The connection between percolation and dielectric mixing rules is the focus in this study. Percolation is identified as an abrupt change in permittivity or conductivity of a heterogeneous material as the volume fraction changes. It is shown that mixing rules, that can be presented in a compact form in a general mixing formula, are able to predict percolation. The connection between the mixing rule and its percolation threshold is found to be a simple law. The conductivity percolation obeys the same threshold. Numerical illustrations confirm the results. Also the effect of the spatial dimension of the mixture is analyzed.
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Sihvola et al. (1994) studied this question.
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