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Site-bond percolation in the description of electrical transport properties of thick resistive films

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  • Kusy, A.
  • Kolek, A.

Abstract

A modified site-bond percolation network with three-point conductance distribution g = 0, g = 1, g = h ≪ 1 recently used for explanation of resistance vs. temperature characteristics of thick resistive films (TRF's) has been defined. A Monte Carlo real space renormalization group technique for the 3D case has been developed and used to study the relation of the network conductivity, σ, vs. conducting component concentration, s. The “s-dependent” conductivity exponent t̂(s) = d lg σ/d lg(s − sc) has been calculated for s greater than the percolation threshold sc. It has been shown that above the critical region the exponent t̂(s) strongly increases from the universal critical value t = t̂(s → sc). Using these results the apparently large values of the exponent t as obtained in result of TRF's experimental data approximation by the equation σ ∝ (ν − νc)t have been discussed.

Suggested Citation

  • Kusy, A. & Kolek, A., 1989. "Site-bond percolation in the description of electrical transport properties of thick resistive films," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 130-134.
    • Handle: RePEc:eee:phsmap:v:157:y:1989:i:1:p:130-134
    DOI: 10.1016/0378-4371(89)90287-2
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    1. P. G. Smith & M. C. Pike & A. P. Hill & N. E. Breslow & N. E. Day, 1981. "Multivariate Conditional Logistic Analysis of Stratum‐Matched Case‐Control Studies," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 30(2), pages 190-197, June.
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