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We determined the frequency dependent effective permittivity of a largeternary network of randomly positioned resistors, capacitors, and diodes. Alinear circuit analysis of such systems is shown to match the experimentaldielectric response of single-walled carbon nanotube (SWCNT) filled polymers.This modeling method is able to reproduce the two most important features ofSWCNT filled composites, i.e. the low frequency dispersion and dipolarrelaxation. As a result of the modeling important physical conclusion proved bythe experimental data was done: the low frequency behavior of SWCNT-filledpolymer composites is mostly caused by the fraction of semiconducting SWCNTs.

A study of random resistor-capacitor-diode networks to assess the electromagnetic properties of carbon nanotube filled polymers