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

Abstract

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.

arXiv comment10 pages, 4 figures

References in corpus (3)

• Precise determination of critical exponents and equation of state by field theory methods
• The ϕ_3^4 lattice field theory viewed from the high-temperature side
• The free energy in a magnetic field and the universal scaling equation of state for the three-dimensional Ising model

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• Enhanced approach to calculation of cluster integrals for lattice models of matter