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Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 54, Number 1, Pages 8–22 (Mi tmf4360)  
This article is cited in 15 scientific papers (total in 17 papers)

A statistical physics model

V. S. Vladimirov, I. V. Volovich
Full-text PDF (1228 kB) Citations (17)
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Abstract: A Gaussian model on a half-axis with interaction given by a Toeptitz form is considered. The free energy and correlation functions are calculated. A new method of inverting Toeplitz matrices and solving the generalized Wiener-Hopf problem is used. The asymptotic behavior of the correlation functions is studied and the conditions for the presence or absence of long-range order are established. The free energyand correlation functions are calculated for a Gaussian model with external field. An expression is obtained for the free energy of a multidimensional Gaussian model.
Received: 07.07.1982
English version:
Theoretical and Mathematical Physics, 1983, Volume 54, Issue 1, Pages 1–12
DOI: https://doi.org/10.1007/BF01017118
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. S. Vladimirov, I. V. Volovich, “A statistical physics model”, TMF, 54:1 (1983), 8–22; Theoret. and Math. Phys., 54:1 (1983), 1–12
Citation in format AMSBIB
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\by V.~S.~Vladimirov, I.~V.~Volovich
\paper A~statistical physics model
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\yr 1983
\vol 54
\issue 1
\pages 8--22
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\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 54
\issue 1
\pages 1--12
\crossref{https://doi.org/10.1007/BF01017118}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RF77900001}
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    • This publication is cited in the following 17 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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    Full-text PDF :164
    References:64
    First page:5
     
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