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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1972 Volume 17, Issue 4, Pages 619–639 (Mi tvp4317)

This article is cited in 140 papers

Gibbs state describing coexistence of phases for a three-dimensional Ising model

R. L. Dobrushin

Moscow

Abstract: We consider a three-dimensional Ising model with critical value of chemical potential and sufficiently small temperature. We prove the existence of an infinite set of different Gibbsian states in infinite volume. All these states are not translation invariant. Physically, they correspond to the situation where there are simultaneously two phases and their bound fluctuates near some plane. The states of such a type are impossible in the two-dimensional case.

Received: 24.03.1972


 English version:
Theory of Probability and its Applications, 1973, 17:4, 582–600

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