force networks and Elasticity