1D to 3D diffusion-reaction kinetics of defects in crystals

H. Trinkaus, H.L. Heinisch, A.V. Barashev, S.I. Golubov, B.N. Singh

    Research output: Contribution to journalJournal articleResearchpeer-review


    Microstructural features evolving in crystalline solids from diffusion-reaction kinetics of mobile components depend crucially on the dimension of the underlying diffusion process which is commonly assumed to be three-dimensional (3D). In metals, irradiation-induced displacement cascades produce clusters of self-interstitials performing 1D diffusion. Changes between equivalent 1D diffusion paths and transversal diffusion result in diffusion-reaction kinetics between one and three dimensions. An analytical approach suggests a single-variable function (master curve) interpolating between the 1D and 3D limiting cases. The analytical result is fully confirmed by kinetic Monte Carlo simulations.
    Original languageEnglish
    JournalPhysical Review B Condensed Matter
    Issue number6
    Pages (from-to)060105
    Number of pages4
    Publication statusPublished - 2002


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