On the random filling of $R^d$ by non-\-overlapping d-dimensional cubes

B. Bonnier; M. Hontebeyrie; C. Meyers

doi:10.1016/0378-4371(93)90180-C

paper

On the random filling of $R^{d}$ by non-\-overlapping d-dimensional cubes

arXiv:cond-mat/9302023 · doi:10.1016/0378-4371(93)90180-C

Abstract

We compute the time-dependent coverage in the random sequential adsorption of aligned d-dimensional cubes in $R^{d}$ 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 Palásti approximation.

arXiv commentpure LaTeX, 8 pages, LPTB 93-3

On the random filling of Rd by non-\-overlapping d-dimensional cubes

Abstract

Cited by in corpus (4)

On the random filling of $R^{d}$ by non-\-overlapping d-dimensional cubes