Dielectric constant of polarizable, nonpolar fluids and suspensions

Cichocki, B; Felderhof, B U

doi:10.1007/BF01011569

Title: 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.

Authors:: Cichocki, B; Felderhof, B U

Publication Date:: Sat Oct 01 00:00:00 EDT 1988

Research Org.:: Institut fuer Theoretische Physik (West Germany)

OSTI Identifier:: 6280387

Resource Type:: Journal Article

Journal Name:: J. Stat. Phys.; (United States)

Additional Journal Information:: Journal Volume: 53:1-2

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIELECTRIC MATERIALS; STATISTICAL MECHANICS; LIQUIDS; DIELECTRIC PROPERTIES; SUSPENSIONS; DIPOLES; GREEN FUNCTION; INTEGRALS; PARTICLE MODELS; POLARIZATION; RENORMALIZATION; SCATTERING; SERIES EXPANSION; THERMODYNAMICS; THREE-BODY PROBLEM; TWO-BODY PROBLEM; VIRIAL THEOREM; DISPERSIONS; ELECTRICAL PROPERTIES; FLUIDS; FUNCTIONS; MANY-BODY PROBLEM; MATERIALS; MATHEMATICAL MODELS; MECHANICS; MULTIPOLES; PHYSICAL PROPERTIES; 656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-); 657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics

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                    Cichocki, B, and Felderhof, B U. Dielectric constant of polarizable, nonpolar fluids and suspensions.  United States: N. p., 1988. 
        Web.  doi:10.1007/BF01011569.

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                    Cichocki, B, & Felderhof, B U. Dielectric constant of polarizable, nonpolar fluids and suspensions.  United States.  https://doi.org/10.1007/BF01011569

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                    Cichocki, B, and Felderhof, B U. 1988.  
        "Dielectric constant of polarizable, nonpolar fluids and suspensions".  United States.  https://doi.org/10.1007/BF01011569.

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@article{osti_6280387,

  title        = {Dielectric constant of polarizable, nonpolar fluids and suspensions},

  author       = {Cichocki, B and Felderhof, B U},

  abstractNote = {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.},

  doi          = {10.1007/BF01011569},

  url          = {https://www.osti.gov/biblio/6280387},
  journal      = {J. Stat. Phys.; (United States)},
number       = ,

  volume       = 53:1-2,

  place        = {United States},

  year         = {Sat Oct 01 00:00:00 EDT 1988},

  month        = {Sat Oct 01 00:00:00 EDT 1988}

}

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