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Dielectric constant of polarizable, nonpolar fluids and suspensions

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Abstract

We study the dielectric constant of a polarizable, nonpolar fluid or suspension of spherical particles by use of a renormalized cluster expansion. The particles may have induced multipole moments of any order. We show that the Clausius-Mossotti formula results from a virtual overlap contribution. The corrections to the Clausius-Mossotti formula are expressed with the aid of a cluster expansion. The integrands of the cluster integrals are expressed in terms of two-body nodal connectors which incorporate all reflections between a pair of particles. We study the two- and three-body cluster integrals in some detail and show how these are related to the dielectric virial expansion and to the first term of the Kirkwood-Yvon expansion.

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Author notes

  1. B. Cichocki

    Present address: Institute of Theoretical Physics, Warsaw University, PL-00-681, Warsaw, Poland

Authors and Affiliations

  1. Institut für Theoretische Physik A, RWTH Aachen, 5100, Aachen, Federal Republic of Germany

    B. Cichocki & B. U. Felderhof

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  1. B. Cichocki
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  2. B. U. Felderhof
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Cichocki, B., Felderhof, B.U. Dielectric constant of polarizable, nonpolar fluids and suspensions. J Stat Phys 53, 499–521 (1988). https://doi.org/10.1007/BF01011569

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