# Random Sequential Adsorption on Fractals

Source: [Random Sequential Adsorption on Fractals](<https://www.sota2.com/research/paper/68fa2b791e209131ce8470ac>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T14:12:43.186Z

Authors: Michal Ciesla, Jakub Barbasz

Published: 2012-05-17T10:21:44.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1205.3897>)

[PDF](<https://arxiv.org/pdf/1205.3897.pdf>)