Abstract
Abstract A model of grain boundary diffusion is considered in which the diffusivity in the boundary region is anisotropic and coordinate-dependent. For the usual experimental conditions, approximate analytical solutions of the model appear to coincide in form with those of Fisher's uniform isotropic slab model, but the role of the boundary diffusion coefficient and the boundary width is played by respective effective quantities related to the local diffusion behaviour. The accuracy of the analytical solutions obtained is estimated by comparing with the results of finite-difference calculations on the basis of exact diffusion equations. The model may be used for relating experimentally measured grain boundary diffusion characteristics to the results of modelling atomic jumps along grain boundaries.
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