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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 87, Number 2, Pages 293–316 (Mi tmf5493)  

This article is cited in 6 scientific papers (total in 6 papers)

Thermodynamic functions of three-dimensional ising model near the phase transition point with allowance for corrections to scaling. I. The case $T>T_c$

M. P. Kozlovskii, I. V. Pylyuk, I. R. Yukhnovskii
References:
Abstract: A method is proposed for finding explicit expressions for the thermodynamic functions of the three-dimensional Ising model at $T>T_c$ with allowance for confluent corrections. The critical exponents are found together with expressions for the critical amplitudes of the basic characteristics of the model (free energy, entropy, internal energy, specific heat, susceptibility) as functions of the microscopic parameters of the Hamiltonian. It is shown that positivity and correct temperature dependence of the entropy and specific heat are ensured by the contribution of the long-wavelength phases of the fluctuations of the spin-moment density. The short-wavelength phases are responsible for the formation of the values of the critical exponents.
Received: 16.11.1990
English version:
Theoretical and Mathematical Physics, 1991, Volume 87, Issue 2, Pages 540–556
DOI: https://doi.org/10.1007/BF01016127
Bibliographic databases:
Language: Russian
Citation: M. P. Kozlovskii, I. V. Pylyuk, I. R. Yukhnovskii, “Thermodynamic functions of three-dimensional ising model near the phase transition point with allowance for corrections to scaling. I. The case $T>T_c$”, TMF, 87:2 (1991), 293–316; Theoret. and Math. Phys., 87:2 (1991), 540–556
Citation in format AMSBIB
\Bibitem{KozPylYuk91}
\by M.~P.~Kozlovskii, I.~V.~Pylyuk, I.~R.~Yukhnovskii
\paper Thermodynamic functions of three-dimensional ising model near the phase transition point with allowance for corrections to scaling. I.~The~case $T>T_c$
\jour TMF
\yr 1991
\vol 87
\issue 2
\pages 293--316
\mathnet{http://mi.mathnet.ru/tmf5493}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1129669}
\zmath{https://zbmath.org/?q=an:1189.82036}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 87
\issue 2
\pages 540--556
\crossref{https://doi.org/10.1007/BF01016127}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GR75800011}
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  • https://www.mathnet.ru/eng/tmf/v87/i2/p293
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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