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TMF, 1991, Volume 87, Number 3, Pages 434–455 (Mi tmf5505)  

This article is cited in 7 scientific papers (total in 7 papers)

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

M. P. Kozlovskii, I. V. Pylyuk, I. R. Yukhnovskii


Abstract: Explicit expressions are obtained for the thermodynamic functions of the three-dimensional Ising model with allowance for confluent corrections at temperatures below the critical value. It is shown that the critical amplitudes of these corrections can be represented in the form of a universal part and a nonuniversal factor, which depends on the microscopic parameters of the Hamiltonian. The obtained results are compared with the case $T>T_c$. Expressions are found for some combinations of the critical amplitudes. The contribution made by the corrections to scaling to the specific heat of the system is estimated.

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English version:
Theoretical and Mathematical Physics, 1991, 87:3, 641–656

Bibliographic databases:

Received: 16.11.1990

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. II. The case $T<T_c$”, TMF, 87:3 (1991), 434–455; Theoret. and Math. Phys., 87:3 (1991), 641–656

Citation in format AMSBIB
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\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. II.~The~case $T<T_c$
\jour TMF
\yr 1991
\vol 87
\issue 3
\pages 434--455
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1129677}
\zmath{https://zbmath.org/?q=an:1189.82037}
\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 87
\issue 3
\pages 641--656
\crossref{https://doi.org/10.1007/BF01017952}
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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. V. V. Dukhovyi, M. P. Kozlovskii, I. V. Pylyuk, “Equation of state in 3-D Ising model from microscopic level calculation”, Theoret. and Math. Phys., 107:2 (1996), 650–666  mathnet  crossref  crossref  zmath  isi
    2. I. V. Pylyuk, “Critical behavior of the three-dimensional Ising sistem: Dependence of themodynamic characteristics on microscopic parameters”, Theoret. and Math. Phys., 117:3 (1998), 1459–1482  mathnet  crossref  crossref  zmath  isi
    3. Pylyuk, IV, “Description of critical behavior of Ising ferromagnet in the rho(6) model approximation taking into account the confluent correction. II. Region below the phase transition point”, Low Temperature Physics, 25:12 (1999), 953  crossref  adsnasa  isi
    4. Pylyuk, IV, “Description of critical behavior of Ising ferromagnet in the rho(6) model approximation taking into account confluent correction. I. Region above the phase transition point”, Low Temperature Physics, 25:11 (1999), 877  crossref  adsnasa  isi
    5. Yukhnovskii, IR, “Study of the critical behaviour of three-dimensional Ising-like systems on the basis of the rho(6) model with allowance for microscopic parameters: II. Low-temperature region”, Journal of Physics-Condensed Matter, 14:45 (2002), 11701  crossref  adsnasa  isi
    6. Yukhnovskii, IR, “Study of the critical behaviour of three-dimensional Ising-like systems on the basis of the rho(6) model with allowance for microscopic parameters: I. High-temperature region”, Journal of Physics-Condensed Matter, 14:43 (2002), 10113  crossref  adsnasa  isi
    7. Yukhnovskii, IR, “Thermodynamics of three-dimensional Ising-like systems in the higher non-Gaussian approximation: Calculational method and dependence on microscopic parameters”, Physical Review B, 66:13 (2002), 134410  crossref  adsnasa  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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