On the random filling of Rd by non-\-overlapping d-dimensional cubes
Abstract
We compute the time-dependent coverage in the random sequential adsorption of aligned d-dimensional cubes in Rd 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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