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arXiv · 1311.4786

Exact results for deposition of binary mixtures of superdisks on the plane

N. M. Švrakić·B. N. Aleksić·M. Belić
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Abstract

We investigate the deposition of binary mixtures of oriented superdisks on a plane. Superdisks are chosen as objects bounded by $|x|^{2p}+|y|^{2p}=1$, where parameter $p$ controls their size and shape. For single-type superdisks, the maximum packing and jamming densities are known to be nonanalytic at $p=0.5$. For binary mixtures, 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.

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N. M. Švrakić, B. N. Aleksić, M. Belić. 2013-11-19. Exact results for deposition of binary mixtures of superdisks on the plane. https://arxiv.org/abs/1311.4786

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