Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model

Details Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model Gibbs free energy and Helmholtz free energy for a three-dimensional Ising-like model

2012-02-21

arxiv.org/abs/1202.4569v1

Condens. Matter Phys., 2011, vol. 14, No. 4, p. 43002:1-10

Physics

Condensed Matter

Statistical Mechanics

10 pages, 4 figures

Scientific paper

10.5488/CMP.14.43002

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.

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