Effective dielectric response of dispersions of graded particles

Abstract

Based upon our compact group approach and the Hashin-Shtrikman variational theorem, we propose a new 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.

8 pages, 4 figures, extended version

References in corpus (4)

• Electrorotation in graded colloidal suspensions
• Effective conductivity of composites of graded spherical particles
• Finding the effective structure parameters for suspensions of nano-sized insulating particles from low-frequency impedance measurements
• Compact Group Approach to the Analysis of Dielectric and Optical Characteristics of Finely Dispersed Systems and Liquids

Cited by in corpus (5)

• A mesoscopic model for the effective electrical conductivity of composite polymeric electrolytes
• Rigorously solvable model for the electrical conductivity of dispersions of hard-core-penetrable-shell particles and its applications
• On applicability of differential mixing rules for statistically homogeneous and isotropic dispersions
• Effect of the electrical double layer on the electrical conductivity of suspensions
• Determination of zeta-potential of nanofluids based on electrolyte solutions from the measurements by the methods of electrical spectroscopy and laser correlation spectroscopy