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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1965 Volume 10, Issue 2, Pages 209–230 (Mi tvp518)

This article is cited in 68 papers

The existence of a phase transition in the two- and three-dimensional Ising models

R. L. Dobrushin

Moscow

Abstract: We prove that in the case of $\nu$-dimensional Ising models ($\nu>1$) the system exhibits a phase transiton if the equations (1.7) and (1.6) where $T$ is the temperature and $\nu$ is the specific volume hold true.

Received: 30.09.1964


 English version:
Theory of Probability and its Applications, 1965, 10:2, 193–213

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