This article is cited in 2 papers

Perestroikas of Convexified Apparent Contours and Global Phase Diagrams in Thermodynamics

F. Aicardi

International School for Advanced Studies (SISSA)

Abstract: 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.

Keywords: apparent contour, convex hull, singularity, thermodynamic phase diagram, binary mixture, global phase diagram.

UDC: 513.7+517.5+536.7

Received: 21.12.2001

DOI: 10.4213/faa154

 English version: Functional Analysis and Its Applications, 2003, 37:3, 161–176

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