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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 199, Number 1, Pages 134–141
DOI: https://doi.org/10.4213/tmf9588 (Mi tmf9588) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Periodic Gibbs measures for the Potts–SOS model on a Cayley tree

M. A. Rasulova

Namangan State University, Uzbekistan
Full-text PDF (409 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf9588
Abstract: We describe periodic Gibbs measures for the Potts–SOS model on a Cayley tree of order k⩾1, i.e. a characterization of such measures with respect to any normal subgroup of finite index of the group representation of the Cayley tree.
Keywords: Cayley tree, configuration, Potts–SOS model, periodic Gibbs measure.
Received: 05.05.2018
Revised: 05.05.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 199, Issue 1, Pages 586–592
DOI: https://doi.org/10.1134/S0040577919040081
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. A. Rasulova, “Periodic Gibbs measures for the Potts–SOS model on a Cayley tree”, TMF, 199:1 (2019), 134–141; Theoret. and Math. Phys., 199:1 (2019), 586–592
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf9588
  • https://doi.org/10.4213/tmf9588
  • https://www.mathnet.ru/eng/tmf/v199/i1/p134
    • This publication is cited in the following 9 articles:
    1. Hasan Ak{\i}n, “The qualitative properties of 1D mixed-type Potts-SOS model with 1-spin and its dynamical behavior”, Phys. Scr., 99:5 (2024), 055231  crossref
    2. M. M. Rahmatullaev, M. A. Rasulova, “Ground States and Gibbs Measures for the Potts-SOS Model with an External Field on the Cayley Tree”, Lobachevskii J Math, 45:1 (2024), 518  crossref
    3. Hasan Ak{\i}n, “Phase transition analysis of the Potts-SOS model with spin set {-1,0,+1} on the Cayley tree”, Phys. Scr., 99:12 (2024), 125204  crossref
    4. M. M. Rakhmatullaev, M. A. Rasulova, “Opisanie slabo periodicheskikh osnovnykh sostoyanii dlya modeli Pottsa s vneshnim polem i schetnym mnozhestvom znachenii spina na dereve Keli”, Vladikavk. matem. zhurn., 25:4 (2023), 103–119  mathnet  crossref
    5. M. Rakhmatullaev, M. Rasulova, “Translyatsionno-invariantnye mery Gibbsa dlya modeli Potts-SOS”, Vestnik Oshskogo gosudarstvennogo universiteta. Matematika. Fizika. Tekhnika, 2023, no. 1 (2), 176  crossref
    6. O. Sh. Karshiboev, “Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field”, Theoret. and Math. Phys., 212:3 (2022), 1276–1283  mathnet  crossref  crossref  mathscinet  adsnasa
    7. U. A. Rozikov, “Gibbs measures of Potts model on Cayley trees: a survey and applications”, Rev. Math. Phys., 33:10 (2021), 2130007  crossref  mathscinet  isi
    8. M. M. Rahmatullaev, M. A. Rasulova, “Extremality of translation-invariant Gibbs measures for the Potts-SOS model on the Cayley tree”, J. Stat. Mech.-Theory Exp., 2021:7 (2021), 073201  crossref  mathscinet  isi
    9. F. Mukhamedov, Ch. H. Pah, H. Jamil, M. Rahmatullaev, “On ground states and phase transition for lambda-model with the competing Potts interactions on Cayley trees”, Physica A, 549 (2020), 124184  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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