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Teoriya Veroyatnostei i ee Primeneniya, 1965, Volume 10, Issue 2, Pages 209–230 (Mi tvp518)  
This article is cited in 68 scientific papers (total in 68 papers)

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

R. L. Dobrushin

Moscow
Full-text PDF (1340 kB) Citations (68)
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, Volume 10, Issue 2, Pages 193–213
DOI: https://doi.org/10.1137/1110026
Bibliographic databases:
Language: Russian
Citation: R. L. Dobrushin, “The existence of a phase transition in the two- and three-dimensional Ising models”, Teor. Veroyatnost. i Primenen., 10:2 (1965), 209–230; Theory Probab. Appl., 10:2 (1965), 193–213
Citation in format AMSBIB
\Bibitem{Dob65}
\by R.~L.~Dobrushin
\paper The existence of a~phase transition in the two- and three-dimensional Ising models
\jour Teor. Veroyatnost. i Primenen.
\yr 1965
\vol 10
\issue 2
\pages 209--230
\mathnet{http://mi.mathnet.ru/tvp518}
\zmath{https://zbmath.org/?q=an:0168.23803}
\transl
\jour Theory Probab. Appl.
\yr 1965
\vol 10
\issue 2
\pages 193--213
\crossref{https://doi.org/10.1137/1110026}
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  • https://www.mathnet.ru/eng/tvp518
  • https://www.mathnet.ru/eng/tvp/v10/i2/p209
    Erratum
    This publication is cited in the following 68 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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