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.
Publication Date
2015
Document Type
Article
Department, Program, or Center
School of Mathematical Sciences (COS)
Recommended Citation
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
https://repository.rit.edu/article/1786
Campus
RIT – Main Campus
Comments
Originally published in the Journal of Chemical Physics: http://dx.doi.org/10.1063/1.4929392