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.
Skip Nav Destination
Article navigation
28 October 2018
Research Article|
August 09 2018
Dielectric virial expansion of polarizable dipolar spheres
Special Collection:
Chemical Physics of Charged Macromolecules
Huada Lian;
Huada Lian
1
Department of Materials Science and Engineering, Stanford University
, Stanford, California 94305, USA
Search for other works by this author on:
Jian Qin
;
Jian Qin
a)
2
Department of Chemical Engineering, Stanford University
, Stanford, California 94305, USA
Search for other works by this author on:
Karl F. Freed
Karl F. Freed
3
James Franck Institute, University of Chicago
, Chicago, Illinois 60637, USA
4
Department of Chemistry, University of Chicago
, Chicago, Illinois 60637, USA
Search for other works by this author on:
a)
Electronic mail: jianq@stanford.edu
J. Chem. Phys. 149, 163332 (2018)
Article history
Received:
April 16 2018
Accepted:
July 20 2018
Citation
Huada Lian, Jian Qin, Karl F. Freed; Dielectric virial expansion of polarizable dipolar spheres. J. Chem. Phys. 28 October 2018; 149 (16): 163332. https://doi.org/10.1063/1.5035551
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Sign in via your Institution
Sign in via your InstitutionPay-Per-View Access
$40.00