Analysis of a three-component model phase diagram by Catastrophe Theory
统计力学
2009-10-30 v1 数学物理
math.MP
摘要
We analyze the thermodynamical potential of a lattice gas model with three components and five parameters using the methods of Catastrophe Theory. We find the highest singularity, which has codimension five, and establish its transversality. Hence the corresponding seven-degree Landau potential, the canonical form Wigwam or , constitutes the adequate starting point to study the overall phase diagram of this model.
引用
@article{arxiv.cond-mat/9707015,
title = {Analysis of a three-component model phase diagram by Catastrophe Theory},
author = {J. Gaite and J. Margalef-Roig and S. Miret-Artés},
journal= {arXiv preprint arXiv:cond-mat/9707015},
year = {2009}
}
备注
16 pages, Latex file, submitted to Phys. Rev. B