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 expa...

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Bibliographic Details
Published in:The Journal of chemical physics 2015-08, Vol.143 (7), p.071103-071103
Main Authors: Barlow, Nathaniel S, Schultz, Andrew J, Weinstein, Steven J, Kofke, David A
Format: Article
Language:English
Subjects:
Approximants
Critical point
DENSITY
EQUATIONS OF STATE
EXPANSION
INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY
Physics
SCALING LAWS
SOUND WAVES
SPACE
THERMODYNAMICS
YIELDS
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Summary: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.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.4929392