Double spin one-half lattice gas model

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Abstract
A double spin one-half lattice gas model is introduced in order to simulate the thermodynamical behaviour of annealed binary alloys, the two constituents of which are magnetic. The ferromagnetic Ising-like Hamiltonian is solved in the molecular field approximation. Various types of phase diagrams are found, exhibiting critical points for phase separation, magnetic critical lines, triple and tricritical points. Magnetic ordering may hinder or enhance phase separation induced by interatomic interactions, or even induce it in an ideal mixture. The Blume-Emery-Griffiths results are recovered in a particular case. The model may apply to the description of liquid crystal mixtures and the interplay between phase separation and nematic ordering