An analytical expression of the pair distribution function is derived for the car-parking problem and for the random sequential adsorption of K-mers onto a one-dimensional lattice. Both on a lattice and in the continuum limit, super-exponential decay of the distribution function is observed. A comparison of the spatial correlations with those at equilibrium demonstrates the influence of the irreversibility of the RSA process.
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Bonnier et al. (1994) studied this question.
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