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 TMF, 1991, Volume 87, Number 2, Pages 293–316 (Mi tmf5493)

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

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.

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English version:
Theoretical and Mathematical Physics, 1991, 87:2, 540–556

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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. 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://www.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{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1991GR75800011} 

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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 confluent correction. I. Region above the phase transition point”, Low Temperature Physics, 25:11 (1999), 877
4. 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
5. 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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