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

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

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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
\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. II.~The~case $T<T_c$ \jour TMF \yr 1991 \vol 87 \issue 3 \pages 434--455 \mathnet{http://mi.mathnet.ru/tmf5505} \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} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1991GW78600008} 

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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
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
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
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
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
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
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
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