MODELING OF CONCENTRATION AND TEMPERATURE DEPENDENCIES OF INCUBATION TIME AT DECOMPOSITION OF SOLID SOLUTION BY MONTE CARLO METHOD

V. M. Pasichna, A. M. Gusak

Abstract


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.


Keywords


nucleation, Monte Carlo method, solid solution, binodal, spinodal, supersaturation.

References


Kelton K., Greer A. L. (2010). Nucleation in condensed matter: applications in materials and biology. Elsevier, 15.

Schmelzer J. W. P. (2006). Nucleation theory and applications. John Wiley & Sons.

Slezov V. V. (2009). Kinetics of first order phase transitions. John Wiley & Sons.

Soisson F., Martin G. (2000). Monte Carlo simulations of the decomposition of metastable solid solutions: Transient and steady-state nucleation kinetics. Physical Review B, 62(1), 203.

Portavoce A., Tréglia, G. (2010). Physical origin of thickness-controlled sequential phase formation during reactive diffusion: Atomistic modeling. Physical Review B, 82(20), 205431.

Portavoce A., Hoummada K., Ronda A., Mangelinck, D., Berbezier I. (2014). Si/Ge intermixing during Ge Stranski–Krastanov growth. Beilstein journal of nanotechnology, 5, 2374.

Binder K., Heerman D. W. (1988). Simulation in Statistical Physics.

Christian J. W. (2002). The theory of transformations in metals and alloys. Newnes.

Erdélyi Z., Pasichnyy M., Bezpalchuk V., Tomán J. J., Gajdics B., Gusak A. M. (2016). Stochastic kinetic mean field model. Computer Physics Communications, 204, 31-37.

http://skmf.eu.

Bezpalchuk V. M., Kozubski R., Gusak, A. M. (2017). Simulation of the tracer diffusion, bulk ordering, and surface reordering in fcc structures by kinetic mean-field method. Metal physics advances, 18(3), 205-233.

Bezpalchuk V., Abdank-Kozubski R., Pasichnyy M., Gusak A. (2018). Tracer Diffusion and Ordering in FCC Structures-Stochastic Kinetic Mean-Field Method vs. Kinetic Monte Carlo. In Defect and Diffusion Forum. Trans Tech Publications, 383, 59-65.

Gusak A. M., Hodaj F., Bogatyrev A. O. (2001). Kinetics of nucleation in the concentration gradient. Journal of Physics: Condensed Matter, 13(12), 2767.


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