GIBBS MEASURES FOR THE HC-BLUME-CAPEL MODEL ON THE CAYLEY TREE.

Autor: N. M., Khatamov
Předmět:
Zdroj: Uzbek Mathematical Journal; 2023, Vol. 67 Issue 2, p115-123, 9p
Abstrakt: In this paper, we consider translation-invariant Gibbs measures (TIGM) for the Blume-Capel model in the case of a graph of type wand on a Cayley tree of order k ≥ 2. An exact critical value θcr = k+1√ kk(k−1)/2k is found such that for θ ≥ θcr there is a single TIGM, and for θ < θcr there are exactly three TIGMs in the case of a graph of type wand for the model under consideration. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index