Random Sequential Adsorption on Fractals

Abstract

Irreversible adsorption of spheres on flat collectors having dimension $d<2$ is studied. Molecules are adsorbed on Sierpinski's Triangle and Carpet like fractals ($1<d<2$), and on General Cantor Set ($d<1$). Adsorption process is modeled numerically using Random Sequential Adsorption (RSA) algorithm. The paper concentrates on measurement of fundamental properties of coverages, i.e. maximal random coverage ratio and density autocorrelation function, as well as RSA kinetics. Obtained results allow to improve phenomenological relation between maximal random coverage ratio and collector dimension. Moreover, simulations show that, in general, most of known dimensional properties of adsorbed monolayers are valid for non-integer dimensions.

12 pages, 8 figures

References in corpus (5)

• Random Sequential Addition of Hard Spheres in High Euclidean Dimensions
• Random Sequential Adsorption of Mixtures of Dimers and Monomers on a Pre-Treated Bethe Lattice
• On the fluctuations of jamming coverage upon random sequential adsorption on homogeneous and heterogeneous media
• RSA Study of Dimers
• Polydisperse Adsorption: Pattern Formation Kinetics, Fractal Properties, and Transition to Order

Cited by in corpus (11)

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• Random packing of regular polygons and star polygons on a flat two-dimensional surface
• Properties of random sequential adsorption of generalized dimers
• Random packing of spheres in Menger sponge
• Scaling properties of the number of random sequential adsorption iterations needed to generate saturated random packing
• Random sequential adsorption on Euclidean, fractal and random lattices
• Kinetics of random sequential adsorption of nearly spherically symmetric particles
• Random sequential adsorption of tetramers
• Random sequential adsorption of spheres on a cylinder
• Percolation connectivity in deposits obtained using competitive random sequential adsorption of binary disk mixtures