A phenomenological model to analyze the transport phenomena in inhomogeneous materials is proposed and applied to the measured thermal conductivity of Ag-doped Bi–Sr–Ca–Cu–O (Bi2212) superconducting oxide. Based on the model, the effective ratios of the doped Ag amount in the grain boundary to that inside of the grain are determined to be 0.75:1.0 for a Bi2212+15 wt%Ag specimen and 0.85:1.0 for a Bi2212+10 wt%Ag specimen. The model analyses indicate that doped Ag particles preferentially occupy the grain boundaries, contributing to the formation of the linked Ag heat path in the oxides.
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