In the final jammed state of the random sequential adsorption of dimers on a one-dimensional lattice, the average gap neighbouring a particle that originally adsorbed at time t is e -t e-e e(-tt ). Thus, the average final gap adjacent to the first particle to adsorb is e -1 , while that for the last particle is infinitesimally small. This result shows that there remains a (statistically) measurable imprint of the sequence of arrival frozen into the RSA system.
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Robert M. Ziff (1994) studied this question.
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