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Model of correlated sequential adsorption of colloidal particles
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We present results of a new model of sequential adsorption in which the adsorbing particles are correlated with the particles attached to the substrate. The strength of the correlations is measured by a tunable parameter $\sigma$. The model interpolates between free ballistic adsorption in the limit $\sigma\to\infty$ and a strongly correlated phase, appearing for $\sigma\to0$ and characterized by the emergence of highly ordered structures. The phenomenon is manifested through the analysis of several magnitudes, as the jamming limit and the particle-particle correlation function. The effect of correlations in one dimension manifests in the increased tendency to particle chaining in the substrate. In two dimensions the correlations induce a percolation transition, in which a spanning cluster of connected particles appears at a certain critical value $\sigma_c$. Our study could be applicable to more general situations in which the coupling between correlations and disorder is relevant, as for example, in the presence of strong interparticle interactions.
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PASTOR-SATORRAS, R. (Romualdo) and RUBÍ CAPACETI, José Miguel. Model of correlated sequential adsorption of colloidal particles. Physical Review e. 2001. Vol. 64, num. 1, pags. 016103-1-016103-5. ISSN 1063-651X. [consulted: 16 of June of 2026]. Available at: https://hdl.handle.net/2445/18819