J. Phys. IV France 10 (2000) Pr5-437-Pr5-440
Dielectric constant and sample's shape in dipolar fluidsA. Alastuey1 and V. Ballenegger2
1 Laboratoire de Physique, URA 1325 du CNRS, École Normale Supérieure de Lyon, 46 allée d'Italie, 69364 Lyon cedex 07, France
2 Institut de Physique Théorique, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
We give a new proof that the constitutive relation of macroscopic electrostatics holds in a dipolar fluid with a sample's shape independent dielectric constant. Our approach is based on BGY-like hierarchy equations which allow 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 (unpolarized) system, from which one can recover the well known formula for ε in terms of the direct correlation function.
© EDP Sciences 2000