Spatial correlations in polydisperse, frictionless, two-dimensional packings.
Citation:O'Donovan CB, Möbius ME, Spatial correlations in polydisperse, frictionless, two-dimensional packings., Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 84, 2-1, 2011, 020302
Spatial correlations in polydisperse, frictionless, two-dimensional packings.pdf (Published (publisher's copy) - Peer Reviewed) 268.2Kb
We investigate next-nearest-neighbor correlations of the contact number in simulations of polydisperse, frictionless packings in two dimensions. We find that disks with few contacting neighbors are predominantly in contact with disks that have many neighbors and vice versa at all packing fractions. This counterintuitive result can be explained by drawing a direct analogy to the Aboav-Weaire law in cellular structures. We find an empirical one parameter relation similar to the Aboav-Weaire law that satisfies an exact sum rule constraint. Surprisingly, there are no correlations in the radii between neighboring particles, despite correlations between contact number and radius.
Type of material:Journal Article
Series/Report no:Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Availability:Full text available
Subject (TCD):Nanoscience & Materials