Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 212, Number 3, Pages 448–456
DOI: https://doi.org/10.4213/tmf10280 (Mi tmf10280) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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
Full-text PDF (434 kB) Citations (2)
References:
PDF
HTML
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
\Bibitem{Kar22}
\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}
Linking options:
  • https://www.mathnet.ru/eng/tmf10280
  • https://doi.org/10.4213/tmf10280
  • https://www.mathnet.ru/eng/tmf/v212/i3/p448
    • This publication is cited in the following 2 articles:
    1. R. M. Khakimov, M. T. Makhammadaliev, “Translation-Invariant Gibbs Measures for the Hard Core Model with a Countable Set of Spin Values”, Lobachevskii J Math, 45:8 (2024), 3897  crossref
    2. Muzaffar M. Rahmatullaev, Bunyod U. Abraev, “Ground States and Gibbs Measures for the SOS Model with an External Field and Countable Set of Spin Values on a Cayley Tree”, Lobachevskii J Math, 45:11 (2024), 5888  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:197
    Full-text PDF :50
    References:46
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025