A theory of amorphous packings of binary mixtures of hard spheres

Abstract

We extend our theory of amorphous packings of hard spheres to binary mixtures and more generally to multicomponent systems. The theory is based on the assumption that amorphous packings produced by typical experimental or numerical protocols can be identified with the infinite pressure limit of long lived metastable glassy states. We test this assumption against numerical and experimental data and show that the theory correctly reproduces the variation with mixture composition of structural observables, such as the total packing fraction and the partial coordination numbers.

10 pages, 3 figures

References in corpus (8)

• Packing Hyperspheres in High-Dimensional Euclidean Spaces
• The glass transition of dense fluids of hard and compressible spheres
• Why is Random Close Packing Reproducible?
• A Landscape Analysis of Constraint Satisfaction Problems
• Compressing nearly hard sphere fluids increases glass fragility
• Do Binary Hard Disks Exhibit an Ideal Glass Transition?
• Mixing effects for the structural relaxation in binary hard-sphere liquids
• Equation of state of non-additive $d$-dimensional hard-sphere mixtures

Cited by in corpus (48)

• Theoretical perspective on the glass transition and amorphous materials
• Close packing density of polydisperse hard spheres
• Pushing the glass transition towards random close packing using self-propelled hard spheres
• Mean-field theory of random close packings of axisymmetric particles
• Fundamental challenges in packing problems: from spherical to non-spherical particles
• Perspective: Configurational entropy of glass-forming liquids
• Stability measures in metastable states with Gaussian colored noise
• Generalized Rosenfeld scalings for tracer diffusivities in not-so-simple fluids: Mixtures and soft particles
• Shear-driven size segregation of granular materials: modeling and experiment
• Random close packing of polydisperse hard spheres
• Exploring the jamming transition over a wide range of critical densities
• Yielding of binary colloidal glasses
• Direct determination of the size of basins of attraction of jammed solids
• Model of random packings of different size balls
• Mapping the jamming transition of bidisperse mixtures
• A simple effective rule to estimate the jamming packing fraction of polydisperse hard spheres
• Estimating random close packing in polydisperse and bidisperse hard spheres via an equilibrium model of crowding
• Quantitative approximation schemes for glasses
• Does the configurational entropy of polydisperse particles exist?
• The Inherent Structure Landscape Connection Between Liquids, Granular materials and the Jamming Phase Diagram
• Structural and Thermodynamic Properties of Hard-Sphere Fluids
• Sub-Jamming Transition in Binary Sphere Mixtures
• Interplay between percolation and glassiness in the random Lorentz gas
• Bypassing sluggishness: SWAP algorithm and glassiness in high dimensions
• Superdiffusion and Transport in 2d-systems with Lévy Like Quenched Disorder
• Additional transition line in jammed asymmetric bidisperse granular packings
• Mean-field caging in a random Lorentz gas
• Confined disordered strictly jammed binary sphere packings
• Connecting packing efficiency of binary hard sphere systems to their intermediate range structure
• Enhancement of stability of metastable states in the presence of Lévy noise
• Bulk Modulus along Jamming Transition Lines of Bidisperse Granular Packings
• Unifying size-topology relations in random packings of dry adhesive polydisperse spheres
• Charging changes contact composition in binary sphere packings
• The autoregressive neural network architecture of the Boltzmann distribution of pairwise interacting spins systems
• Structural transitions in jammed asymmetric bidisperse granular packings
• Effect of particle exchange on the glass transition of binary hard spheres
• Multiple glass transitions and higher order replica symmetry breaking of binary mixtures
• Optimizing Event-Driven Simulations
• Additional jamming transition in 2D bidisperse granular packings
• Theory of simple glasses
• A note on rattlers in amorphous packings of binary mixtures of hard spheres
• Random packing fraction of binary similar particles: Onsager's excluded volume model revisited
• Random packing fraction of binary hyperspheres with small or large size difference: a geometric approach
• A heuristic approach for the densest packing fraction of hard-sphere mixtures
• Consequences of minimizing pair correlations in fluids for dynamics, thermodynamics, and structure
• Predicting random close packing of binary hard-disk mixtures via third-virial-based parameters
• Note: A replica liquid theory of binary mixtures
• Topological and Geometrical Random Walks on Bidisperse Random Sphere Packings