Abstract
We investigate a model for Ising binary alloys driven by elastic interactions for the case of ferromagnetic interactions and constant volume conditions. The two alloy species are Si and Ge, interacting via the Stillinger-Weber potential, and classical Monte Carlo simulations in the semi-grand-canonical ensemble are utilized in the framework of a compressible Ising model. The volume is selected to be much closer to pure Ge than to Si to provide a significant difference between the species. We find a closed first-order line that divides an ``ordered'' phase from the disordered state for all temperatures and chemical potentials, in disagreement with theoretical predictions. Visualizations were made to elucidate the surprising structure of the ordered phase---where the less favorable species (Si in this case) congregates in planes. An interpretation of this equilibrium structure in terms of minimal variations of interatomic distances and angles with respect to the pure phases is made.
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