Measurement and analysis of a model dual-conductivity medium using a generalised effective-medium theory

The construction and the measurement of the conductivity of a series of two dimensional dual media is described. The conductivity results are shown to obey both the defining relationship for dual media and a recently proposed general effective-media equation, with two morphology parameters, throughout the entire (0-100%) composition range. The two parameters, a critical volume fraction fc and an exponent t, are shown to be related to the morphology of the media and in particular the effective demagnetisation coefficients of the 'grain structure' of the two components. The relationship between these and previous experimental results is also discussed.

[1]  Benjamin Abeles,et al.  Percolation Conductivity in W-Al 2 O 3 Granular Metal Films , 1975 .

[2]  C. Altstetter,et al.  Effects of deformation on hydrogen permeation in austenitic stainless steels , 1986 .

[3]  S. Kirkpatrick Percolation and Conduction , 1973 .

[4]  F. Brouers Percolation threshold and conductivity in metal-insulator composite mean-field theories , 1986 .

[5]  J. Straley Critical exponents for the conductivity of random resistor lattices , 1977 .

[6]  Harrison,et al.  Measurement of elasticity and conductivity of a three-dimensional percolation system. , 1985, Physical review letters.

[7]  Garland,et al.  Measurement of the conductivity exponent in two-dimensional percolating networks: square lattice versus random-void continuum. , 1985, Physical review. B, Condensed matter.

[8]  D. McLachlan,et al.  An equation for the conductivity of binary mixtures with anisotropic grain structures , 1987 .

[9]  D. McLachlan Equation for the conductivity of metal-insulator mixtures , 1985 .

[10]  C. H. Seager,et al.  Percolation and conductivity: A computer study. II , 1974 .

[11]  G. Niklasson,et al.  Optical properties and solar selectivity of coevaporated Co‐Al2O3 composite films , 1984 .

[12]  D. McLachlan,et al.  A new interpretation of percolation conductivity results with large critical regimes , 1986 .

[13]  J. Straley Critical phenomena in resistor networks , 1976 .

[14]  P. N. Sen,et al.  A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads , 1981 .

[15]  T Gebele,et al.  Site percolation threshold for square lattice , 1984 .

[16]  Joseph B. Keller,et al.  A Theorem on the Conductivity of a Composite Medium , 1964 .

[17]  D. McLachlan,et al.  Equations for the conductivity of macroscopic mixtures , 1986 .

[18]  T. Coutts Percolation conduction in mixed insulator-conductor systems , 1976 .

[19]  K. Mendelson,et al.  Effective conductivity of two−phase material with cylindrical phase boundaries , 1975 .

[20]  D. McLachlan,et al.  Equation for the permeability of binary magnetic mixtures , 1987 .