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An example of one-dimensional phase transition

U. A. Rozikov

math-pharXiv:math-ph/0606068

Abstract

In the paper a one-dimensional model with nearest - neighbor interactions In, n∈ and spin values 1 is considered. We describe a condition on parametres In under which the phase transition occurs. In particular, we show that the phase transition occurs if In≥ |n|, n∈ .

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