Abstract
A site percolation approach to classical transport in disordered two-phase materials is presented. A Monte Carlo computer experiment gives the bulk conductivity of a 30 x 30 x 30 site simple cubic resistor network consisting of two kinds of unit resistor with different conductance. A modified effective-medium theory predicts very accurately the bulk conductivity of the network. This theory is found to agree well with available data for the thermal conductivity of real two-phase materials: glass particle-silicon rubber; glass fiber-plastics; air-saturated porous sandstone; and air-saturated fire brick.
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Yuge, Y. Three-dimensional site percolation problem and effective-medium theory: A computer study. J Stat Phys 16, 339–348 (1977). https://doi.org/10.1007/BF01020426
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DOI: https://doi.org/10.1007/BF01020426