This article is cited in 3 scientific papers (total in 3 papers)
Gibbs state describing coexistence of phases for a three-dimensional Ising model
R. L. Dobrushin
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.
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Theory of Probability and its Applications, 1973, 17:4, 582–600
R. L. Dobrushin, “Gibbs state describing coexistence of phases for a three-dimensional Ising model”, Teor. Veroyatnost. i Primenen., 17:4 (1972), 619–639; Theory Probab. Appl., 17:4 (1973), 582–600
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\paper Gibbs state describing coexistence of phases for a three-dimensional Ising model
\jour Teor. Veroyatnost. i Primenen.
\jour Theory Probab. Appl.
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V. L. Kuz'min, “Small-parameter series for the surface tension in a lattice model”, Theoret. and Math. Phys., 76:3 (1988), 961–967
R. A. Minlos, “R. L. Dobrushin – one of the founders of modern mathematical physics”, Russian Math. Surveys, 52:2 (1997), 251–256
A. G. Basuev, “Ising model in half-space: A series of phase transitions in low
magnetic fields”, Theoret. and Math. Phys., 153:2 (2007), 1539–1574
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