Cooperative sequential adsorption with nearest-neighbor exclusion and next-nearest neighbor interaction
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2008
- DOI:
- 10.48550/arXiv.0806.0131
- arXiv:
- arXiv:0806.0131
- Bibcode:
- 2008arXiv0806.0131N
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Other Condensed Matter
- E-Print:
- Minor changes to introductory paragraph