Modeling and analysis of the dielectric properties of composite materials using large random RC networks

TL;DR

This paper introduces an efficient method using large random RC networks to analyze the frequency-dependent dielectric properties of composite materials, revealing universal behaviors and consistency across samples.

Contribution

It presents a novel application of the Frank-Lobb reduction scheme to large-scale RC networks for modeling dielectric properties of composites.

Findings

Properties exhibit universal dielectric response patterns.

No variability observed between samples at different frequencies.

Power law behavior is consistent across samples.

Abstract

The paper proposes a simple and efficient method to study the dielectric properties of composite materials modeled using very large random resistor-capacitor (RC) networks. The algorithm is based on the Frank-Lobb reduction scheme and analyses the frequency dependent AC conductivity, permittivity and phase angle of composite materials. The simulation study is based on 1056 samples of random network containing 2*10^6 components randomly positioned in different proportion of capacitors. It has been found that these properties exhibit similarities to the universal dielectric response of dielectric materials. The results show that there is no variability between samples at low and high frequencies and across the power law.