Model of random packings of different size balls
arXiv:1006.1115 · doi:10.1103/PhysRevE.81.051303
Abstract
We develop a model to describe the properties of random assemblies of polydisperse hard spheres. We show that the key features to describe the system are (i) the dependence between the free volume of a sphere and the various coordination numbers between the species, and (ii) the dependence of the coordination numbers with the concentration of species; quantities that are calculated analytically. The model predicts the density of random close packing and random loose packing of polydisperse systems for a given distribution of ball size and describes packings for any interparticle friction coefficient. The formalism allows to determine the optimal packing over different distributions and may help to treat packing problems of non-spherical particles which are notoriously difficult to solve.
6 pages, 6 figures
Cited by in corpus (14)
- Mean-field theory of random close packings of axisymmetric particles
- Fundamental challenges in packing problems: from spherical to non-spherical particles
- Edwards thermodynamics of the jamming transition for frictionless packings: ergodicity test and role of angoricity and compactivity
- Jamming of Bidisperse Frictional Spheres
- Large-scale frictionless jamming with power-law particle size distributions
- Confined disordered strictly jammed binary sphere packings
- Connecting packing efficiency of binary hard sphere systems to their intermediate range structure
- Application of Edwards' statistical mechanics to high dimensional jammed sphere packings
- Statistical theory of correlations in random packings of hard particles
- Unifying size-topology relations in random packings of dry adhesive polydisperse spheres
- Jammed disks of two sizes and weights in a channel: Alternating sequences
- Calculation of the Voronoi boundary for lens-shaped particles and spherocylinders
- 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