Statistical mechanics of dipolar fluids: dielectric constant and sample shape

A. Alastuey and V. Ballenegger

Physica A: Statistical Mechanics and its Applications, 2000, vol. 279, issue 1, 268-286

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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:279:y:2000:i:1:p:268-286

DOI: 10.1016/S0378-4371(99)00528-2

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