ISSN:
1572-9613
Keywords:
Effective dielectric constant
;
cluster integral
;
two-sphere problem
;
random media
;
Claurius-Mossotti formula
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We study in detail the two-particle cluster integral in the cluster expansion for the effective dielectric constant of a suspension of spherically symmetric polarizable inclusions embedded in a uniform medium. Although our form for the integrand differs from that derived earlier by Finkel'berg and by Jeffrey, we show that the integral is equivalent. The two-body dielectric problem for particles with an arbitrary radial dependence of the dielectric constant is solved by an expansion in spherical harmonics. Numerical results for some special models illustrate the importance of multipole contributions to the effective dielectric constant.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01011874
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