Jamming in two-dimensional packings
arXiv:0808.2192 · doi:10.1016/j.physa.2010.07.030
Abstract
We investigate the existence of random close and random loose packing limits in two-dimensional packings of monodisperse hard disks. A statistical mechanics approach-- based on several approximations to predict the probability distribution of volumes-- suggests the existence of the limiting densities of the jammed packings according to their coordination number and compactivity. This result has implications for the understanding of disordered states in the disk packing problem as well as the existence of a putative glass transition in two dimensional systems.
13 pages, 4 figures
References in corpus (3)
Cited by in corpus (24)
- Explicit Analytical Solution for Random Close Packing in d=2 and d=3
- Jamming II: Edwards' statistical mechanics of random packings of hard spheres
- On universal structural characteristics of granular packs
- How Surface Roughness Affects the Interparticle Interactions at a Liquid Interface
- Edwards thermodynamics of the jamming transition for frictionless packings: ergodicity test and role of angoricity and compactivity
- Phonon Dispersion and Elastic Moduli of Two-Dimensional Disordered Colloidal Packings of Soft Particles with Frictional Interactions
- The disc random packing problem: a disorder criterion and an explicit solution
- Application of Edwards' statistical mechanics to high dimensional jammed sphere packings
- Jammed disks in narrow channel: criticality and ordering tendencies
- A geometric probabilistic approach to random packing of hard disks in a plane
- Disks in a narrow channel jammed by gravity and centrifuge: profiles of pressure, mass density and entropy density
- Complete mathematical theory of the jamming transition: A perspective
- Statistical theory of correlations in random packings of hard particles
- Two-dimensional systems of elongated particles: From diluted to dense
- Random Close Packing of Semi-Flexible Polymers in Two Dimensions: Emergence of Local and Global Order
- Motility and self-organization of gliding Chlamydomonas populations
- Fine-Tuning of Colloidal Polymer Crystals by Molecular Simulation
- Progressive friction mobilization and enhanced Janssen's screening in confined granular rafts
- Crowd Control in Plazas Constrained to Social Distancing
- Additional jamming transition in 2D bidisperse granular packings
- Jammed disks of two sizes and weights in a channel: Alternating sequences
- Effective one-component model of binary mixture: molecular arrest induced by the spatially correlated stochastic dynamics
- Predicting random close packing of binary hard-disk mixtures via third-virial-based parameters
- Soft meets hard -- how does freeze-thaw cycling affect the microstructure of particle-stabilised emulsions?