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Percolation of colloids with distinct interaction sites

2010-01Journal article Open access
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dc.contributor.authorTavares, Jose
dc.contributor.authorTeixeira, Paulo
dc.contributor.authorGama, Margarida
dc.date.accessioned2011-11-28T20:04:50Z
dc.date.available2011-11-28T20:04:50Z
dc.date.issued2010-01
dc.description.abstractWe generalize the Flory-Stockmayer theory of percolation to a model of associating (patchy) colloids, which consists of hard spherical particles, having on their surfaces f short-ranged-attractive sites of m different types. These sites can form bonds between particles and thus promote self-assembly. It is shown that the percolation threshold is given in terms of the eigenvalues of a m x m matrix, which describes the recursive relations for the number of bonded particles on the ith level of a cluster with no loops; percolation occurs when the largest of these eigenvalues equals unity. Expressions for the probability that a particle is not bonded to the giant cluster, for the average cluster size and the average size of a cluster to which a randomly chosen particle belongs, are also derived. Explicit results for these quantities are computed for the case f = 3 and m = 2. We show how these structural properties are related to the thermodynamics of the associating system by regarding bond formation as a (equilibrium) chemical reaction. This solution of the percolation problem, combined with Wertheim's thermodynamic first-order perturbation theory, allows the investigation of the interplay between phase behavior and cluster formation for general models of patchy colloids.por
dc.identifier.citationTavares J M, Teixeira P I C, Gama M M T. Percolation of colloids with distinct interaction sites. Physical Review E. 2010; 81 (1): Art. No. 010501 Part 1.por
dc.identifier.issn1539-3755
dc.identifier.urihttp://hdl.handle.net/10400.21/708
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherAmer Physical SOCpor
dc.relation.ispartofseries1;010501
dc.subjectDirectional Attractive Forcespor
dc.subjectMolecular- Size Distributionpor
dc.subjectFluidspor
dc.subjectPolymerspor
dc.titlePercolation of colloids with distinct interaction sitespor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceUSApor
oaire.citation.issue81por
oaire.citation.titlePhysical Review Epor
person.familyNameTavares
person.familyNameTeixeira
person.familyNameTelo da Gama
person.givenNameJose
person.givenNamePaulo
person.givenNameMargarida Maria
person.identifierhttps://scholar.google.pt/citations?user=OrsjRkYAAAAJ&hl=pt-PT
person.identifier.ciencia-id371D-51C6-975C
person.identifier.ciencia-idB31A-0CBD-8AC4
person.identifier.ciencia-idB811-A73C-181F
person.identifier.orcid0000-0002-1509-9707
person.identifier.orcid0000-0003-2315-2261
person.identifier.ridA-2891-2009
person.identifier.ridA-2682-2009
person.identifier.scopus-author-id35621140500
person.identifier.scopus-author-id7005895098
person.identifier.scopus-author-id0000-0001-8849-9990
rcaap.rightsrestrictedAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication21fb8ec6-5b23-4df8-ba97-32256495d24d
relation.isAuthorOfPublication35a012c6-2e8b-402f-9b82-065843fce9aa
relation.isAuthorOfPublication4fde2efd-f48f-4419-b383-74945fb2db28
relation.isAuthorOfPublication.latestForDiscovery21fb8ec6-5b23-4df8-ba97-32256495d24d

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