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Zbl 0943.82582
Meijer, Paul H.E.; Levelt, A.H.M.; Miller, B.R.
Analysis of the critical line network for the van der Waals equation at the van Laar point. (English)
[J] J. Stat. Phys. 71, No.1-2, 299-312 (1993). ISSN 0022-4715; ISSN 1572-9613/e

Summary: The density-density plot of the critical lines of the van der Waals equation at the van Laar point is analyzed through its algebraic properties. It is shown that this curve is an irreducible expression of the fifth degree of genus one. In addition, we show the topology of the second branch, i.e., the $T = 0$ solution, which will interact with the first branch as soon as the energy parameters are slightly different from the van Laar values. Finally, we analyze the behavior of the van der Waals equation near the point at which liquid-liquid separation takes place.

MSC 2000:: *82D15 Liquids

Keywords: critical lines; van der Waals equation; binary mixture; binodals; spinodals; double points; van Laar point; tricritical point; Gibbs function; liquid-liquid mixing

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Zentralblatt MATH Berlin [Germany]