Effective dielectric response of dispersions of graded particles
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Published on: April 9, 2016
1Department of Theoretical Physics and Astronomy, Mechnikov National University, 2 Dvoryanska St., Odesa 65026, Ukraine.
Abstract:
Based upon our compact group approach and the Hashin-Shtrikman variational theorem, we propose a solution, which effectively incorporates many-particle effects in concentrated systems, to the problem of the effective quasistatic permittivity of dispersions of graded dielectric particles. After the theory is shown to recover existing analytical results and simulation data for dispersions of hard dielectric spheres with power-law permittivity profiles, we use it to describe the effective dielectric response of nonconducting polymer-ceramic composites modeled as dispersions of dielectric core-shell particles. Possible generalizations of the results are specified.
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