Random packing of spheres in Menger sponge
Materials Science
2013-10-17 v2
Abstract
Random packing of spheres inside fractal collectors of dimension 2 < d < 3 is studied numerically using Random Sequential Adsorption (RSA) algorithm. The paper focuses mainly on the measurement of random packing saturation limit. Additionally, scaling properties of density autocorrelations in the obtained packing are analyzed. The RSA kinetics coefficients are also measured. Obtained results allow to test phenomenological relation between random packing saturation density and collector dimension. Additionally, performed simulations together with previously obtained results confirm that, in general, the known dimensional relations are obeyed by systems having non-integer dimension, at least for d < 3.
Keywords
Cite
@article{arxiv.1303.2528,
title = {Random packing of spheres in Menger sponge},
author = {Michał Cieśla and Jakub Barbasz},
journal= {arXiv preprint arXiv:1303.2528},
year = {2013}
}
Comments
13 pages, 6 figures