An example of one-dimensional phase transition

Details An example of one-dimensional phase transition An example of one-dimensional phase transition

2006-06-29

arxiv.org/abs/math-ph/0606068v1

Physics

Mathematical Physics

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

Scientific paper

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 $I_n\geq |n|, n\in \Z.$

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