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Comparison between the Torquato-Rintoul theory of the interface effect in composite media and elementary results

Liang Fu·Lorenzo Resca
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Abstract

We show that the interface effect on the properties of composite media recently proposed by Torquato and Rintoul (TR) [Phys. Rev. Lett. 75, 4067 (1995)] is in fact elementary, and follows directly from taking the limit in the dipolar polarizability of a coated sphere: the TR ``critical values'' are simply those that make the dipolar polarizability vanish. Furthermore, the new bounds developed by TR either coincide with the Clausius-Mossotti (CM) relation or provide poor estimates. Finally, we show that the new bounds of TR do not agree particularly well with the original experimental data that they quote.

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Liang Fu, Lorenzo Resca. 1996-09-20. Comparison between the Torquato-Rintoul theory of the interface effect in composite media and elementary results. https://doi.org/10.1103/physrevb.56.5032

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