PERIODIC GROUND STATES FOR THE MIXED SPIN ISING MODEL WITH COMPETING INTERACTIONS ON A CAYLEY TREE

被引：1

作者：

Mukhamedov, Farrukh ^{[1
,2
]}

Rahmatullaev, Muzaffar M. ^{[2
,3
]}

Egamov, Dilshodbek O. ^{[2
]}

机构：

[1] United Arab Emirates Univ, Coll Sci, Dept Math Sci, POB 15551, Abu Dhabi, U Arab Emirates

[2] VI Romanovskiy Inst Math, 4-B Univ Str, Tashkent 100174, Uzbekistan

[3] Namangan State Univ, 316 Uychi Str, Namangan, Uzbekistan

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2023年 / 91卷 / 03期

关键词：

mixed Ising model; competing interactions; Cayley tree; ground state; GIBBS MEASURES; MAGNETIC-PROPERTIES; LATTICE; PHASE;

D O I：

10.1016/s0034-4877(23)00041-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the present paper, translation-invariant and periodic ground states are described for a mixed spin Ising model with competing interactions on the Cayley tree of order two. The limiting behaviour of various Gibbs measures of our mixed spin Ising model is discussed as well.

引用

页码：379 / 393

页数：15

共 50 条

[1] Description of Weak Periodic Ground States of Ising Model with Competing Interactions on Cayley Tree
Rahmatullaev, M. M.
[J]. APPLIED MATHEMATICS & INFORMATION SCIENCES, 2010, 4 (02): : 237 - 251
[2] Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree
Rozikov, U. A.
Rakhmatullaev, M. M.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2009, 160 (03) : 1292 - 1300
[3] Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree
U. A. Rozikov
M. M. Rakhmatullaev
[J]. Theoretical and Mathematical Physics, 2009, 160 : 1292 - 1300
[4] Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree
Rakhmatullaev M.M.
Rasulova M.A.
[J]. Siberian Advances in Mathematics, 2016, 26 (3) : 215 - 229
[5] Ground States and Gibbs Measures of Ising Model with Competing Interactions and an External Field on a Cayley Tree
Rahmatullaev, Muzaffar M.
Rasulova, Muhayyo A.
Asqarov, Javohir N.
[J]. JOURNAL OF STATISTICAL PHYSICS, 2023, 190 (07)
[6] Ground States and Gibbs Measures of Ising Model with Competing Interactions and an External Field on a Cayley Tree
Muzaffar M. Rahmatullaev
Muhayyo A. Rasulova
Javohir N. Asqarov
[J]. Journal of Statistical Physics, 190
[7] WEAKLY PERIODIC GIBBS MEASURES AND GROUND STATES FOR THE POTTS MODEL WITH COMPETING INTERACTIONS ON THE CAYLEY TREE
Rakhmatullaev, M. M.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2013, 176 (03) : 1236 - 1251
[8] Weakly periodic Gibbs measures and ground states for the Potts model with competing interactions on the Cayley tree
M. M. Rakhmatullaev
[J]. Theoretical and Mathematical Physics, 2013, 176 : 1236 - 1251
[9] Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree
Botirov, G., I
Qayumov, U. U.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2021, 209 (02) : 1633 - 1642
[10] Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree
G. I. Botirov
U. U. Qayumov
[J]. Theoretical and Mathematical Physics, 2021, 209 : 1633 - 1642

← 1 2 3 4 5 →