A formula for dielectric mixtures

TL;DR

This paper introduces a new dielectric mixture formula based on relaxation phenomena and spectral density, useful for analyzing composite materials and providing structural insights, especially in complex, highly filled systems.

Contribution

A novel dielectric mixture expression derived from relaxation phenomena and spectral density, offering an alternative to existing homogenization formulas.

Findings

The expression accurately models dielectric properties of various composites.

It provides structural information even for highly filled, bi-percolating systems.

It serves as an effective alternative to traditional homogenization formulas.

Abstract

Dielectric properties of material mixtures are of importance in diagnostics, characterization and design of systems in various engineering fields. In this Letter, we propose a peculiar dielectric mixture expression, which is based on the dielectric relaxation phenomena and the spectral density representation [E. Tuncer J. Phys. Condens. Matter 17(12) L125 (2005)]. The expression is tested on several composite systems. Results illustrate that the proposed expression can be used to obtain valuable structural informations in composites, even for highly filled, bi-percolating, systems. Lastly, the proposed expression is an alternative to other existing homogenization formulas in the literature.