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>Tc. 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.
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<Tc”, TMF, 87:3 (1991), 434–455; Theoret. and Math. Phys., 87:3 (1991), 641–656
This publication is cited in the following 8 articles:
I.V. Pylyuk, “Fluid critical behavior at liquid–gas phase transition: Analytic method for microscopic description”, Journal of Molecular Liquids, 310 (2020), 112933
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
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
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
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
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
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
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
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