Published In
Journal of Chemical Physics
Document Type
Article
Publication Date
1-1-1977
Subjects
Dielectrics, Correlation (Statistics), Fluid dynamics
Abstract
In a previous article [J. Chem. Phys. 57, 2684 (1972)] sufficient conditions were established for the existence of the dielectric constant ɛ in rigid-dipole fluids. One of these conditions was an unrealistic restriction on the angular dependence of the direct correlation function c (12) at short range. Here it is shown that this restriction can be removed without altering the previous conclusions. Consequently, ɛ rigorously exists if c (12) depends only upon relative positions and orientations of molecules 1 and 2, and becomes asymptotic to -φd(12)/kT at long range, where φd(12) is the dipole-dipole potential. The development is based upon the functional-derivative interpretation of c (12) in terms of the response of the single-molecule distribution function to a single-molecule external field. The consequences of formally separating c (12) and the total correlation function h (12) into short- and long-range parts are briefly explored. A relation between the angular moments of the short-range parts of c (12) and h (12) is derived in an appendix.
DOI
10.1063/1.434334
Persistent Identifier
http://archives.pdx.edu/ds/psu/7911
Citation Details
J.D. Ramshaw, "Existence of the dielectric constant in rigid‐dipole fluids: The functional‐derivative approach," J. Chem. Phys. 66, 3134 (1977)
Description
Article appears in the Journal of Chemical Physics (http://jcp.aip.org/) and is copyrighted (1977) by the American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.