TY - JOUR
AU - M. Rahmatullaev
AU - F. К. Rafikov
AU - Sh. Kh. Azamov
PY - 2021/07/20
Y2 - 2022/08/13
TI - On constructive description of Gibbs measures for the Potts model on a Cayley tree
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 73
IS - 7
SE - Research articles
DO - 10.37863/umzh.v73i7.6408
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/6408
AB - UDC 517.9We consider the Potts model on a Cayley tree and prove the existence of Gibbs measures built by using the method suggested in [H. Akin, U. A. Rozikov, S. Temir, A new set of limiting Gibbs measures for the Ising model on a Cayley tree, J. Stat. Phys., 142, № 2, 314 – 321 (2011)]. In addition, we prove that there exist $(k_0)$-translation invariant Gibbs measures for the Potts model on a Cayley tree and calculate the free energy of these Gibbs measures.
ER -