Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/5400
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dc.contributorDepartment of Applied Physics-
dc.creatorYu, KW-
dc.date.accessioned2014-12-11T08:25:42Z-
dc.date.available2014-12-11T08:25:42Z-
dc.identifier.issn1098-0121-
dc.identifier.urihttp://hdl.handle.net/10397/5400-
dc.language.isoenen_US
dc.publisherAmerican Physical Societyen_US
dc.rightsPhysical Review B © 1986 The American Physical Society. The Journal's web site is located at http://prb.aps.org/en_US
dc.subjectDiffusionen_US
dc.subjectElectrical conductivityen_US
dc.subjectLattice theory and statisticsen_US
dc.subjectPercolationen_US
dc.subjectScaling phenomenaen_US
dc.titleAnomalous transport in lattice and continuum percolating systemsen_US
dc.typeJournal/Magazine Articleen_US
dc.description.otherinformationAuthor name used in this publication: K. W. Yuen_US
dc.identifier.spage7748-
dc.identifier.epage7752-
dc.identifier.volume33-
dc.identifier.issue11-
dc.identifier.doi10.1103/PhysRevB.33.7748-
dcterms.abstractAnomalous diffusion is studied on a certain class of percolation models in which the diffusion properties arise both from the underlying network and from the singular distribution of transfer rates. Scaling arguments parallel to those of Kogut and Straley lead to nonuniversal modifications of the dynamical exponents. The scaling results are demonstrated in a Sierpiński honeycomb and in the effective-medium theory and explicit values for the exponents are obtained. The diffusion-coefficient exponent and the spectral dimension are found to be 2/(1-a) and 2(1-a)/(2-a), respectively, (0<a<1) in the effective-medium theory, with values being significantly different from the corresponding ones in ordinary percolation. As a concrete example, the frequency-dependent conductivity has been calculated for a three-dimensional cubic network and several interesting crossover behaviors are obtained.-
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationPhysical review. B, Condensed matter and materials physics, 1 June 1986, v. 33, no. 11, p. 7748–7752-
dcterms.isPartOfPhysical review. B, Condensed matter and materials physics-
dcterms.issued1986-06-01-
dc.identifier.isiWOS:A1986C596700039-
dc.identifier.scopus2-s2.0-35949025053-
dc.identifier.eissn1550-235X-
dc.description.oaVersion of Recorden_US
dc.identifier.FolderNumberOA_IR/PIRAen_US
dc.description.pubStatusPublisheden_US
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