Effective conductivity of composites of graded spherical particles
Materials Science
2007-05-23 v1 Soft Condensed Matter
Optics
Abstract
We have employed the first-principles approach to compute the effective response of composites of graded spherical particles of arbitrary conductivity profiles. We solve the boundary-value problem for the polarizability of the graded particles and obtain the dipole moment as well as the multipole moments. We provide a rigorous proof of an {\em ad hoc} approximate method based on the differential effective multipole moment approximation (DEMMA) in which the differential effective dipole approximation (DEDA) is a special case. The method will be applied to an exactly solvable graded profile. We show that DEDA and DEMMA are indeed exact for graded spherical particles.
Keywords
Cite
@article{arxiv.cond-mat/0507325,
title = {Effective conductivity of composites of graded spherical particles},
author = {K. W. Yu and G. Q. Gu},
journal= {arXiv preprint arXiv:cond-mat/0507325},
year = {2007}
}
Comments
submitted for publications