Geodesic
Thermodynamic functions of three-dimensional ising model near the phase transition point with allowance for corrections to scaling. I. The case $T>T_c$
Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 2, pp. 293-316 
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 $T>T_c$. Teoretičeskaâ i matematičeskaâ fizika, Tome 87 (1991) no. 2, pp. 293-316. http://geodesic.mathdoc.fr/item/TMF_1991_87_2_a10/
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     title = {Thermodynamic functions of three-dimensional ising model near the phase transition point with allowance for corrections to scaling. {I.~The~case} $T>T_c$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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