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O'Donovan CB, Möbius ME. Spatial correlations in polydisperse, frictionless, two-dimensional packings. Phys Rev E Stat Nonlin Soft Matter Phys. 2011;84(2):020302doi: 10.1103/PhysRevE.84.020302.
O'Donovan, C. B., & Möbius, M. E. (2011). Spatial correlations in polydisperse, frictionless, two-dimensional packings. Physical review. E, Statistical, nonlinear, and soft matter physics, 84(2), 020302. https://doi.org/10.1103/PhysRevE.84.020302
O'Donovan, C B, and Möbius, M E. "Spatial correlations in polydisperse, frictionless, two-dimensional packings." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 84,2 (2011): 020302. doi: https://doi.org/10.1103/PhysRevE.84.020302
O'Donovan CB, Möbius ME. Spatial correlations in polydisperse, frictionless, two-dimensional packings. Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Aug;84(2):020302. doi: 10.1103/PhysRevE.84.020302. Epub 2011 Aug 29. PMID: 21928939.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Aug;84(2):020302. doi: 10.1103/PhysRevE.84.020302. Epub 2011 Aug 29.

Spatial correlations in polydisperse, frictionless, two-dimensional packings.

Physical review. E, Statistical, nonlinear, and soft matter physics

C B O'Donovan, M E Möbius

Affiliations

  1. School of Physics, Trinity College Dublin, Dublin 2, Ireland.

PMID: 21928939 DOI: 10.1103/PhysRevE.84.020302

Abstract

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.

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