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July 15, 1983Physical review. B, Condensed matter142 citations

Enhancement of the dielectric constant near a percolation threshold

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DWDavid WilkinsonJLJ. S. LangerPSPabitra N. Sen

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Abstract

When one of the components of a mixture of two materials is a conductor, geometrical effects can lead to a dielectric constant for the mixture which is much greater than that of either constituent. Here we illustrate a simple example of this effect in a two-dimensional network consisting of randomly placed conductors and capacitors. The dielectric enhancement is obtained as a function of frequency and the concentration of conductors. The calculational technique used is the position-space renormalization group in which smaller units are combined iteratively to form larger units.

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Cite This Study

Wilkinson et al. (1983) studied this question.

synapsesocial.com/papers/6a9096fae02ba012352dcc9bhttps://doi.org/10.1103/physrevb.28.1081
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