| Numéro |
J. Phys. IV France
Volume 10, Numéro PR5, March 2000
The 1999 International Conference on Strongly Coupled Coulomb Systems
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|---|---|---|
| Page(s) | Pr5-437 - Pr5-440 | |
| DOI | https://doi.org/10.1051/jp4:2000584 | |
The 1999 International Conference on Strongly Coupled Coulomb Systems
J. Phys. IV France 10 (2000) Pr5-437-Pr5-440
DOI: 10.1051/jp4:2000584
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
© EDP Sciences 2000
J. Phys. IV France 10 (2000) Pr5-437-Pr5-440
DOI: 10.1051/jp4:2000584
Dielectric constant and sample's shape in dipolar fluids
A. Alastuey1 and V. Ballenegger21 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
Abstract
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