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Thermodynamic functions of a three-dimensional Ising model near a phase transition point taking into account scaling corrections. II: The case \(T<T_{\text{c}}\). (English. Russian original) Zbl 1189.82037

Theor. Math. Phys. 87, No. 3, 641-656 (1991); translation from Teor. Mat. Fiz. 87, No. 3, 434-455 (1991).
Summary: 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 \(T>T_{\text{c}}\) [cf. Part I, Theor. Math. Phys. 87, No. 2, 540–556 (1991); translation from Teor. Mat. Fiz. 87, No. 2, 293–316 (1991; Zbl 1189.82036)]. 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.

MSC:

82B26 Phase transitions (general) in equilibrium statistical mechanics
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics

Citations:

Zbl 1189.82036
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