Extracting spectral density function of a binary composite without a-priori assumption

Details Extracting spectral density function of a binary composite without a-priori assumption Extracting spectral density function of a binary composite without a-priori assumption

2004-03-09

arxiv.org/abs/cond-mat/0403243v1

Physical Review B 71 (2005) 012101.

Physics

Condensed Matter

Other Condensed Matter

4 pages, 5 figures and 1 table

Scientific paper

10.1103/PhysRevB.71.012101

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.

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