Model of correlated sequential adsorption of colloidal particles

R. Pastor-Satorras and J. M. Rubí
Phys. Rev. E 64, 016103 – Published 11 June 2001
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Abstract

We present results of a 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 σ. The model interpolates between free ballistic adsorption in the limit σ and a strongly correlated phase, appearing for σ0 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 σc. 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.

  • Received 5 February 2001

DOI:https://doi.org/10.1103/PhysRevE.64.016103

©2001 American Physical Society

Authors & Affiliations

R. Pastor-Satorras1 and J. M. Rubí2

  • 1Department de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Campus Nord, Mòdul B4, 08034 Barcelona, Spain
  • 2Department de Física Fonamental, Facultat de Física—CER Física Sistemes Complexos, Universitat de Barcelona, Av. Diagonal 647, 08028 Barcelona, Spain

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Vol. 64, Iss. 1 — July 2001

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