Analogy between dielectric relaxation and dielectric mixtures: Application of the spectral density representation

TL;DR

This paper introduces a spectral density representation tailored for dielectric relaxation, enabling the use of existing models and tools to analyze the electrical properties of dielectric mixtures more effectively.

Contribution

It derives a new spectral density expression specifically designed for dielectric relaxation, bridging the gap between mixture analysis and relaxation phenomena.

Findings

Spectral density representation can be applied to dielectric relaxation.

Existing models can be adapted for this new spectral form.

Enhanced analysis of dielectric mixtures' electrical properties.

Abstract

The spectral representation is an effecient tool to explore electrical properties of material mixtures. It separates the contributions of geometrical topology and intrinsic properties of the constituents in the system. The aim of this paper is to derive an expression for the spectral density representation, which favors dielectric relaxation phenomenon. This unfamiliar form is distinct in a way that the existing dielectric relaxation models and data analysis tools can be employed for extracting the spectral density function of a given system.