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Radial distribution functions and their role in modeling of mixtures behavior

Authors
Journal
Fluid Phase Equilibria
0378-3812
Publisher
Elsevier
Publication Date
Volume
87
Issue
1
Identifiers
DOI: 10.1016/0378-3812(93)85015-e
Keywords
  • Mixing Rule
  • Radial Distribution Function
  • Equation Of State
  • A Generalized Cubic Equation Of State
  • Statistical Thermodynamics
  • Conformal Solution Theory
Disciplines
  • Physics

Abstract

Abstract Radial distribution (Pair correlation) functions are the primary linkage between macroscopic thermodynamics properties and intermolecular interactions of fluids and fluid mixtures. Numerous theories of mixtures exist based on the definition of the radial distribution functions. Utilization of such theories require the knowledge about mixture radial distribution functions and their relations. Generally the exact radial distribution functions of real fluid mixtures are not available. In this paper a number of approximations for the mixture radial distribution functions are presented. Application of these approximation can result in analytic mixture theories and mixing rules. A uniform statistical mechanical technique is presented through which one can derive equation of state mixing rules based on different RDF approximations. The relative merits of different sets of mixing rules derived by this technique and their applications for modeling of the behavior of mixtures are discussed.

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