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Multipolar corrections to the Clausius-Mossotti formula for the effective dielectric constant of a polydisperse suspension of spheres
Authors:B. U. Felderhof  R. B. Jones
Affiliation:(1) Institut Laue-Langevin, 156 X, F-38042 Grenoble Cedex, France;(2) Present address: Institut für Theoretische Physik A, RWTH Aachen, Templergraben 55, D-5100 Aachen, FRG;(3) Present address: Department of Physics, Queen Mary College, Mile End Road, E14NS London, UK
Abstract:We study multipolar corrections to the Clausius-Mossotti formula for the effective dielectric constant of a polydisperse suspension of spheres with identical uniform dielectric constant embedded in a uniform background. The first few moments of the spectral density occurring in the Bergman representation are evaluated exactly to second order in the volume fraction. We present numerical results for a log-normal distribution of sphere radii.
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