Preprint

New class of Gibbs measures for two state Hard-Core model on a Cayley tree

Р. М. ХакимовNational University of Uzbekistan , Tashkent , UzbekistanM. T. MakhammadalievNational University of Uzbekistan , Tashkent , UzbekistanF. H. HaydarovRomanovskiy Institute of Mathematics of the Academy of Sci- ences of Uzbekistan , Tashkent , Uzbekistan. AKFA University , Tashkent , Uzbekistan

2023en

ABI

Annotatsiya

In this paper, we consider a Hard-Core $(HC)$ model with two spin values on Cayley trees. The conception of alternative Gibbs measure is introduced and translational invariance conditions for alternative Gibbs measures are found. Also, we show that the existence of alternative Gibbs measures which are not translation-invariant. In addition, we study free energy of the model.

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Identifikatorlar

DOI: 10.48550/arxiv.2306.03429

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