Mathematical modeling of the influence of deformation effects on the diffusion coefficient of impurities in nanoheterostructures

Authors

DOI:

https://doi.org/10.31652/3041-1955-2026-03-01-04

Keywords:

heterosystem, deformation, impurity, diffusion, mechanical strain, mathematical modeling

Abstract

A mathematical model of diffusion in heterosystems taking into account deformation has been constructed. The mathematical model is based on the solution of the stationary Fick equation modified by mechanical-deformation effects. Within the framework of the developed model, the influence of deformation on the diffusion coefficient of impurities in the heterostructure was studied. It was found that with an increase in the mismatch of the lattice parameters of the contacting materials of the GaAs/InxGa1−xAs/GaAs heterostructure by 7%, the diffusion coefficient of impurity of the type of stretching center in the inner In0.2Ga0.8As layer decreases by 35% relative to the diffusion coefficient of impurities in the unstrained layer, which is associated with an increase in stretching deformation as a result of self-consistent deformation-diffusion redistribution.

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Author Biographies

  • Olesya Dan'kiv, Drohobych Ivan Franko State Pedagogical University
    Candidate of Science in Physіcs and Mathematics, Associate Professor, Department of Physics and Information Systems, Drohobych Ivan Franko State Pedagogical University, 24, Ivan Franko Str., Drohobych 82100, Ukraine
  • Yurij Nechypor, Drohobych Ivan Franko State Pedagogical University
    Postgraduate Student, Department of Physics and Information Systems, DrohobychIvan Franko State Pedagogical University, 24, Ivan Franko Str., Drohobych 82100, Ukraine
  • Oleh Kuzyk, Drohobych Ivan Franko State Pedagogical University
    Candidate of Science in Physіcs and Mathematics, Associate Professor, Department of Physics and Information Systems, Drohobych Ivan Franko State Pedagogical University, 24, Ivan Franko Str., Drohobych 82100, Ukraine

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Published

2026-05-27

Issue

Vol. 3 No. 1 (2026)

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ARTICLES

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Copyright (c) 2026 Олеся Даньків, Юрiй Нечипор, Олег Кузик

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How to Cite

Mathematical modeling of the influence of deformation effects on the diffusion coefficient of impurities in nanoheterostructures. (2026). Mathematics, Informatics, Physics: Science and Education, 3(1), 41–54. https://doi.org/10.31652/3041-1955-2026-03-01-04