Two alternative models for description of phase formation and competition are suggested: (1) 3D generalization of Martin-Erdelyi-Beke model of simultaneous interdiffusion and ordering in binary diffusion couples with face-centered cubic (FCC) or body-centered cubic (BCC) coherent lattices and (2) phase-field-type model with random choice of phase variable for elementary cells with compositions within two-phase regions. Dependence of phase nucleation and phase competition on thermodynamic and kinetic factors is studied.
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