Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/4888
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dc.contributorDepartment of Applied Physics-
dc.creatorYu, KW-
dc.date.accessioned2014-12-11T08:27:55Z-
dc.date.available2014-12-11T08:27:55Z-
dc.identifier.issn0021-8979-
dc.identifier.urihttp://hdl.handle.net/10397/4888-
dc.language.isoenen_US
dc.publisherAmerican Institute of Physicsen_US
dc.rights© 1989 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in K. W. Yu, J. Appl. Phys. 65, 3747 (1989) and may be found at http://link.aip.org/link/?jap/65/3747.en_US
dc.subjectAnomalous propertiesen_US
dc.subjectPercolation theoryen_US
dc.subjectRandom walken_US
dc.subjectSuperconducting compositesen_US
dc.subjectDiffusionen_US
dc.subjectScaling lawsen_US
dc.subjectNetwork analysisen_US
dc.subjectElectric conductivityen_US
dc.titleAnomalous transport in random superconducting composite systemsen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage3747-
dc.identifier.epage3755-
dc.identifier.volume65-
dc.identifier.issue10-
dc.identifier.doi10.1063/1.343384-
dcterms.abstractWe have studied anomalous diffusion in the random superconducting network (RSN) with a wide distribution of conductivity. We consider a composite medium of superconducting and normal conducting regions in which the normal conducting component obeys a transfer-rate distribution of the form W ⁻⁽¹⁺ᵅ⁾(0<α<1). In the static (dc) case below the percolation threshold P[sub c], one finds that the dc conductivity varies as (P[sub c]- p)[sup -s'] in the vicinity of P[sub c] with s' = l/α. Above the percolation threshold and in the RSN limit, the superconducting component is considered to possess a large but finite transfer rate W[sub s]. In this limit, the dc conductivity follows the P=P[sub c] behavior for small W[sub s], crossing over to the behavior of ordinary percolation at a crossover value of the superconducting transfer rate W[sub s,co], which is found to vary as (p-p[sub c])⁻⁽¹⁺ᵅ ⁾/ᵅ. The results are in good accord with scaling relations. Right at the percolation threshold, the frequency-dependent conductivity is calculated in the RSN limit. The real part of the conductivity (α[sub R] at low frequencies initially follows the dc behavior, crossing over to the behavior α[sub R]~w¹ ⁻ᵅ at high frequencies. The crossover frequencies are estimated for various relevant regions. The imaginary part of the conductivity (σ₁) has even more complex behaviors. At high frequencies, σ₁varies as W¹ ⁻ᵅ, being the same as the real part. The results are in accord with the scaling relations generalized to finite frequencies. The model is also numerically solved in the effective medium approximation to compare with the analytic results. Good agreements are found.-
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationJournal of applied physics, 15 May 1989, v. 65, no. 10, p. 3747-3755-
dcterms.isPartOfJournal of applied physics-
dcterms.issued1989-05-15-
dc.identifier.isiWOS:A1989U361700001-
dc.identifier.scopus2-s2.0-36549093592-
dc.identifier.eissn1089-7550-
dc.description.oaVersion of Recorden_US
dc.identifier.FolderNumberOA_IR/PIRAen_US
dc.description.pubStatusPublisheden_US
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