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Entropy 2020, 22, 437 24 of 26 Acknowledgments: We wish to thank John F. Maguire of Scientific Simulation Systems Inc. for bringing the misinterpretations of “Cv” to our attention, and Richard Sadus, Swinburne University, Australia for providing the original “Css” dataset (plotted in Figure 13) made publicly available in [59]. Conflicts of Interest: The authors declare no conflicts of interest. References 1. Gibbs, J.W. A method of geometrical representation of the thermodynamic properties of substances by means of surfaces. Trans. Conn. Acad. Arts Sci. 1873, 2, 382. 2. Andrews, T. On the continuity of gas and liquid states of matter. Proc. R. Soc. Lond. 1869, 159, 575–590. 3. Van der Waals, J.D. Over de Continuiteit van den Gas-en Vloeistoftoestand. Ph.D. Thesis, University of Leiden, Leiden, The Netherlands, 1873. 4. NIST Thermo-physical Properties of Fluid Systems. Available online: http://webbook.nist.gov/chemistry/ fluid/ (accessed on 4 March 2020). 5. Reif-Acherman, S. History of the Law of Rectilinear Diameters. Quim. Nova 2010, 33, 2003–2013. [CrossRef] 6. Woodcock, L.V. Thermodynamic description of liquid-state limits. J. Phys. Chem. B 2012, 116, 3734–3744. [CrossRef] 7. Woodcock, L.V. Observations of a thermodynamic liquid–gas critical coexistence line and supercritical phase bounds from percolation loci. Fluid Phase Equilibria 2013, 351, 25–33. [CrossRef] 8. Woodcock, L.V. Gibbs density surface of fluid argon: Revised critical parameters. Int. J. Thermophys. 2014, 35, 1770–1784. [CrossRef] 9. Onsager, L. Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition. Phys. Rev. 1944, 65, 117. [CrossRef] 10. Uhlenbeck, G.E. The classical theories of critical phenomena. In Critical Phenomena: Proceedings of a Conference in Washington DC; Green, M.S., Sengers, J.V., Eds.; National Bureau of Standards: Washington, DC, USA, 1966. 11. Rowlinson, J.S. Critical states of fluids and fluid mixtures: A review of the experimental position. In Critical Phenomena: Proceedings of a Conference in Washington DC; Green, M.S., Sengers, J.V., Eds.; National Bureau of Standards: Washington, DC, USA, 1966. 12. Fisher, M.E. Notes, definitions and formula for critical-point singularities. In Critical Phenomena: Proceedings of a Conference in Washington DC; Green, M.S., Sengers, J.V., Eds.; National Bureau of Standards: Washington, DC, USA, 1966; pp. 21–25. 13. Sengers, J.V. Behaviour of the viscosity and thermal conductivity of fluids near the critical point. In Critical Phenomena: Proceedings of a Conference in Washington DC; Green, M.S., Sengers, J.V., Eds.; National Bureau of Standards: Washington, DC, USA, 1966. 14. Kadanoff, L.P.; Gotze, W.; Hamblen, D.; Hecht, R.; Lewis, E.A.S.; Palciauskas, V.V.; Rayl, M.; Swift, J.; Aspnes, D.; Kane, J.W. Static phenomena near critical points: Theory and experiment. Rev. Mod. Phys. 1967, 39, 395. [CrossRef] 15. Kac, M.; Uhlenbeck, G.E.; Hammer, J. On the van der Waals theory of the vapor-liquid equilibrium I. J. Math. Phys. 1963, 4, 216. [CrossRef] 16. Kac, M.; Uhlenbeck, G.E.; Hammer, J. On the van der Waals Theory of the vapor-liquid equilibrium II. J. Math. Phys. 1963, 4, 2239. 17. Kac, M.; Uhlenbeck, G.E.; Hammer, J. On the van der Waals theory of the vapor-liquid equilibrium III Discussion of the Critical Region. J. Math. Phys. 1963, 5, 60–74. 18. Wilson, K.G. Renormalization Group and Critical Phenomena. Phys. Rev. 1971, B4, 3174–3183. [CrossRef] 19. Woodcock, L.V. On the Empirical Determination of a Gas–Liquid Supercritical Mesophase and its Phenomenological Definition. Int. J. Thermophysics. 2020, 41, 70. [CrossRef] 20. Vega, L.; de Miguel, E.; Rull, L.F.; Jackson, G.; McLure, I.A. Phase equilibria and critical behavior of square-well fluids of variable width by Gibbs ensemble Monte Carlo computation. J. Chem. Phys. 1992, 96, 2296–2305. [CrossRef] 21. Elliott, J.R.; Hu, L. Vapor-liquid equilibria of square-well fluids. J. Chem. Phys. 1999, 110, 3043–3048. [CrossRef] 22. Benavides, A.; Alejendre, J.; del Rio, F. Properties of square-well fluids of variable width IV molecular dynamics test of the van der Waals and long-range approximation. Mol. Phys. 1991, 74, 321–331. [CrossRef]PDF Image | Supercritical Fluid Gaseous and Liquid States
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