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Patterning and pattern selection in a surface layer: Feedback between point defects population and surface layer temperature variations

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  • Kharchenko, Dmitrii O.
  • Kharchenko, Vasyl O.
  • Bashtova, Anna I.
  • Lysenko, Irina O.

Abstract

We study dynamics of pattern formation in a prototype system of nonequilibrium point defects in thin foils under sustained nonequilibrium conditions. A reaction–diffusion model describing spatio-temporal behaviour of both vacancy population and local temperature of a surface layer is used. It is shown that pattern selection processes caused by coupling between defect population and local temperature of a surface are realized. Associated oscillatory dynamics of main statistical moments of both vacancy concentration field and surface layer temperature is analysed in detail. It is found that during the system evolution spatial distribution of local temperature variations of the surface layer relates to vacancy population distribution. It is shown that the mean size of vacancy clusters (from 30 nm up to 300 nm) evolves in oscillatory manner due to pattern selection processes. Morphology of defect complexes can be controlled by defects generation rate.

Suggested Citation

  • Kharchenko, Dmitrii O. & Kharchenko, Vasyl O. & Bashtova, Anna I. & Lysenko, Irina O., 2016. "Patterning and pattern selection in a surface layer: Feedback between point defects population and surface layer temperature variations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 152-162.
    • Handle: RePEc:eee:phsmap:v:463:y:2016:i:c:p:152-162
    DOI: 10.1016/j.physa.2016.07.019
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    Cited by:

    1. Hernández Guillén, J.D. & Martín del Rey, A., 2020. "A mathematical model for malware spread on WSNs with population dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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