Macroscopic description of interface migration by ledge and kink motion controlled by volume diffusion View Full Text


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Article Info

DATE

1991-06

AUTHORS

W. W. Mullins

ABSTRACT

A macroscopic description is developed of the diffusion-limited migration of an interface on which only certain preferred interface sites(e.g., kinks or ledges) serve as diffusion sinks. The interface is assumed to be macroscopically flat and is represented by a mathematical plane, ∑. The description is developed by (1) deriving a one-dimensional diffusion equation forc, the concentration averaged over planes parallel to ∑, (2) establishing a macroscopic boundary condition relatingc to the normal gradient ofc at ∑ in terms of the interface structure(i.e., sink site distribution), and (3) evaluating the boundary condition, in the limit of very low super-saturation, for several idealized models of ledged or kinked interfaces. Two types of growth problems are then treated in the low supersaturation limit: a macrosteady-state problem, in which the interface grows into a finite slab of matrix in which the gradient of c is approximately uniform, and a time-dependent problem, in which an interface of fixed structure advances into a semi-infinite slab of uniform initial concentration. The results are compared to computer simulations and to previous work. Possible extensions of the approach to nonplanar interfaces are discussed. More... »

PAGES

1225-1233

References to SciGraph publications

  • 1982. Crystal Growth Kinetics in INTERFACIAL ASPECTS OF PHASE TRANSFORMATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02660654

    DOI

    http://dx.doi.org/10.1007/bf02660654

    DIMENSIONS

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