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Periodic Gibbs Measures for Three-State Hard-Core Models in the Case Wand

Р. М. ХакимовInstitute of Mathematics, Namangan State University, 316, Uychi str., Namangan, 160136, UzbekistanK. O. UmirzakovaNamangan State University, 316, Uychi str., Namangan, 160136, Uzbekistan

Zurnal matematiceskoj fiziki analiza geometriijournal2024en

ABI

Annotatsiya

We consider fertile three-state Hard-Core (HC) models with the activity parameter > 0 on a Cayley tree.It is known that there exist four types of such models: wrench, wand, hinge, and pipe.These models arise as simple examples of loss networks with nearest-neighbor exclusion.In the case wand on a Cayley tree of order k 2, exact critical values > 0 are found for which two-periodic Gibbs measures are not unique.Moreover, we study the extremality of the existing two-periodic Gibbs measures on a Cayley tree of order two.

Mavzular

Theoretical and Computational Physics

Identifikatorlar

DOI: 10.15407/mag20.01.066

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