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Ground States and Gibbs Measures for the Potts-SOS Model with an External Field on the Cayley Tree

M. M. RahmatullaevInstitute of Mathematics, 100174, Tashkent, UzbekistanM. A. RasulovaInstitute of Mathematics, 100174, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2024en

ABI

Annotatsiya

We consider the Potts-SOS model with non-zero external field on the Cayley tree. We describe the ground states for the Potts-SOS model with a translation-invariant external field. We verify the Peierls condition for the model. Using a contour argument, we show the existence of two different Gibbs measures at sufficiently low temperatures. Periodic ground states for the Potts-SOS model with a periodic external field are also found.

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Theoretical and Computational Physics Quantum many-body systems Opinion Dynamics and Social Influence

Identifikatorlar

DOI: 10.1134/s1995080224010451

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