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Statistical mechanics of dipolar fluids: dielectric constant and sample shape

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  • Alastuey, A.
  • Ballenegger, V.

Abstract

We give a new proof that the constitutive relation of macroscopic electrostatics holds in a dipolar fluid with a sample shape independent dielectric constant. Our approach is based on a BGY-like hierarchy equation which allows us to calculate the canonical one-body density function up to linear order in the electric field, in the thermodynamic limit. The dielectric constant comes out as an integral over a 3-point correlation function of the infinite unperturbed (unpolarized) system, from which one can recover the well-known formula for ε in terms of the 2-point direct correlation function.

Suggested Citation

  • Alastuey, A. & Ballenegger, V., 2000. "Statistical mechanics of dipolar fluids: dielectric constant and sample shape," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 279(1), pages 268-286.
    • Handle: RePEc:eee:phsmap:v:279:y:2000:i:1:p:268-286
    DOI: 10.1016/S0378-4371(99)00528-2
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