Geodesic
Periodic Gibbs measures for the~three-state SOS model on a~Cayley tree with a~translation-invariant external field
Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 3, pp. 448-456

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a three-state solid-on-solid (SOS) model on a Cayley tree in the presence of an external field. We show that periodic Gibbs measures are either translation invariant or periodic with period two. We describe two-periodic Gibbs measures of the model.
Keywords: Cayley tree, Gibbs measure, SOS model, external field, periodic Gibbs measure. 
@article{TMF_2022_212_3_a8,
     author = {O. Sh. Karshiboev},
     title = {Periodic {Gibbs} measures for the~three-state {SOS} model on {a~Cayley} tree with a~translation-invariant external field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {448--456},
     publisher = {mathdoc},
     volume = {212},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_212_3_a8/}
}
TY  - JOUR
AU  - O. Sh. Karshiboev
TI  - Periodic Gibbs measures for the~three-state SOS model on a~Cayley tree with a~translation-invariant external field
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2022
SP  - 448
EP  - 456
VL  - 212
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2022_212_3_a8/
LA  - ru
ID  - TMF_2022_212_3_a8
ER  - 
%0 Journal Article
%A O. Sh. Karshiboev
%T Periodic Gibbs measures for the~three-state SOS model on a~Cayley tree with a~translation-invariant external field
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2022
%P 448-456
%V 212
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2022_212_3_a8/
%G ru
%F TMF_2022_212_3_a8
O. Sh. Karshiboev. Periodic Gibbs measures for the~three-state SOS model on a~Cayley tree with a~translation-invariant external field. Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 3, pp. 448-456. http://geodesic.mathdoc.fr/item/TMF_2022_212_3_a8/