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The Kirkendall and Frenkel effects during 2D diffusion process

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  • Wierzba, Bartek

Abstract

The two-dimensional approach for inter-diffusion and voids generation is presented. The voids evolution and growth is discussed. This approach is based on the bi-velocity (Darken) method which combines the Darken and Brenner concepts that the volume velocity is essential in defining the local material velocity in multi-component mixture at non-equilibrium. The model is formulated for arbitrary multi-component two-dimensional systems. It is shown that the voids growth is due to the drift velocity and vacancy migration. The radius of the void can be easily estimated. The distributions of (1) components, (2) vacancy and (3) voids radius over the distance is presented.

Suggested Citation

  • Wierzba, Bartek, 2014. "The Kirkendall and Frenkel effects during 2D diffusion process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 71-76.
    • Handle: RePEc:eee:phsmap:v:413:y:2014:i:c:p:71-76
    DOI: 10.1016/j.physa.2014.06.084
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    Cited by:

    1. Wierzba, B. & Skibiński, W. & Wedrychowicz, S. & Wierzba, P., 2015. "The voids kinetics during diffusion process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 268-273.
    2. Zhang, Fan & Zhang, Boyan & Chen, Xiaopan & Zhang, Xinhong & Zhu, Xiaoke & Du, Haishun, 2020. "Computational simulation of voids formation and evolution in Kirkendall effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).

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