# Kinetics of Deposition of Oriented Superdisks

Source: [Kinetics of Deposition of Oriented Superdisks](<https://www.sota2.com/research/paper/68fa30e21e209131ce87956c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:53:42.194Z

Authors: B. N. Aleksi\\'c, N.M. \\v{S}vraki\\'c, M. Beli\\'c

Published: 2013-05-27T06:25:16.000Z

## 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 $\\rho\_{J}$, 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1305.6120>)

[PDF](<https://arxiv.org/pdf/1305.6120.pdf>)