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A model for cooperative sequential adsorption that incorporatesnearest-neighbor exclusion and next-nearest neighbor interaction is presented.It is analyzed for the case of one-dimensional dimer and two-dimensionalmonomer adsorption. Analytic solutions found for certain values of theinteraction strength are used to investigate jamming coverage and temporalapproach to jamming in the one-dimensional case. In two dimensions, the seriesexpansion of the coverage $\theta(t)$ is presented and employed to provideestimates for the jamming coverage as a function of interaction strength. Theseestimates are supported by Monte Carlo simulation results.

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