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Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Dec;78(6):061603. doi: 10.1103/PhysRevE.78.061603. Epub 2008 Dec 11.

Random sequential adsorption of polydisperse mixtures on discrete substrates.

Physical review. E, Statistical, nonlinear, and soft matter physics

Lj Budinski-Petković, S B Vrhovac, I Loncarević

Affiliations

  1. Faculty of Engineering, Trg D. Obradovi?a 6, 21000 Novi Sad, Serbia.

PMID: 19256849 DOI: 10.1103/PhysRevE.78.061603

Abstract

We study random sequential adsorption of polydisperse mixtures of extended objects both on a triangular and on a square lattice. The depositing objects are formed by self-avoiding random walks on two-dimensional lattices. Numerical simulations were performed to determine the influence of the number of mixture components and length of the shapes making the mixture on the kinetics of the deposition process. We find that the late stage deposition kinetics follows an exponential law theta(t) approximately theta_{jam}-Aexp(-tsigma) not only for the whole mixture, but also for the individual components. We discuss in detail how the quantities such as jamming coverage theta_{jam} and the relaxation time sigma depend on the mixture composition. Our results suggest that the order of symmetry axis of the shape may exert a decisive influence on adsorption kinetics of each mixture component.

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