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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 212, Number 3, Pages 448–456
DOI: https://doi.org/10.4213/tmf10280 (Mi tmf10280) 		 
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field

O. Sh. Karshiboev

Chirchik State Pedagogical Institute of Tashkent Region, Chirchik, Uzbekistan
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DOI: https://doi.org/10.4213/tmf10280
Abstract: 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.
Received: 27.02.2022
Revised: 27.02.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 212, Issue 3, Pages 1276–1283
DOI: https://doi.org/10.1134/S0040577922090094
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. Sh. Karshiboev, “Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field”, TMF, 212:3 (2022), 448–456; Theoret. and Math. Phys., 212:3 (2022), 1276–1283
Citation in format AMSBIB
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\by O.~Sh.~Karshiboev
\paper Periodic Gibbs measures for the~three-state SOS model on a~Cayley tree with a~translation-invariant external field
\jour TMF
\yr 2022
\vol 212
\issue 3
\pages 448--456
\mathnet{http://mi.mathnet.ru/tmf10280}
\crossref{https://doi.org/10.4213/tmf10280}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4538851}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...212.1276K}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 212
\issue 3
\pages 1276--1283
\crossref{https://doi.org/10.1134/S0040577922090094}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85139246009}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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