Extracting spectral density function of a binary composite without a-priori assumption
Abstract
The spectral representation separates the contributions of geometrical arrangement (topology) and intrinsic constituent properties in a composite. The aim of paper is to present a numerical algorithm based on the Monte Carlo integration and contrainted-least-squares methods to resolve the spectral density function for a given system. The numerical method is verified by comparing the results with those of Maxwell-Garnett effective permittivity expression. Later, it is applied to a well-studied rock-and-brine system to instruct its utility. The presented method yields significant microstructural information in improving our understanding how microstructure influences the macroscopic behaviour of composites without any intricate mathematics.
Cite
@article{arxiv.cond-mat/0403243,
title = {Extracting spectral density function of a binary composite without a-priori assumption},
author = {Enis Tuncer},
journal= {arXiv preprint arXiv:cond-mat/0403243},
year = {2007}
}
Comments
4 pages, 5 figures and 1 table