Percolation and spatial correlations in a two-dimensional continuum deposition model

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Asikainen, J.
dc.contributor.author Ala-Nissilä, Tapio
dc.date.accessioned 2015-04-28T09:44:50Z
dc.date.available 2015-04-28T09:44:50Z
dc.date.issued 2000
dc.identifier.citation Asikainen, J. & Ala-Nissilä, Tapio. 2000. Percolation and spatial correlations in a two-dimensional continuum deposition model. Physical Review E. Volume 61, Issue 5. P. 5002-5008. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.61.5002. en
dc.identifier.issn 1539-3755 (printed)
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/15803
dc.description.abstract We introduce a two-dimensional continuum deposition model of spatially extended objects, with an effective repulsive contact interaction between them represented by a parameter 0<~q<~1. For q=0, the deposited network is uniformly random, while for q=1 particles are not allowed to overlap. For 0<~q<1, we carry out extensive simulations on fibers, needles, and disks to study the dependence of the percolation threshold on q. We derive expressions for the threshold near q=0 and q=1 and find good qualitative agreement with the simulations. The deposited networks produced by the model display nontrivial density correlations near percolation threshold. These are reflected in the appropriate spatial correlation functions. We study such functions close to q=1 and derive an approximate expression for the pair distribution function. en
dc.format.extent 5002-5008
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society (APS) en
dc.relation.ispartofseries Physical Review E en
dc.relation.ispartofseries Volume 61, Issue 5
dc.rights © 2000 American Physical Society (APS). http://www.aps.org en
dc.subject.other Physics en
dc.title Percolation and spatial correlations in a two-dimensional continuum deposition model en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.rights.holder American Physical Society (APS)
dc.contributor.school Perustieteiden korkeakoulu fi
dc.contributor.school School of Science en
dc.contributor.department Teknillisen fysiikan laitos fi
dc.contributor.department Department of Applied Physics en
dc.subject.keyword two-dimensional continuum deposition models en
dc.subject.keyword spatially extended objects en
dc.subject.keyword fibers en
dc.subject.keyword needles en
dc.subject.keyword disks en
dc.subject.keyword functions en
dc.identifier.urn URN:NBN:fi:aalto-201504282464
dc.type.dcmitype text en
dc.identifier.doi 10.1103/physreve.61.5002
dc.type.version Final published version en


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