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Saturated random packing built of arbitrary polygons under random sequential adsorption protocol

Computational Physics 2019-12-25 v1 Materials Science

Abstract

Random packings and their properties are a popular and active field of research. Numerical algorithms that can efficiently generate them are useful tools in their study. This paper focuses on random packings produced according to the random sequential adsorption (RSA) protocol. Developing the idea presented in [G. Zhang, Phys. Rev. E {\bf 97}, 043311 (2018)], where saturated random packings built of regular polygons were studied, we create an algorithm that generates strictly saturated packings built of any polygons. Then, the algorithm was used to determine the packing fractions for arbitrary triangles. The highest mean packing density, 0.552814±0.0000630.552814 \pm 0.000063, was observed for triangles of side lengths 0.63:1:10.63:1:1. Additionally, microstructural properties of such packings, kinetics of their growth as well as distributions of saturated packing fractions and the number of RSA iterations needed to reach saturation were analyzed.

Keywords

Cite

@article{arxiv.1911.12626,
  title  = {Saturated random packing built of arbitrary polygons under random sequential adsorption protocol},
  author = {Michał Cieśla and Piotr Kubala and Ge Zhang},
  journal= {arXiv preprint arXiv:1911.12626},
  year   = {2019}
}

Comments

7 pages, 13 figures

R2 v1 2026-06-23T12:29:56.066Z