This article is cited in 24 papers

Fertile HC models with three states on a Cayley tree

U. A. Rozikov^ab, Sh. A. Shoyusupov<sup>a

a</sup> Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
^b GC University, Abdus Salam School of Mathematical Sciences

Abstract: We consider fertile hard-core (HC) models with three states on a homogeneous Cayley tree. It is known that four types of such models exist. For these models, we describe the translation-invariant and periodic HC Gibbs measures. We also construct a uncountable set of nonperiodic Gibbs measures.

Keywords: Cayley tree, configuration, HC model, Gibbs measure.

Received: 10.07.2007

DOI: 10.4213/tmf6256

 English version: Theoretical and Mathematical Physics, 2008, 156:3, 1319–1330

Bibliographic databases:

• 
• 
• 
• 
•