Fluids with highly directional attractive forces. II. Thermodynamic perturbation theory and integral equations
type: Item
instance of: scholarly article
title: Fluids with highly directional attractive forces. II. Thermodynamic perturbation theory and integral equations
zbMATH Open document ID: 0598.76005
DOI: 10.1007/BF01017363
author: M. S. Wertheim
published in: Journal of Statistical Physics
publication date: 1984-01-01T00:00:00Z
review text: [For part I see the summary above (Zbl 0598.76004).] The formalism of statistical thermodynamics developed in the preceding paper is used as a basis for deriving tractable approximations. The system treated is one where repulsion and highly directional attraction due to a single molecular site combine to allow the formation of dimers, but no higher s-mers. We derive thermodynamic perturbation theory, using the system interacting with only the repulsive potential as a reference system. Two distinct integral equations for the pair correlation are derived. The first one treats both parts of the interaction approximately; the other one employs the repulsive reference system, used in perturbation theory. We show that each of these integral equations permits the calculation of an important thermodynamic function directly from the solution at a single state of density and temperature. In the first case this applies to a pressure consistent with the compressibility relation, in the second to the excess Helmholtz free energy over the reference system.
Mathematics Subject Classification ID: 76A02
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 82D60
zbMATH DE Number: 3965638
zbMATH Keywords: repulsion
zbMATH Keywords: highly directional attraction
zbMATH Keywords: formation of dimers
zbMATH Keywords: thermodynamic perturbation theory
zbMATH Keywords: repulsive potential
zbMATH Keywords: integral equations
zbMATH Keywords: pair correlation
zbMATH Keywords: repulsive reference system
zbMATH Keywords: compressibility relation
zbMATH Keywords: Helmholtz free energy
MaRDI profile type: Publication
cites work: Fluids with highly directional attractive forces. I. Statistical thermodynamics
cites work: A New Approach to the Theory of Classical Fluids. I
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description: scientific article; zbMATH DE number 3965638