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

C. J. Neugebauer; S. N. Taraskin

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

Statistical Mechanics 2009-05-25 v2 Other Condensed Matter

Authors: C. J. Neugebauer , S. N. Taraskin

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 $\theta(t)$ 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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@article{arxiv.0806.0131,
  title  = {Cooperative sequential adsorption with nearest-neighbor exclusion and next-nearest neighbor interaction},
  author = {C. J. Neugebauer and S. N. Taraskin},
  journal= {arXiv preprint arXiv:0806.0131},
  year   = {2009}
}

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

Abstract

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