Exact results for the jammed state of binary mixtures of superdisks on the plane

N.M. Švrakić, Branislav N. Aleksić and Milivoj R. Belić

Physica A: Statistical Mechanics and its Applications, 2016, vol. 441, issue C, 93-99

Abstract: By analytical and numerical methods we investigate the late stage deposition of binary mixtures of oriented “superdisks” on a plane. Superdisks are objects bounded by Lamé curves |x|2p+|y|2p=1, where deformation parameter p controls their size and shape. For deposition of single-type superdisks, the maximum packing and jamming densities are known to be nonanalytic at p=0.5. For binary mixtures of superdisks, we discover that nonanalyticities form a locus of points separating “phase diagram” of shape combinations into regions with different excluded-area constructions. An analytical expression for this phase boundary and exact constructions of the excluded-areas are presented. The corresponding saturation coverages are obtained by extensive numerical Monte Carlo simulations.

Keywords: Object deposition; Mixtures; Superdisks; Jamming properties; Exact results; Dense packing (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:441:y:2016:i:c:p:93-99

DOI: 10.1016/j.physa.2015.07.004

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