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TMF, 1980, Volume 42, Number 2, Pages 262–270 (Mi tmf2370)  

This article is cited in 3 scientific papers (total in 3 papers)

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

R. Z. Bariev


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.

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English version:
Theoretical and Mathematical Physics, 1980, 42:2, 173–178

Bibliographic databases:

Received: 21.02.1979

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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1980KH91900011}


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  • http://mi.mathnet.ru/eng/tmf/v42/i2/p262

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    Citing articles on Google Scholar: Russian citations, English citations
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    Cycle of papers

    This publication is cited in the following articles:
    1. R. Z. Bariev, “Critical properties of a system near an angle boundary”, Theoret. and Math. Phys., 69:1 (1986), 1061–1062  mathnet  crossref  mathscinet  isi
    2. R. Z. Bariev, “Correlation functions of semi-infinite two-dimensional Ising model. III. Influence of a “fixed” boundary”, Theoret. and Math. Phys., 77:1 (1988), 1090–1095  mathnet  crossref  mathscinet  isi
    3. Schuricht, D, “Dynamical response functions in the quantum Ising chain with a boundary”, Journal of Statistical Mechanics-Theory and Experiment, 2007, P11004  crossref  mathscinet  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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