Article

Phase transitions for models with a continuum set of spin values on a Bethe lattice

Yu. Kh. ÈshkabilovKarshi State University, Kashkhadaryo, UzbekistanG. I. BotirovF. Kh. KhaidarovNational University of Uzbekistan, Tashkent, Uzbekistan

Theoretical and Mathematical Physicsjournal2020en

ABI

Abstract

We consider a model with nearest-neighbor interactions and the set $$[0,1]$$ of spin values on a Bethe lattice (Cayley tree) of arbitrary order. This model depends on a continuous parameter $$\theta$$ and is a generalization of known models. For all values of $$\theta$$ , we give a complete description of the set of translation-invariant Gibbs measures of this model.

Topics

Theoretical and Computational Physics Stochastic processes and statistical mechanics Markov Chains and Monte Carlo Methods

Identifiers

DOI: 10.1134/s0040577920100104

Citations and references

Cited by 018 references

Metrics — AkademScholar · Coming soon