Exact results for the jammed state of binary mixtures of superdisks on the plane
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© 2015 Elsevier B.V. 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.
author list (cited authors)
Švrakić, N. M., Aleksić, B. N., & Belić, M. R.