Thermodynamic characteristics of the classical n-vector magnetic model in three dimensions

Details Thermodynamic characteristics of the classical n-vector magnetic model in three dimensions Thermodynamic characteristics of the classical n-vector magnetic model in three dimensions

1998-12-22

arxiv.org/abs/cond-mat/9812371v1

Phys.Rev.B62:9599-9615,2000

Physics

Condensed Matter

Statistical Mechanics

25 pages, 5 figures

Scientific paper

10.1103/PhysRevB.62.9599

The method of calculating the free energy and thermodynamic characteristics of the classical n-vector three-dimensional (3D) magnetic model at the microscopic level without any adjustable parameters is proposed. Mathematical description is perfomed using the collective variables (CV) method in the framework of the $\rho^4$ model approximation. The exponentially decreasing function of the distance between the particles situated at the N sites of a simple cubic lattice is used as the interaction potential. Explicit and rigorous analytical expressions for entropy,internal energy, specific heat near the phase transition point as functions of the temperature are obtained. The dependence of the amplitudes of the thermodynamic characteristics of the system for $T>T_c$ and $T

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