Dielectric virial expansion of polarizable dipolar spheres.

Huada Lian, Jian Qin, Karl F Freed
Author Information
  1. Huada Lian: Department of Materials Science and Engineering, Stanford University, Stanford, California 94305, USA.
  2. Jian Qin: Department of Chemical Engineering, Stanford University, Stanford, California 94305, USA. ORCID
  3. Karl F Freed: James Franck Institute, University of Chicago, Chicago, Illinois 60637, USA.

Abstract

The dielectric virial expansion is developed for composite systems with embedded interacting dielectric dipolar spheres. Introducing a multiple-scattering expansion for the polarization energy in the presence of an external field enables the derivation of a virial expansion for the polarizability. Substituting the polarizability into the Clausius-Mossotti relation yields the virial series for the effective medium permittivity. When the dipole moment of the particles or inclusions vanishes, the leading-order term in the series reduces to the Maxwell-Garnett mixing rule, whereas the higher-order terms provide corrections that become important at higher densities. The dielectric virial coefficients are readily evaluated by replacing the surface charge contributions with image lines. Numerical data are presented for the second virial coefficients to illustrate the effects of polarization.

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Grants

  1. R01 GM055694/NIGMS NIH HHS
  2. R29 GM055694/NIGMS NIH HHS

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