FREE ENERGIES OF THE POTTS MODEL ON A CAYLEY TREE

被引：10
|
作者：
Rozikov, U. A. [1 ]
Rakhmatullaev, M. M. [1 ]
机构：
[1] Mirzo Ulugbek Natl Univ Uzbekistan, Inst Math, Tashkent, Uzbekistan
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2017年 / 190卷 / 01期
关键词：
Cayley tree; Potts model; boundary condition; Gibbs measure; free energy; entropy; PERIODIC GIBBS MEASURES;
D O I：
10.1134/S0040577917010081
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
For the Potts model on the Cayley tree, we obtain some explicit formulas for the free energies and entropies in the case of vector-valued boundary conditions. These formulas include translation-invariant, periodic, and Dobrushin-like boundary conditions and also those corresponding to weakly periodic Gibbs measures.
引用
收藏
页码：98 / 108
页数：11
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