On the unicity of discontinuous transitions in the two-dimensional Potts and Ashkin-Teller models

被引：7
|
作者：
Baker, T [1 ]
Chayes, L [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA
来源：
JOURNAL OF STATISTICAL PHYSICS | 1998年 / 93卷 / 1-2期
关键词：
Ashkin-Teller model; Potts model; graphical representations; percolation; duality;
D O I：
10.1023/B:JOSS.0000026725.69382.86
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the uniqueness of the discontinuous phase transition of the g-state Potts model and the symmetric q=(sxs) cubic model (generaIized Ashkin-Teller model) on the integer square lattice with q greater than or equal to 1. For the ferro-magnetic cases, when there is a discontinuous phase transition we show that the discontinuity can only occur at a point of self-duality.
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页码：1 / 15
页数：15
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