Analysis of a threecomponent model phase diagram by catastrophe theory
Abstract
We analyze the thermodynamical potential of a latticegas model with three components and five parameters using the methods of the catastrophe theory. We find the highest singularity, which has codimension five, and establish its transversality. Hence the corresponding sevendegree Landau potential, the canonical form wigwam or A_{6}, constitutes the adequate starting point to study the overall phase diagram of this model. We also consider a singularity of lower codimension, which we relate to the phenomenon of critical azeotropy.
 Publication:

Physical Review B
 Pub Date:
 June 1998
 DOI:
 10.1103/PhysRevB.57.13527
 arXiv:
 arXiv:condmat/9707015
 Bibcode:
 1998PhRvB..5713527G
 Keywords:

 64.60.Kw;
 02.40.k;
 05.70.a;
 Multicritical points;
 Geometry differential geometry and topology;
 Thermodynamics;
 Condensed Matter  Statistical Mechanics;
 Mathematical Physics
 EPrint:
 16 pages, Latex file, submitted to Phys. Rev. B