The Study of Percolation with the Presence of Extended Impurities

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dc.citation.issue9
dc.citation.rankM21a
dc.citation.spage093202
dc.citation.volume2017
dc.contributor.authorLončarević, Ivana
dc.contributor.authorBudinski-Petković, Ljuba
dc.contributor.authorDujak, Dijana
dc.contributor.authorKarač, Aleksandar
dc.contributor.authorJakšić, Zorica
dc.contributor.authorVrhovac, Slobodan
dc.date.accessioned2024-07-26T13:06:46Z
dc.date.available2024-07-26T13:06:46Z
dc.date.issued2017-09-18
dc.description.abstractIn the preceding paper, Budinski-Petković et al (2016 J. Stat. Mech. 053101) studied jamming and percolation aspects of random sequential adsorption of extended shapes onto a triangular lattice initially covered with point-like impurities at various concentrations. Here we extend this analysis to needle-like impurities of various lengths ℓ. For a wide range of impurity concentrations p, percolation threshold θp∗ is determined for k-mers, angled objects and triangles of two different sizes. For sufficiently large impurities, percolation threshold θp∗ of all examined objects increases with concentration p, and this increase is more prominent for impurities of a larger length ℓ. We determine the critical concentrations of pc∗ defects above which it is not possible to achieve percolation for a given object, for impurities of various lengths ℓ. It is found that the critical concentration pc∗ of finite-size impurities decreases with the length ℓ of impurities. In the case of deposition of larger objects an exception occurs for point-like impurities when critical concentration pc∗ of monomers is lower than pc∗ for the dimer impurities. At relatively low concentrations p, the presence of small impurities (but not point-like) stimulates the percolation for larger depositing objects.
dc.identifier.doi10.1088/1742-5468/aa82c0
dc.identifier.issn1742-5468
dc.identifier.scopus2-s2.0-85032258235
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/185
dc.identifier.wos000411251700001
dc.language.isoen
dc.publisherInstitute of Physics Publishing
dc.relation.ispartofJournal of Statistical Mechanics: Theory and Experiment
dc.relation.ispartofabbrJ. Stat. Mech.: Theory Exp.
dc.rightsopenAccess
dc.titleThe Study of Percolation with the Presence of Extended Impurities
dc.typeArticle
dc.type.versionpublishedVersion
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