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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 194, Number 2, Pages 304–319
DOI: https://doi.org/10.4213/tmf9309 (Mi tmf9309) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Ground states and phase transition of the $\lambda$ model on the Cayley tree

F. M. Mukhamedova, Ch. Pahb, H. Jamilb

a Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain, UAE
b Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, Kuantan, Malasia
Full-text PDF (544 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf9309
Abstract: We consider the $\lambda$ model, a generalization of the Potts model, with spin values $\{1,2,3\}$ on the order-two Cayley tree. We describe the model ground states and prove that translation-invariant Gibb measures exist, which means that a phase transition exists. We establish that two-periodic Gibbs measures exist.
Keywords: ground state, phase transition, Gibbs measure.
Received: 28.11.2016
English version:
Theoretical and Mathematical Physics, 2018, Volume 194, Issue 2, Pages 260–273
DOI: https://doi.org/10.1134/S004057791802006X
Bibliographic databases:
Language: Russian
Citation: F. M. Mukhamedov, Ch. Pah, H. Jamil, “Ground states and phase transition of the $\lambda$ model on the Cayley tree”, TMF, 194:2 (2018), 304–319; Theoret. and Math. Phys., 194:2 (2018), 260–273
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    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
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