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

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

1996-09-20

arxiv.org/abs/cond-mat/9609207v1

Physics

Condensed Matter

13 pages, Revtex, 8 Postscript figures

Scientific paper

10.1103/PhysRevB.56.5032

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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