Three-dimensional site percolation problem and effective-medium theory: A computer study |
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| Authors: | Yoshio Yuge |
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| Institution: | (1) Department of Agricultural Engineering, Faculty of Agriculture, Tokyo University of Agriculture and Technology, Fuchu, Tokyo, Japan |
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| 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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| Keywords: | Site percolation effective-medium theory random resistor network electrical conductivity thermal conductivity Monte Carlo experiment disordered materials |
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