Vanishing Loss Effect on the Effective ac Conductivity behavior for 2D Composite Metal-Dielectric Films At The Percolation Threshold

TL;DR

This paper investigates how vanishing losses affect the effective AC conductivity in 2D metal-dielectric composites at the percolation threshold, highlighting limitations of effective medium theory in capturing fluctuations.

Contribution

It reveals the impact of loss vanishing on conductivity behavior and emphasizes the importance of fluctuations beyond average values in effective medium theory.

Findings

Effective medium theory neglects fluctuations in vanishing loss limit.

Fluctuations relate to field energy distribution in composites.

Study focuses on imaginary part of AC conductivity at percolation threshold.

Abstract

We study the imaginary part of the effective $ac$ conductivity as well as its distribution probability for vanishing losses in 2D composites. This investigation showed that the effective medium theory provides only informations about the average conductivity, while its fluctuations which correspond to the field energy in this limit are neglected by this theory.