Geodesic
Perestroikas of Convexified Apparent Contours and Global Phase Diagrams in Thermodynamics
Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 3, pp. 1-19

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We obtain the classification of singularities occurring in families of convex hulls of apparent contours up to codimension $3$. The results for codimension $2$ singularities allow us to supplement Varchenko's classification of local singularities of thermodynamic phase diagrams of binary mixtures. Singularities of three-parameter families specify so-called global phase diagrams in three-dimensional parameter spaces and define all local perestroikas of phase diagrams in generic one-parameter families of binary mixtures.
Mots-clés : apparent contour
Keywords: convex hull, singularity, thermodynamic phase diagram, binary mixture, global phase diagram. 
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     author = {F. Aicardi},
     title = {Perestroikas of {Convexified} {Apparent} {Contours} and {Global} {Phase} {Diagrams} in {Thermodynamics}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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F. Aicardi. Perestroikas of Convexified Apparent Contours and Global Phase Diagrams in Thermodynamics. Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 3, pp. 1-19. http://geodesic.mathdoc.fr/item/FAA_2003_37_3_a0/