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

Journal Article · Fri Aug 21 00:00:00 EDT 2015 · Journal of Chemical Physics

DOI:https://doi.org/10.1063/1.4929392· OSTI ID:22493526

Barlow, Nathaniel S., E-mail: [e-mail] ^[1]; Schultz, Andrew J., E-mail: [e-mail]; Kofke, David A., E-mail: [e-mail] ^[2]; Weinstein, Steven J., E-mail: [e-mail] ^[3]

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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)

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.

• OSTI ID: 22493526
• Journal Information: Journal of Chemical Physics, Vol. 143, Issue 7; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9606
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC
ORGANIC
PHYSICAL AND ANALYTICAL CHEMISTRY
DENSITY
EQUATIONS OF STATE
EXPANSION
SCALING LAWS
SOUND WAVES
SPACE
THERMODYNAMICS
YIELDS