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Teoreticheskaya i Matematicheskaya Fizika, 1972, Volume 12, Number 1, Pages 115–134 (Mi tmf2976)  
This article is cited in 22 scientific papers (total in 22 papers)

Asymptotic behavior of Gibbsian distributions for lattice systems and its dependence on the form of the volume

R. L. Dobrushin
Full-text PDF (2135 kB) Citations (22)
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Abstract: A study is made of the cases for which the existence of Gibbsian states in an infinite lattice was proved in earlier papers. It is proved that Gibbstan states exist in an infinite region, which may be part of the complete lattice, and an investigation is made of the dependence of the correlation functions on the form of the region. The second term in the asymptotic behavior of the free energy, which depends on the form of the region, is found. Finally, some properties of correlation weakening for such Gibbsian states are investigated.
Received: 22.07.1971
English version:
Theoretical and Mathematical Physics, 1972, Volume 12, Issue 1, Pages 699–711
DOI: https://doi.org/10.1007/BF01030046
Bibliographic databases:
Language: Russian
Citation: R. L. Dobrushin, “Asymptotic behavior of Gibbsian distributions for lattice systems and its dependence on the form of the volume”, TMF, 12:1 (1972), 115–134; Theoret. and Math. Phys., 12:1 (1972), 699–711
Citation in format AMSBIB
\Bibitem{Dob72}
\by R.~L.~Dobrushin
\paper Asymptotic behavior of Gibbsian distributions for lattice systems and its dependence on the form of the volume
\jour TMF
\yr 1972
\vol 12
\issue 1
\pages 115--134
\mathnet{http://mi.mathnet.ru/tmf2976}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=479233}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 12
\issue 1
\pages 699--711
\crossref{https://doi.org/10.1007/BF01030046}
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  • https://www.mathnet.ru/eng/tmf/v12/i1/p115
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:60
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