Random sequential adsorption of lattice animals on a three-dimensional cubic lattice

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dc.citation.issue1
dc.citation.rankM21
dc.citation.spage012119
dc.citation.volume101
dc.contributor.authorLončarević, Ivana
dc.contributor.authorBudinski-Petković, Ljuba
dc.contributor.authorŠćepanović, Julija
dc.contributor.authorJakšić, Zorica
dc.contributor.authorVrhovac, Slobodan
dc.date.accessioned2024-06-18T11:46:53Z
dc.date.available2024-06-18T11:46:53Z
dc.date.issued2020-01-14
dc.description.abstractThe properties of the random sequential adsorption of objects of various shapes on simple three-dimensional (3D) cubic lattice are studied numerically by means of Monte Carlo simulations. Depositing objects are "lattice animals," made of a certain number of nearest-neighbor sites on a lattice. The aim of this work is to investigate the impact of the geometrical properties of the shapes on the jamming density θJ and on the temporal evolution of the coverage fraction θ(t). We analyzed all lattice animals of size n=1, 2, 3, 4, and 5. A significant number of objects of size n≥6 were also used to confirm our findings. Approach of the coverage θ(t) to the jamming limit θJ is found to be exponential, θJ-θ(t)∼exp(-t/σ), for all lattice animals. It was shown that the relaxation time σ increases with the number of different orientations m that lattice animals can take when placed on a cubic lattice. Orientations of the lattice animal deposited in two randomly chosen places on the lattice are different if one of them cannot be translated into the other. Our simulations performed for large collections of 3D objects confirmed that σ≅mâ{1,3,4,6,8,12,24}. The presented results suggest that there is no correlation between the number of possible orientations m of the object and the corresponding values of the jamming density θJ. It was found that for sufficiently large objects, changing of the shape has considerably more influence on the jamming density than increasing of the object size.
dc.identifier.doi10.1103/physreve.101.012119
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053
dc.identifier.scopus2-s2.0-85078097513
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/120
dc.identifier.wos000507535400002
dc.language.isoen
dc.publisherAmerican Physical Society (APS)
dc.relation.ispartofPhysical Review E
dc.relation.ispartofabbrPhys. Rev. E
dc.rightsrestrictedAccess
dc.titleRandom sequential adsorption of lattice animals on a three-dimensional cubic lattice
dc.typeArticle
dc.type.versionpublishedVersion
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