3 research outputs found
New class of Gibbs measures for two state Hard-Core model on a Cayley tree
In this paper, we consider a Hard-Core 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