Abstract:
Periodic Gibbs measures for the HC-Blume–Capel model with a chemical potential with parameters (θ,η) on a Cayley tree in the case of a wand graph are studied. We prove that in this case for θ3⩽η there exist precisely three periodic Gibbs measures, all of which are translation-invariant, while for θ3>η there exist precisely three periodic Gibbs measures, one of which is translation-invariant and the other two are 2-periodic (but not translation-invariant). The (non)extremality of these measures is also studied.
Citation:
N. M. Khatamov, “Periodic Gibbs Measures and Their Extremality for the HC-Blume–Capel Model in the Case of a Wand with a Chemical Potential on a Cayley Tree”, Mat. Zametki, 115:1 (2024), 108–122; Math. Notes, 115:1 (2024), 89–101
\Bibitem{Kha24}
\by N.~M.~Khatamov
\paper Periodic Gibbs Measures and Their Extremality for the HC-Blume--Capel Model in the Case of a Wand with a Chemical Potential on a Cayley Tree
\jour Mat. Zametki
\yr 2024
\vol 115
\issue 1
\pages 108--122
\mathnet{http://mi.mathnet.ru/mzm13939}
\crossref{https://doi.org/10.4213/mzm13939}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4734345}
\transl
\jour Math. Notes
\yr 2024
\vol 115
\issue 1
\pages 89--101
\crossref{https://doi.org/10.1134/S0001434624010085}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85190837051}
Citation in format AMSBIB
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