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An Analysis of the Critical Region of Multiparameter Equations of State

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Abstract

In this work, two classes of defects with multiparameter equations of state are investigated. In the first, it is shown that the critical point provided by equation of state developers often does not exactly meet the criticality conditions based on the first two density derivatives of the pressure being zero at the critical point. Based on the more accurate locations of the critical points given in the first part, the scaling of the densities along the binodal and spinodal in the critical region are investigated, and we find that the vast majority of equations have reasonable behavior but a few do not.

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Data Availability

In order to ensure reproducibility of our results, the supplementary information includes: A table of all the numerical critical points obtained; The orthobaric and spinodal scaling curves for all EOS in REFPROP 10.0. The corresponding author can be contacted for a copy of the scripts used to generate the figures

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Acknowledgments

We thank Ulrich Deiters for a discussion of the theory behind the critical scaling constraint.

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  1. Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Boulder, CO, 80305, USA

    Ian H. Bell, Eric W. Lemmon & Allan H. Harvey

Authors
  1. Ian H. Bell
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  2. Eric W. Lemmon
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  3. Allan H. Harvey
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IB prepared the main manuscript text and figures and EL and AH provided editorial guidance. All authors reviewed the manuscript.

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Correspondence to Ian H. Bell.

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Bell, I.H., Lemmon, E.W. & Harvey, A.H. An Analysis of the Critical Region of Multiparameter Equations of State. Int J Thermophys 44, 158 (2023). https://doi.org/10.1007/s10765-023-03261-8

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