On the random filling of $R^d$ by non-\-overlapping d-dimensional cubes
Condensed Matter
2009-10-22 v1
Abstract
We compute the time-dependent coverage in the random sequential adsorption of aligned d-dimensional cubes in using time-series expansions. The seventh-order series in 2, 3 and 4 dimensions is resummed in order to predict the coverage at jamming. The result is in agreement with Monte-Carlo simulations. A simple argument, based on a property of the perturbative expansion valid at arbitrary orders, allows us to analytically derive some generalizations of the Pal\'asti approximation.
Cite
@article{arxiv.cond-mat/9302023,
title = {On the random filling of $R^d$ by non-\-overlapping d-dimensional cubes},
author = {B. Bonnier and M. Hontebeyrie and C. Meyers},
journal= {arXiv preprint arXiv:cond-mat/9302023},
year = {2009}
}
Comments
pure LaTeX, 8 pages, LPTB 93-3