Abstract
We study the asymptotic coverage of a lattice to which particles are randomly and irreversibly attached, under the constraint of nearest neighbor exclusion. After reviewing the case of a one-dimensional lattice, we extend the treatment first to a triangular ladder and then to a square ladder. The former maps onto a previously solved one-dimensional case, the latter does not. We also determine the time-dependent coverage of the square ladder. Implications as to the process on a full 2-dimensional square lattice are discussed.
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Fan, Y., Percus, J.K. Random sequential adsorption on a ladder. J Stat Phys 66, 263–271 (1992). https://doi.org/10.1007/BF01060068
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DOI: https://doi.org/10.1007/BF01060068