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Kinetics of deposition of oriented superdisks

2013; American Physical Society; Volume: 88; Issue: 6 Linguagem: Inglês

10.1103/physreve.88.062112

1550-2376

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

Advanced Thermodynamics and Statistical Mechanics

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 $\rho_{J}$, 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.