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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 42, Number 2, Pages 262–270 (Mi tmf2370)  

This article is cited in 15 scientific papers (total in 15 papers)

Correlation functions of the semi-infinite two-dimensional ising model. II. Two-point correlation functions

R. Z. Bariev
References:
Abstract: The two-point correlations formed by spin and energy-density operators are calculated exactly for the semi-infinite two-dimensional Ising model. It is shown that these correlations have a scaling form near the critical point. The asymptotic behaviour of the scaling functions is studied for various distances and configurations of operators on the lattice. The results obtained are used for the verification of the phenomenological theories: the decay of correlations and scaling. On the basis of the exact results the phenomenological rule for calculating the asymptotics of the correlation functions is proposed for the case when the distance between one of the operators and the boundary is much smaller than the distance between the operators. Using this rule, the dependence of the local thermodynamic functions on the distance from the boundary is obtained.
Received: 21.02.1979
English version:
Theoretical and Mathematical Physics, 1980, Volume 42, Issue 2, Pages 173–178
DOI: https://doi.org/10.1007/BF01032121
Bibliographic databases:
Language: Russian
Citation: R. Z. Bariev, “Correlation functions of the semi-infinite two-dimensional ising model. II. Two-point correlation functions”, TMF, 42:2 (1980), 262–270; Theoret. and Math. Phys., 42:2 (1980), 173–178
Citation in format AMSBIB
\Bibitem{Bar80}
\by R.~Z.~Bariev
\paper Correlation functions of~the semi-infinite two-dimensional ising model. II.~Two-point correlation functions
\jour TMF
\yr 1980
\vol 42
\issue 2
\pages 262--270
\mathnet{http://mi.mathnet.ru/tmf2370}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 42
\issue 2
\pages 173--178
\crossref{https://doi.org/10.1007/BF01032121}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KH91900011}
Linking options:
  • https://www.mathnet.ru/eng/tmf2370
  • https://www.mathnet.ru/eng/tmf/v42/i2/p262
  • This publication is cited in the following 15 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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    Abstract page:349
    Full-text PDF :155
    References:48
    First page:1
     
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