Continuum theory of vacancy-mediated diffusion

T. J. Newman

    Research output: Contribution to journalArticle

    11 Citations (Scopus)

    Abstract

    We present and solve a continuum theory of vacancy-mediated diffusion (as evidenced, for example, in the vacancy driven motion of tracers in crystals). We restrict our attention to ultralow vacancy densities, so that a tracer only experiences a single vacancy over the time scales of interest. Results are obtained for all spatial dimensions, and reveal the strongly non-Gaussian nature of the tracer fluctuations. In integer dimensions, our results are in complete agreement with those from previous exact lattice calculations. We also extend our model to describe the vacancy-driven fluctuations of a slaved flux line.
    Original languageEnglish
    Pages (from-to)13754-13763
    Number of pages10
    JournalPhysical Review B: Condensed Matter and Materials Physics
    Volume59
    Issue number21
    DOIs
    Publication statusPublished - 1 Jun 1999

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