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.
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School of Mathematical Sciences (COS)
Barlow, Nathaniel S.; Schultz, Andrew J.; Weinstein, Steven J.; and Kofke, David A., "Communication: Analytic continuation of the virial series through the critical point using parametric approximants" (2015). Journal of Chemical Physics, 143 (), 071103 (1-5). Accessed from
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