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Mathematics of the USSR-Sbornik, 1974, Volume 22, Issue 1, Pages 28–48
DOI: https://doi.org/10.1070/SM1974v022n01ABEH001684 (Mi sm2956) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Conditions for the absence of phase transitions in one-dimensional classical systems

R. L. Dobrushin
English version PDF (1077 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/SM1974v022n01ABEH001684
Abstract: We consider a wide class of one-dimensional systems in classical statistical physics which includes both continuous and lattice models. We prove a result concerning the uniqueness of the Gibbs state which generalizes earlier known results. As a consequence of this result we prove the differentiability of the free energy and the uniformly strong mixing property of Gibbs random processes.
Bibliography: 20 titles.
Received: 15.11.1972
Bibliographic databases:
UDC: 519.2
MSC: Primary 82A05, 82A25; Secondary 82A15
Language: English
Original paper language: Russian
Citation: R. L. Dobrushin, “Conditions for the absence of phase transitions in one-dimensional classical systems”, Math. USSR-Sb., 22:1 (1974), 28–48
Citation in format AMSBIB
\Bibitem{Dob74}
\by R.~L.~Dobrushin
\paper Conditions for the absence of phase transitions in one-dimensional classical systems
\jour Math. USSR-Sb.
\yr 1974
\vol 22
\issue 1
\pages 28--48
\mathnet{http://mi.mathnet.ru//eng/sm2956}
\crossref{https://doi.org/10.1070/SM1974v022n01ABEH001684}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=386568}
\zmath{https://zbmath.org/?q=an:0307.60081}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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