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Title: Communication: Analytic continuation of the virial series through the critical point using parametric approximants

The mathematical structure imposed by the thermodynamic critical point motivates an approximant that synthesizes two theoretically sound equations of state: the parametric and the virial. The former is constructed to describe the critical region, incorporating all scaling laws; the latter is an expansion about zero density, developed from molecular considerations. The approximant is shown to yield an equation of state capable of accurately describing properties over a large portion of the thermodynamic parameter space, far greater than that covered by each treatment alone.
Authors:
 [1] ; ;  [2] ;  [3]
  1. School of Mathematical Sciences, Rochester Institute of Technology, Rochester, New York 14623 (United States)
  2. Department of Chemical and Biological Engineering, University at Buffalo, State University of New York, Buffalo, New York 14260 (United States)
  3. Department of Chemical Engineering, Rochester Institute of Technology, Rochester, New York 14623 (United States)
Publication Date:
OSTI Identifier:
22493526
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 143; Journal Issue: 7; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; DENSITY; EQUATIONS OF STATE; EXPANSION; SCALING LAWS; SOUND WAVES; SPACE; THERMODYNAMICS; YIELDS