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

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 Author Neugebauer, C. J. ♦ Taraskin, S. N. Source arXiv.org Content type Text File Format PDF Date of Submission 2008-06-01 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword Condensed Matter - Statistical Mechanics ♦ Condensed Matter - Other Condensed Matter ♦ physics:cond-mat 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. Educational Use Research Learning Resource Type Article