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- W3191636519 abstract "Differential geometry is powerful tool to analyze the vapor-liquid critical point on the surface of the thermodynamic equation of state. The existence of usual condition of the critical point $left( partial p/partial Vright) _{T}=0$ requires the isothermal process, but the universality of the critical point is its independence of whatever process is taken, and so we can assume $left( partial p/partial Tright) _{V}=0$. The distinction between the critical point and other points on the surface leads us to further assume that the critical point is geometrically represented by zero Gaussian curvature. A slight extension of the van der Waals equation of state is to letting two parameters $a$ and $b$ in it vary with temperature, which then satisfies both assumptions and reproduces its usual form when the temperature is approximately the critical one." @default.
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- W3191636519 date "2021-07-02" @default.
- W3191636519 modified "2023-10-16" @default.
- W3191636519 title "Local Shape of the Vapor–Liquid Critical Point on the Thermodynamic Surface and the van der Waals Equation of State" @default.
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- W3191636519 doi "https://doi.org/10.3389/fphy.2021.679083" @default.
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