Effective conductivity of composites of graded spherical particles

Details Effective conductivity of composites of graded spherical particles Effective conductivity of composites of graded spherical particles

2005-07-14

arxiv.org/abs/cond-mat/0507325v1

Phys. Lett. A 345, 448 (2005)

Physics

Condensed Matter

Materials Science

submitted for publications

Scientific paper

10.1016/j.physleta.2005.07.037

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.

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