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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 190, Number 1, Pages 112–123
DOI: https://doi.org/10.4213/tmf9061 (Mi tmf9061) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Free energies of the Potts model on a Cayley tree

U. A. Rozikov, M. M. Rakhmatullaev

Institute of Mathematics, Mirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (462 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf9061
Abstract: For the Potts model on the Cayley tree, we obtain some explicit formulas for the free energies and entropies in the case of vector-valued boundary conditions. These formulas include translation-invariant, periodic, and Dobrushin-like boundary conditions and also those corresponding to weakly periodic Gibbs measures.
Keywords: Cayley tree, Potts model, boundary condition, Gibbs measure, free energy, entropy.
Received: 29.09.2015
English version:
Theoretical and Mathematical Physics, 2017, Volume 190, Issue 1, Pages 98–108
DOI: https://doi.org/10.1134/S0040577917010081
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: U. A. Rozikov, M. M. Rakhmatullaev, “Free energies of the Potts model on a Cayley tree”, TMF, 190:1 (2017), 112–123; Theoret. and Math. Phys., 190:1 (2017), 98–108
Citation in format AMSBIB
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    • This publication is cited in the following 12 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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