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

Physics – Condensed Matter

Scientific paper

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pure LaTeX, 8 pages, LPTB 93-3

Scientific paper

10.1016/0378-4371(93)90180-C

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 Pal\'asti approximation.

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