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arXiv · 1305.6120

Kinetics of Deposition of Oriented Superdisks

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

We use numerical Monte Carlo simulation to study kinetics of deposition of oriented superdisks, bounded by the Lame curves of the form $|x|^{2p}+|y|^{2p}=1$, on regular planar substrate. It was recently shown that the maximum packing density, as well as jamming density $ρ_{J}$, exhibit discontinuous derivative at $p=0.5$, when the shape changes from convex to concave form. By careful examination of the late-stage approach to the jamming limit, we find that the leading term in temporal development is also nonanalytic at $p=0.5$, and offer heuristic excluded-area arguments for this behavior.

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B. N. Aleksić, N. M. Švrakić, M. Belić. 2013-11-19. Kinetics of Deposition of Oriented Superdisks. https://doi.org/10.1103/physreve.88.062112

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