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- W123500577 abstract "The scaling properties of the electrical conductivity (ensuremath{Sigma}) are studied in a binary composite system consisting of metallic silver (Ag) and ceramic copper oxide (${mathrm{YBa}}_{2}$${mathrm{Cu}}_{3}$${mathrm{O}}_{7mathrm{ensuremath{-}}mathrm{ensuremath{delta}}}$). A percolation transition is observed when p, the volume fraction of Ag, is varied systematically from 0% (pure ${mathrm{YBa}}_{2}$${mathrm{Cu}}_{3}$${mathrm{O}}_{7mathrm{ensuremath{-}}mathrm{ensuremath{delta}}}$) to 100% (pure Ag). Far from the percolation threshold (${mathit{p}}_{mathit{c}}$), the conductivity is found to be in good agreement with the prediction of the effective-medium approximation, but an appreciable deviation from that prediction is observed in the vicinity of ${mathit{p}}_{mathit{c}}$. For all the volume fractions (0ensuremath{le}pensuremath{le}100%), the conductivity is described by a scaling form ensuremath{Sigma}=${mathrm{ensuremath{sigma}}}_{mathrm{Ag}}$ensuremath{Vert}p-${mathit{p}}_{mathit{c}}$${mathrm{ensuremath{Vert}}}^{mathit{t}}$${mathrm{ensuremath{Phi}}}_{ifmmodepmelsetextpmfi{}}$(x), where x=(${mathrm{ensuremath{sigma}}}_{mathrm{Y}123}$/${mathrm{ensuremath{sigma}}}_{mathrm{Ag}}$)ensuremath{Vert}p-${mathit{p}}_{mathit{c}}$${mathrm{ensuremath{Vert}}}^{mathrm{ensuremath{-}}(mathit{t}+mathit{s})}$ and t and s are the dc conductivity and superconductivity critical exponents, respectively. We derive the scaling functions from our experimental data to obtain ${mathrm{ensuremath{Phi}}}_{+}$(x)=3/2+7${mathit{x}}^{1/2}$ (valid for 0.001x1.5 and p>${mathit{p}}_{mathit{c}}$) and ${mathrm{ensuremath{Phi}}}_{mathrm{ensuremath{-}}}$(x)=x/3 (0.03x1.5 and p${mathit{p}}_{mathit{c}}$)." @default.
- W123500577 created "2016-06-24" @default.
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- W123500577 date "1992-09-01" @default.
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- W123500577 title "Dynamic scaling of binary composites (Ag-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>YBa</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>Cu</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><…" @default.
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- W123500577 doi "https://doi.org/10.1103/physrevb.46.6040" @default.
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