Abstract
We investigate the existence of random close and random loose packing limits in two-dimensional packings of monodisperse hard disks. A statistical mechanics approachbased on several approximations to predict the probability distribution of volumessuggests 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.
Original language | English (US) |
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Pages (from-to) | 5137-5144 |
Number of pages | 8 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 389 |
Issue number | 22 |
DOIs | |
State | Published - Dec 15 2010 |
Externally published | Yes |
Keywords
- Disordered system
- Random packings
- Volume function
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics