On the Constructive Description of Gibbs Measures for the Potts Model on a Cayley Tree

被引：0

作者：

M. M. Rahmatullaev

F. K. Rafikov

Sh. Kh. Azamov

机构：

[1] Uzbekistan Academy of Sciences,V. Romanovskii Institute of Mathematics

[2] Kokand State Pedagogic University,undefined

来源：

Ukrainian Mathematical Journal | 2021年 / 73卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the Potts model on a Cayley tree and prove the existence of Gibbs measures constructed by the method proposed in [H. Akin, U. A. Rozikov, and S. Temir, J. Stat. Phys., 142, 314 (2011)]. In addition, we prove that there exist (k0)-translation invariant Gibbs measures for the Potts model on a Cayley tree and compute the free energy of these Gibbs measures.

引用

页码：1092 / 1106

页数：14

共 50 条

[21] On periodic Gibbs measures of p-adic Potts model on a Cayley tree
Mukhamedov F.
Khakimov O.
P-Adic Numbers, Ultrametric Analysis, and Applications, 2016, 8 (3) : 225 - 235
[22] GIBBS MEASURES FOR A GENERALIZED POTTS MODEL WITH THE INTERACTION RADIUS TWO ON A CAYLEY TREE
Hatamov, N. M.
Madgoziev, G. T.
THEORETICAL AND MATHEMATICAL PHYSICS, 2015, 183 (03) : 836 - 845
[23] Translation-invariant and periodic Gibbs measures for the Potts model on a Cayley tree
R. M. Khakimov
F. Kh. Khaydarov
Theoretical and Mathematical Physics, 2016, 189 : 1651 - 1659
[24] On Weakly Periodic Gibbs Measures for the Potts Model with External Field on the Cayley Tree
Rakhmatullaev, M. M.
UKRAINIAN MATHEMATICAL JOURNAL, 2016, 68 (04) : 598 - 611
[25] Gibbs measures for a generalized Potts model with the interaction radius two on a Cayley tree
N. M. Hatamov
G. T. Madgoziev
Theoretical and Mathematical Physics, 2015, 183 : 836 - 845
[26] On Weakly Periodic Gibbs Measures for the Potts Model with External Field on the Cayley Tree
M. M. Rakhmatullaev
Ukrainian Mathematical Journal, 2016, 68 : 598 - 611
[27] Extremality of the Translation-Invariant Gibbs Measures for the Potts Model on the Cayley Tree
U. A. Rozikov
R. M. Khakimov
F. Kh. Khaidarov
Theoretical and Mathematical Physics, 2018, 196 : 1043 - 1058
[28] Extremality of the Translation-Invariant Gibbs Measures for the Potts Model on the Cayley Tree
Rozikov, U. A.
Khakimov, R. M.
Khaidarov, F. Kh.
THEORETICAL AND MATHEMATICAL PHYSICS, 2018, 196 (01) : 1043 - 1058
[29] Description of All Translation-Invariant p-Adic Gibbs Measures for the Potts Model on a Cayley Tree
Rozikov, U. A.
Khakimov, O. N.
MARKOV PROCESSES AND RELATED FIELDS, 2015, 21 (01) : 177 - 204
[30] A Constructive Description of Ground States and Gibbs Measures for Ising Model with Two-Step Interactions on Cayley Tree
U. A. Rozikov
Journal of Statistical Physics, 2006, 122 : 217 - 235

← 1 2 3 4 5 →