title: Communication: Analytic continuation of the virial series through the critical point using parametric approximants.
abstract: 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: School of Mathematical Sciences, Rochester Institute of Technology, Rochester, New York 14623, USA.
authors: Nathaniel S
authors: NS
authors: Barlow
authors: Department of Chemical and Biological Engineering, University at Buffalo, State University of New York, Buffalo, New York 14260, USA.
authors: Andrew J
authors: AJ
authors: Schultz
authors: Department of Chemical Engineering, Rochester Institute of Technology, Rochester, New York 14623, USA.
authors: Steven J
authors: SJ
authors: Weinstein
authors: Department of Chemical and Biological Engineering, University at Buffalo, State University of New York, Buffalo, New York 14260, USA.
authors: David A
authors: DA
authors: Kofke