Cooperative sequential adsorption with nearest-neighbor exclusion and next-nearest neighbor interaction

C. J. Neugebauer; S. N. Taraskin

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arXiv · 0806.0131

Cooperative sequential adsorption with nearest-neighbor exclusion and next-nearest neighbor interaction

C. J. Neugebauer·S. N. Taraskin

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Abstract

A model for cooperative sequential adsorption that incorporates nearest-neighbor exclusion and next-nearest neighbor interaction is presented. It is analyzed for the case of one-dimensional dimer and two-dimensional monomer adsorption. Analytic solutions found for certain values of the interaction strength are used to investigate jamming coverage and temporal approach to jamming in the one-dimensional case. In two dimensions, the series expansion of the coverage $θ(t)$ is presented and employed to provide estimates for the jamming coverage as a function of interaction strength. These estimates are supported by Monte Carlo simulation results.

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C. J. Neugebauer, S. N. Taraskin. 2009-05-25. Cooperative sequential adsorption with nearest-neighbor exclusion and next-nearest neighbor interaction. https://arxiv.org/abs/0806.0131

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