On micro-structural effects in dielectric mixtures

TL;DR

This paper investigates how micro-structural variations influence the dielectric properties of composite materials through numerical simulations, spectral density analysis, and parameter studies, providing insights for material design.

Contribution

It introduces a spectral density approach to analyze structural effects and presents a numerical technique for spectral density extraction without prior assumptions.

Findings

Structural parameters significantly affect dielectric properties.

Spectral density approach effectively characterizes structural differences.

Numerical method accurately extracts spectral density functions.

Abstract

The paper presents numerical simulations performed on dielectric properties of two-dimensional binary composites on eleven regular space filling tessellations. First, significant contributions of different parameters, which play an important role in the electrical properties of the composite, are introduced both for designing and analyzing material mixtures. Later, influence of structural differences and intrinsic electrical properties of constituents on the composite's over all electrical properties are investigated. The structural differences are resolved by the spectral density representation approach. The numerical technique, without any {\em a-priori} assumptions, for extracting the spectral density function is also presented.