Phase Competition in a Model of Divided Couple

the condition of concentration readiness for phase 1 growth becomes 

The value of for the metastable phase can be estimated by the method, proposed in [17]. 

we do not consider the time of lattice reconstraction. Then, the time of diffusion suppression of phase 1 nuclei can be considered as the incubation time Equation 3.41, provided it is larger than the time of concentration preparation for 

If the condition. Equation 3.47 is not fulfilled, that is, diffusion permeability of phase 1 is high enough and its nuclei are competitive, the concentration preparation time becomes equal to the incubation time. Equation 3.46. A rigorous theory of nucleation in a concentration gradient and its influence on the incubation period and phase competition was developed by Gusak, Desre, and Hodaj in the series of papers [7, 33-40]. 

The problem of obtaining and suppressing intermediate phases is of particular interest when solid-phase reactions in powder mixtures are analyzed. Let us consider the initial stage of sintering of the simplest binary mixture when the particles of the initial components stiU preserve independence and one can speak of two connected surfaces with different total squares Sa, Sg, brought into contact via fast surface diffusion and diffusion through the gas phase. Eor simplicity, let us take a system of two almost mutually insoluble components, giving two 

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