Мақола

Translation-invariant Gibbs measures for a model with logarithmic potential on a Cayley tree

Yu. Kh. ÈshkabilovNational University of Uzbekistan, Tashkent, UzbekistanSh.P. BobonazarovTashkent Institute of Irrigation and Melioration, Tashkent, UzbekistanR.I. TeshaboevTermez State University, Termez, Uzbekistan

Nanosystems Physics Chemistry Mathematicsjournal2016en

ABI

Аннотация

In this paper, we consider a model with logarithmical potential and with the set [0, 1] of spin values, on a Cayley tree k of the order k. In the case k = 2, 3, we shall prove that, there is a unique translation-invariant splitting Gibbs measure for this model. For the case k = 4, we show that there are three translation-invariant Gibbs measures for this model.

Мавзулар

Theoretical and Computational Physics Quantum chaos and dynamical systems Opinion Dynamics and Social Influence

Идентификаторлар

DOI: 10.17586/2220-8054-2016-7-5-893-899

Иқтибослар ва манбалар

1 та иқтибос 13 та фойдаланилган манба

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