U. A. Rozikov
Published 2006-06-29Version 1
In the paper a one-dimensional model with nearest - neighbor interactions $I_n, n\in \Z$ and spin values $\pm 1$ is considered. We describe a condition on parametres $I_n$ under which the phase transition occurs. In particular, we show that the phase transition occurs if $I_n\geq |n|, n\in \Z.$
Comments: Published in Siberian Adv.Math. 2006, V.16, n.2, p.121-125
Four competing interactions for models with uncountable set of spin values on the Cayley Tree
Non-translation-invariant Gibbs Measures for Models With Uncountable Set of Spin Values on a Cayley Tree
Phase Transitions for a model with uncountable set of spin values on a Cayley tree
