Geodesic
Rearrangements of convex hulls and phase transitions in thermodynamics
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 33 (1988), pp. 157-191.

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The paper presents a classification of typical singularities of the equilibrium surface and the phase diagram of a twocomponent themodynamic mixture. The mathematical formulation of the problem describes the evolutions of the convex hulls of plane curves dependent on two parameters. There is a total of eight topologicalfy different evolutions. 
@article{INTD_1988_33_a4,
     author = {A. N. Varchenko},
     title = {Rearrangements of convex hulls and phase transitions in thermodynamics},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {157--191},
     publisher = {mathdoc},
     volume = {33},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTD_1988_33_a4/}
}
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A. N. Varchenko. Rearrangements of convex hulls and phase transitions in thermodynamics. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 33 (1988), pp. 157-191. http://geodesic.mathdoc.fr/item/INTD_1988_33_a4/