The Gibbs free energy in the generalized lattice model of multicomponent condensed systems

Abstract

The thermodynamic properties of condensed systems are determined by interatomic potentials, the short-range parts of which limit the local density of the system, and the long-range parts form fields that determine the dynamics of interacting atoms. In the generalized lattice model, the short-range parts of interatomic potentials are taken into account by introducing intrinsic atomic volumes. Moreover, unlike conventional lattice models, the atomic volumes of various components of the system can differ from each other. The presence of short-range parts of interatomic potentials is taken into account using the close packing condition. In addition to atoms, the system assumes the presence of vacancies which constitute one of the components of the system. The contribution of vacancies to thermodynamic functions is taken into account using the entropy term. Long-range parts of interatomic interactions are taken into account within the framework of a self-consistent approximation. A connection between the generalized lattice model and the Ginzburg-Landau approximation has been established, and the connection between the characteristics of interatomic potentials and the properties of phase boundaries has been studied.