Uu; 82.56.Lz MODELING OF CONCENTRATION AND TEMPERATURE DEPENDENCIES OF INCUBATION TIME AT DECOMPOSITION OF SOLID SOLUTION BY MONTE CARLO METHOD * The article presents the application of Monte Carlo method to the kinetics of nucleation at the decomposition of a binary solid solution with a face-centered cubic lattice. We built a phase diagram of a binary solid solution by Monte Carlo method and found the dependence of incubation time on supersaturation of solid solution at different reduced temperatures in metastable regions. Obtained results of the computer experiment are compared with the classical nucleation theory, in which the nucleus is born at once with almost optimal composition, and then just grows.

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The comparison of two simulation techniques applied to the nucleation in a supersaturated solid solution is made. The first one is the well-known Monte Carlo (MC) method. The second one is a recently developed modification of the atomistic self-consistent non-linear mean-field method with the additionally introduced noise of local fluxes: Stochastic Kinetic Mean-Field (SKMF) method. The amplitude of noise is a tuning parameter of the SKMF method in its comparison with the Monte Carlo one. The results of two methods for the concentration and temperature dependences of the incubation period become close, if one extrapolates the SKMF data to a certain magnitude of the noise amplitude. The results of both methods are compared also with the Classical Nucleation Theory (CNT).