Condensed Matter Physics, 2011, vol. 14, No. 4, p. 43002:1-10
DOI:10.5488/CMP.14.43002           arXiv:1202.4569

Title: Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model
Author(s):
  M.P. Kozlovskii (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine) ,
  R.V. Romanik (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)

The critical behavior of a 3D Ising-like system is studied at the microscopic level of consideration. The free energy of ordering is calculated analytically as an explicit function of temperature, an external field and the initial parameters of the model. Within a unified approach, both Gibbs and Helmholtz free energies are obtained and the dependencies of them on the external field and the order parameter, respectively, are presented graphically. The regions of stability, metastability, and unstability are established on the order parameter--temperature plane. The way of implementation of the well-known Maxwell construction is proposed at microscopic level.

Key words: Ising-like model, critical behavior, external field
PACS: 05.50.+q, 05.70.Ce, 64.60.F-, 75.10.Hk


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