Duality and Effective Conductivity of Random Two-Phase Flat Systems

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dc.creatorBulgadaev, S. A.
dc.date2004-03-10
dc.date.accessioned2026-07-07T02:56:53Z
dc.date.available2026-07-07T02:56:53Z
dc.descriptionThe possible functional forms of the effective conductivity sigma_e of the randomly inhomogeneous two-phase systems at arbitrary values of concentrations are discussed. Two explicit approximate expressions for effective conductivity are found using a duality relation, a series expansion of sigma_e in the inhomogeneity parameter z and some additional conjectures about functional form of sigma_e. They differ from the effective medium approximation, satisfy all necessary requirements and reproduce the known formulas for sigma_e in weakly inhomogeneous case. This can signify also that sigma_e of the two-phase randomly inhomogeneous systems may be a nonuniversal function, depending on some details of the structure of the random inhomogeneities.
dc.description9 pages, 1 figure, Latex2e
dc.identifierhttps://arxiv.org/abs/cond-mat/0403272
dc.identifierhttp://arxiv.org/abs/cond-mat/0403272
dc.identifierPhys.Lett. A 313 (2003) 106 - 111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23503
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleDuality and Effective Conductivity of Random Two-Phase Flat Systems
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