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Teoriya Veroyatnostei i ee Primeneniya, 1972, Volume 17, Issue 4, Pages 619–639 (Mi tvp4317)  
This article is cited in 140 scientific papers (total in 140 papers)

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

R. L. Dobrushin

Moscow
Full-text PDF (3177 kB) Citations (140)
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, Volume 17, Issue 4, Pages 582–600
DOI: https://doi.org/10.1137/1117073
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: 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
Citation in format AMSBIB
\Bibitem{Dob72}
\by R.~L.~Dobrushin
\paper Gibbs state describing coexistence of phases for a three-dimensional Ising model
\jour Teor. Veroyatnost. i Primenen.
\yr 1972
\vol 17
\issue 4
\pages 619--639
\mathnet{http://mi.mathnet.ru/tvp4317}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=421546}
\zmath{https://zbmath.org/?q=an:0275.60119}
\transl
\jour Theory Probab. Appl.
\yr 1973
\vol 17
\issue 4
\pages 582--600
\crossref{https://doi.org/10.1137/1117073}
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    • This publication is cited in the following 140 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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