Previously formulated physical principles are used to develop a mathematical model of thermally induced processes of diffusion, phase formation, and stabilization of a spatially inhomogeneous structural-phase state in layered systems containing three isotopes of two elements. The program realization of the model allows quantitative characterization of the kinetics of these processes under arbitrary conditions of thermal annealing. The results of theoretical calculations and the experimental data obtained by Mössbauer spectroscopy and X-ray diffractometry of the layered structure consisting of $^{57}$Fe(0.07 μm)-Ti(1 μm)-Fe$_{0.96}$Ti$_{0.04}$(13 μm)-$^{57}$Fe(0.07 μm) are found to be in good agreement.
$^1$Faculty of Physics, Moscow State University, Moscow, 119991, Russia
$^2$Institute of Nuclear Physics, National Nuclear Center, Almaty, 050032, Kazakhstan
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