An example of one-dimensional phase transition

Abstract

In the paper a one-dimensional model with nearest - neighbor interactions $I_n,n\in \mathbb{Z}$ 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 $I_n\ge |n|,n\in \mathbb{Z}.$

Published in Siberian Adv.Math. 2006, V.16, n.2, p.121-125

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